Factor. Decimal Concepts. 3 Examples/ Counterexamples. What is a Decimal? Vocab Word. Slide 2 / 192. Slide 1 / 192. Slide 3 / 192.
|
|
- Paula Lang
- 6 years ago
- Views:
Transcription
1 Slide 1 / 192 Slide 2 / 192 New Jersey enter for Teaching and Learning Progressive Mathematics Initiative 5th Grade This material is made freely available at and is intended for the non-commercial use of students and teachers. These materials may not be used for any commercial purpose without the written permission of the owners. NJTL maintains its website for the convenience of teachers who wish to make their work available to other teachers, participate in a virtual professional learning community, and/or provide access to course materials to parents, students and others. ecimal oncepts lick to go to website: Slide 3 / 192 Slide 4 / 192 Table of ontents lick on a topic to go to that section. What is a ecimal? The charts have 4 parts. 1 Factor Vocab Word Identify Place Values whole number that can divide into another number with no remainder. Read and Write ecimals whole number that multiplies with another number to make a third number. ompare & Order ecimals 15 Numbers to esignated Place Values 3 3 Examples/ ounterexamples Slide 5 / 192 (s it is used in the lesson.) 5 R is a factor of 15 Glossary 2 Its meaning 3 x 5 = 15 3 is not a factor of 16 3 and 5 are factors of 15 4 ack to Link to return to the instructional page. Instruction Slide 6 / 192 Vocabulary words are identified with a dotted underline. Sometimes when you subtract the fractions, you find that you can't because the first numerator is smaller than the second! When this happens, you need to regroup from the whole number. (lick on the dotted underline.) What is a ecimal? How many thirds are in 1 whole? How many fifths are in 1 whole? How many ninths are in 1 whole? The underline is linked to the page in the presentation's glossary containing the vocab chart. Return to Table of ontents
2 Slide 7 / 192 Slide 8 / 192 Where do we see decimals being used? lick on the photo to find out! What is a decimal number? In baseball, batting averages are in decimals. Miguel abrera has a batting average of In races to show speed. The women's record for the fastest 100 meter dash is seconds. ecimal Number (based on the number 10, tenth parts, and powers of ten) contains a ecimal Point. lick to find out! Music Stations that show their radio frequency in decimals. With money to show dollars and change. This shows $6.91. nd many other places! Slide 9 / 192 Slide 10 / 192 ecimals are used in situations when more precision is needed. Lets take a look at decimals on a number line. lick on the picture below for an interactive number line. Teacher Notes Why do we need decimals? For instance, when two people cross the finish line, someone will win by a fraction of a second. We show those fractions as decimals. If you are spending money, many things are not worth an exact dollar amount. Slide 11 / 192 Slide 12 / 192 Our place value chart is almost like a mirror image, with a line between the ones place and the decimal point. Identify Place Values thousands hundreds tens ones. tenth hundredth thousandths Return to Table of ontents Everything to the left ends in "s" and everything to the right ends in "ths"
3 Slide 13 / 192 Slide 14 / 192 Place Value hart 987, Teacher Notes 1 What digit is in the thousandths place? Slide 14 () / What digit is in the thousandths place? 2 What digit is in the tenths place? 987, , Slide 15 () / What digit is in the hundredths place? 2 What digit is in the tenths place? 987, Slide 16 / , Slide 15 / 192
4 Slide 16 () / 192 Slide 17 / , Yellow Rod How many yellow rods are needed to fill the blue block? click 1 What is the value of a yellow rod? one-tenth (0.1) click 2 lue lock One Unit (1) Slide 17 () / 192 Slide 18 / 192 Teacher Notes Tenths Think of it in terms of money. How many dimes does it take to make a dollar? Yellow Rod Use this page for students to gain an How many yellow rods understanding of are what needed to fill the blue tenths and hundredths look like. block? dimes = 1 dollar 10 click What is the value of a yellow rod? one-tenth (0.1) click lue lock One Unit (1) So, a dime is one tenth of a whole dollar. Slide 19 / 192 Slide 19 () / 192 Hundredths Hundredths Yellow Rod Yellow Rod Red lock Red lock How many red blocks are needed to fill the blue block? 100 (Hint: Fill a yellow rod with red blocks) How many red blocks are needed to fill the blue block? 100 (Hint: Fill a yellow rod with red blocks) click lue lock One Unit (1) Use this page for students to gain an understanding What is the value of aof red what tenths and one-hundredth (0.01) hundredths look like. click lue lock One Unit (1) Teacher Notes What is the value of a red block? one-hundredth (0.01) click Teacher Notes click block? Teacher Notes Tenths 3 What digit is in the hundredths place?
5 Slide 20 / 192 Slide 21 / 192 So a dollar is a whole. Think of it in terms of money. dime is a tenth. How many pennies does it take to make a dollar? nd a penny is a hundredth. pennies = 1 dollar one. tenth hundredth What if we had a coin that was smaller than a penny? So, a penny is one hundredth of a whole dollar. How many times smaller than a penny do you think it would be? What would you call it? Slide 22 / 192 Slide 23 / yellow rods = 0.3 three tenths 23 red blocks = 0.23 twenty three hundredths lue = One Unit lue = One Unit Slide 24 / 192 Slide 24 () / 192 Interactive Number Grid - Use to Show ecimals Interactive Number Grid - Use to Show ecimals Teacher Notes lick to Go to Interactive Site Teacher Notes lick to Go to Interactive Site This site requires Flash 5 Plugin
6 Slide 25 / 192 If the square equals one whole, what does the shaded area represent? If the square equals one whole, what does the shaded area represent? 4 4 Slide 25 () / Slide 26 / 192 If the square equals one whole, what does the shaded area represent? If the square equals one whole, what does the shaded area represent? 5 5 Slide 26 () / If the square equals one whole, what does the shaded area represent? 6 6 Slide 27 () / 192 If the square equals one whole, what does the shaded area represent? Slide 27 /
7 Slide 28 / 192 If the square equals one whole, what does the shaded area represent? If the square equals one whole, what does the shaded area represent? 7 7 Slide 28 () / Slide 29 / 192 If the square equals one whole, what does the shaded area represent? If the square equals one whole, what does the shaded area represent? 8 8 Slide 29 () / Slide 30 / 192 Slide 31 / 192 Lets look at place value using money again. thousands hundreds tens ones. tenth hundredth dime penny pennies = 1 dime dimes = 1 dollar bill 1 dollar bills = 1 ten dollar bill ten dollar bills = 1 hundred dollar bill What do you notice about place value? Place Value s you look at the place value chart, how many times does the value of the number decrease as you go to the right? Each place has a value that is one tenth of the value of its place its left. lick to to reveal
8 Slide 32 / 192 Slide 33 / 192 Lets look at place value using money again. Lets take a closer look at what happens as we move to the left on the place value chart. tens ones. Teacher Notes 10 tens = 1 hundred 10 ones = ten thousands hundreds tenth hundredth dime penny hundred dollars is times as much as ten dollars ten dollars is times as much as a dollar dollar is times as much as a dime dime is times as much as a penny one x 10 = ten x 10 = 1 hundred x 10 = 1 thousand... What do you notice about place value? Slide 34 / 192 Slide 35 / 192 Place Value 1 hundred 10 = ten ten 10 = one s you look at the place value chart, how many times does the value of the number increase as you go to the left? Each place has a value that is 10 times the value of its lick place to the right. to reveal 1 thousand Slide 36 / 192. Lets use place value to compare decimal #s. standard form word form expanded form. hundredths 33 thirty-three hundredths The 3 in the tenths place is ten times as much as the 3 in the hundredths place. Teacher Notes. tenths 10 = 1 hundred. standard form word form expanded form 10 = ten Slide 37 / 192 tenths hundredths 44 forty-four hundredths The 4 in the hundredths place is one tenth the 4 in the tenths place. 10 = 1 Teacher Notes Lets take a closer look at what happens as we move to the right on the place value chart.
9 Slide 38 / 192 Slide 38 () / In the number 3.33, the digit in the tenths place is one tenth of the digit in the hundredths place. True False False True 9 In the number 3.33, the digit in the tenths place is one tenth of the digit in the hundredths place. False Slide 39 / 192 Slide 39 () / In the number , the digit in the thousandths place is one tenth of the digit in the place. ones tenths tenths ones hundredths hundredths 10 In the number , the digit in the thousandths place is one tenth of the digit in the place. Slide 40 / 192 Slide 40 () / digit in the ones place is 100 times as much as a digit in the place. 11 digit in the ones place is 100 times as much as a digit in the place. hundredths tenths hundredths tenths ones ones
10 Slide 41 / 192 Slide 41 () / 192 1/ times 10 times 12 The value of the 6 in is the value of the 6 in /10 12 The value of the 6 in is the value of the 6 in /10 1/ times 100 times From PR sample test From PR sample test Slide 42 / 192 Slide 42 () / The value of the 3 in is the value of the 3 in /10 13 The value of the 3 in is the value of the 3 in / times 1/ times 10 times 1/ times From PR sample test From PR sample test Slide 43 / 192 Slide 44 / ecimals on the number line 3 What does each line, between the whole numbers 2 and 3, represent on this number line? Label the number line. Teacher Notes ecimals on the number line What does each line, between the whole numbers 32 and 33, represent on this number line? Label the number line.
11 Slide 45 / 192 Slide 46 / 192 ecimals on the number line ecimals on the number line What does each line, between the decimal numbers 4.3 and 4.4, represent on this number line? What does each line, between the decimal numbers 0.63 and 0.64, represent on this number line? Label the number line. Label the number line. Slide 47 / 192 Slide 48 / 192 National Library of Virtual Manipulatives 14 lick to go to web site. hange Places to "ecimals" at the bottom left. Which letter corresponds to the number 4.4 on this number line? 10 0 Zoom in to drag the dot more precisely. Slide 48 () / Which letter corresponds to the number 6.8 on this number line? 0 10 Which letter corresponds to the number 4.4 on this number line? 14 Slide 49 / 192
12 Slide 49 () / Which letter corresponds to the number 0.8 on this number line? 0 1 Which letter corresponds to the number 6.8 on this number line? 15 Slide 50 / 192 Slide 50 () / Which letter corresponds to the number 7.2 on this number line? Which letter corresponds to the number 0.8 on this number line? 16 Slide 51 / 192 Slide 51 () / Which letter corresponds to the number 19.3 on this number line? Which letter corresponds to the number 7.2 on this number line? 17 Slide 52 / 192
13 Slide 52 () / Which letter corresponds to the number on this number line? Which letter corresponds to the number 19.3 on this number line? 18 Slide 53 / 192 Slide 53 () / 192 Which letter corresponds to the number 5.35 on this number line? Which letter corresponds to the number on this number line? 4 19 Slide 54 / 192 Slide 54 () / Which letter corresponds to the number 1.08 on this number line? Not plotted on this number line Which letter corresponds to the number 5.35 on this number line? 20 Slide 55 / 192
14 Slide 55 () / [This object is a pull tab] Not plotted on this number line Which letter corresponds to the number 6.23 on this number line? Not plotted on this number line Slide 56 () / 192 Which letter corresponds to the number 6.23 on this number line? Slide 57 () / Which letter corresponds to the number 17.4 on this number line? Not plotted on this number line Slide 58 / 192 Which letter corresponds to the number 17.4 on this number line? Slide 57 / 192 Not plotted on this number line Not plotted on this number line 1 22 Read & Write ecimals Return to Table of ontents Which letter corresponds to the number 1.08 on this number line? 21 Slide 56 / 192
15 Slide 59 / 192 Slide 60 / 192 Word Form In this unit, we will be working with numbers written in standard, word and expanded form. Word form is simply the number written using words instead of digits, commas, and a period when needed ones 3 2 Lets review each tenths and and and ,000 hundredths thousandths Word Form three and four hundredths two and three hundred fifty-one thousandths eight tenths Slide 62 / 192 ndth andth o u sa ten th redth thous hund an d tenth one an d red ten hund thous o u sa o u sa red th n ten th hund millio To read decimal numbers we: nd nd Slide 61 / 192 9, 8 7 5, Read the number to the left of the decimal 2. Say "and" for the period 3. Read the number to the right of the decimal 4. State the place value of the last digit. This number is read: Nine million, eight hundred seventy-five thousand, six hundred ten N four hundred seventy-nine thousandths Remember the place values after the decimal point start with tenths Slide 64 / s andth thous s hund redth tenth tens 5 an d 3 4 o n es 2 s reds hund an d s thous lick on the the dice, and then read the number. Teacher Notes Slide 63 / 192 an you read the number?
16 Slide 64 () / 192 Teacher Notes lick on the the dice, and then read the number. lick on the double arrows for the first dice and fill in whole numbers. Then click on the double arrows for the second dice and fill in decimal numbers. Slide 65 / 192 How do you write a decimal in words? 1. Look to see if there is a number to the left of the decimal; if so write it out. If there is no number to the left of the decimal, skip to step Write an and for the decimal point. 3. Write the number in the decimal part. 4. Write the word for the place value of the rightmost digit. Write in words Thirteen and twenty-four lick to reveal hundredths The numbers twenty-one through lickalways to reveal ninety-nine are hyphenated. Slide 66 / 192 Slide 67 / 192 How does a comma help when writing a decimal number? Write the decimal in words The place value before the comma is always stated. 1) 5.04 Five and four hundredths For example: 2) One hundred forty-six and four hundred fifty-seven thousandths 1,547 is written One THOUSN, five hundred forty-seven 3).0009 Nine ten-thousandths 4) 6, Six thousand, three hundred forty-five and one hundred forty-nine thousand ths Slide 68 / 192 Slide 69 / 192 Teacher Notes 6,547,100 is written 6 MILLION, five hundred forty-seven THOUSN, one hundred
17 Slide 70 / four and thirty-six four and thirty-six tenths four, thirty-six What is 4.36 in word form? four and thirty-six What is 4.36 in word form? 24 Slide 70 () / 192 four and thirty-six tenths four, thirty-six four and thirty-six hundreths four and thirty-six hundreths Slide 71 / What is in word form? What is in word form? sixty-three and sixty-seven hundredths sixty-three and sixty-seven thousandths sixty-three and sixty-seven thousandths sixty-three and sixty-seven sixty-three and sixty-seven hundredths 25 Slide 71 () / 192 sixty-three and sixty-seven sixty-three, sixty-seven thousandths sixty-three, sixty-seven thousandths 26 What is in word form? zero and four hundred nineteen four hundred nineteen hundredths four hundred nineteen thousandts four one nine 26 Slide 72 () / 192 What is in word form? zero and four hundred nineteen Slide 72 / 192 four hundred nineteen hundredths four hundred nineteen thousandts four one nine
18 Slide 73 / What is 0.09 in Slide 73 () / word form? word form? nine hundredths nine and nine hundredths nine and nine nine and nine What is 0.09 in nine hundredths nine and nine hundredths nine and zero nine tenths nine and zero nine tenths Slide 74 / word form? four zero seven zero two one What is in word form? four zero seven zero two one four hundred seven twenty-one four hundred seven and twenty-one thousandths four hundred seven and twenty-one hundredths four hundred seven twenty-one What is in 28 Slide 74 () / 192 four hundred seven and twenty-one thousandths four hundred seven and twenty-one hundredths Slide 75 / 192 Standard Form Standard form is the way we usually see numbers written, using digits, commas and a period when needed. Standard Form Slide 76 / 192 Standard Form 1. If there is a ths, there will be a decimal 2. If there is an and, there will be a whole number to the left of the decimal 3. Note the ending - this is the place where the decimal number will end 4. Use the decimal chart to help you!
19 Slide 77 / 192 Slide 78 / 192 s Teacher Notes andth thous s redth hund s tenth an d o n es tens red s hund thous an d s Use the chart as a guide to write the decimal numbers in standard form. 1. two hundred sixteen and 2 tenths 2. thirty-two and nine thousandths 3. four thousand, five hundred six and twenty-four hundredths 4. nine hundred and eight hundredths Slide 79 / 192 What is fifty-two and eighteen hundredths? 52,18 52, What is fifty-two and eighteen hundredths? 29 Slide 79 () / Slide 80 / 192 What is five thousand, fifty and five hundredths? , , , , , , What is five thousand, fifty and five hundredths? 30 Slide 80 () / 192
20 Slide 81 / 192 What is six hundred three and four thousandths? What is six hundred three and four thousandths? 31 Slide 81 () / 192 Slide 82 / 192 What is thirty-four hundredths? What is thirty-four hundredths? 32 Slide 82 () / 192 Slide 83 / 192 What is four hundred ninety-five thousandths? What is four hundred ninety-five thousandths? 33 Slide 83 () / 192
21 Slide 84 / 192 Slide 85 / 192 Expanded Form Place value charts make it easy to write numbers in expanded form, because it helps us see the value of each digit ones tenths and and and ,000 hundredths thousandths Expanded Form Slide 86 / 192 Slide 87 / 192 This interactive game will help you practice writing numbers in expanded form. s a class, select the correct building blocks for each place value, then write the number in expanded form. heck your work as a class Slide 88 / 192 Slide 88 () / What is in standard form? 34 What is in standard form? Teacher Notes To write a number in expanded form, the number is written as a sum of the value of each digit.
22 Slide 89 / 192 Slide 89 () / What is in standard form? 35 What is in standard form? Slide 90 / 192 Slide 90 () / Which is equivalent to 30.53? Which is equivalent to 30.53? Slide 91 / Which is equivalent to 0.873? Slide 91 () / Which is equivalent to 0.873?
23 Slide 92 / 192 Slide 92 () / 192 eight tenths 38 Which number is equivalent to 0.08? eight hundredths eight tenths Which number is equivalent to 0.08? eight hundredths Slide 93 / 192 Slide 93 () / Which number is equivalent to three hundred four thousandths Which number is equivalent to three hundred four thousandths Slide 94 / 192 Slide 94 () / Which number is equivalent to sixteen hundredths? 40 Which number is equivalent to sixteen hundredths?
24 Slide 95 / 192 Slide 96 / 192 There are two symbols we use to compare numbers when they are not equal. We call these number sentences inequalities. > (greater than) < (less than) ompare & Order ecimals One number goes on the left of the symbol and another number goes on the right of the symbol. Return to Table of ontents The number on the left of the ">" shows the larger number. For example: 2>1 2 is "greater than" 1 The number on the left of the "<" shows the smaller number. For example: 1<2 1 is "less than" 2 Slide 97 / 192 Slide 98 / 192 omparing ecimals Symbols and Words to remember when comparing numbers SYMOL WORS > greater than/largest < = less than/ smallest equal Slide 99 / 192 Slide 100 / 192 ompare and 0.21 Line up the decimal points Put zeros in wherever digits are missing ompare the digits, from left to right The largest digit, having the same place value, names the largest number Line up the decimal points Put zeros in wherever digits are missing ompare the digits, from left to right The largest digit, having the same place value, names the largest number < 0.21 lick to reveal ompare 0.36 and put zero on the end ompare left to right. 2 is greater than 0, so 0.21 is greatest. Line up the decimal points Put zeros in wherever digits are missing ompare the digits, from left to right The largest digit, having the same place value, names the largest number 0.36lick>to0.312 reveal put zero on the end ompare left to right. 6 is greater than 1, so 0.36 is greatest.
25 Slide 101 / 192 Slide 102 / 192 ecimal Squares Interactive Games ompare and 0.02 Line up the decimal points Put zeros in wherever digits are missing ompare the digits, from left to right The largest digit, having the same place value, names the largest number put zero on the end ompare left to right. 2 is greater than 0, so 0.02 is greatest < 0.02 lick to reveal Slide 103 / 192 Slide 103 () / 192 hoose the correct symbol. > < = hoose the correct symbol. > < 41 In this game the robot won, because is greater than Game could also be played with two students having a spinner and writing down their decimal number. = lick for link Slide 104 / > < = 42 three hundred eleven thousandths hoose the correct symbol > < = three hundred eleven thousandths hoose the correct symbol. 42 Slide 104 () / 192
26 Slide 105 / 192 hoose the correct symbol. > hoose the correct symbol. > < < 43 = 43 Slide 105 () / 192 = 0.05 Slide 106 / Slide 106 () / 192 hoose the correct symbol. > < hoose the correct symbol. > twenty-four hundredths < twenty-four hundredths = = Slide 107 / 192 > < = forty-six hundredths 45 hoose the correct symbol. > 0.6 < = forty-six hundredths hoose the correct symbol. 45 Slide 107 () /
27 Slide 108 / 192 Slide 108 () / 192 Marcel 46 In a paper airplane contest, Marcel's plane travels meters. Salvador's plane travels 3.35 meters. ased on the measurements, whose plane traveled the farthest distance? On your paper, explain you know. If youhow have struggling students, this is a good opportunity to utilize Marcel "think, pair, share." Salvador Salvador (erived from ( (erived from Slide 109 / 192 Slide 110 / 192 Ordering ecimals 47 Line up all of the decimal points ompare the digits, from left to right names the largest number Example: What digit tells us this is the largest number? click ompare the digits 1 Slide 110 () / The number with the least value is: Slide 111 / The number with the least value is: The largest digit, having the same place value, The number with the least value is: Put zeros in wherever digits are missing Why is this the smallest number? This will provide students with a platform to learn [This object is a pull tab] from each other. ( 46 In a paper airplane contest, Marcel's plane travels meters. Salvador's plane travels 3.35 meters. ased on the measurements, whose plane traveled the farthest distance? On your paper, explain how you know.
28 Slide 111 () / 192 The number with the greatest value is: The number with the least value is: 48 Slide 112 / Slide 112 () / The number with the greatest value is: The number with the greatest value is: 49 Slide 113 / 192 Slide 113 () / How much money would you like to win? 0.67 $ $ $ $ The number with the greatest value is: 50 Slide 114 / 192
29 Slide 114 () / 192 How much money would you like to win? 52 Using the following digits, create the largest number you can between 0 and 1. $ $ $ $ , 7, 0, 2 51 Slide 115 / 192 Slide 115 () / Using the following digits, create the largest number you can between 0 and 1. Slide 116 / Using the following digits, create the smallest number you can between 0 and 1. 1, 7, 0, 2 1, 7, 0, Slide 116 () / 192 Slide 117 / 192 Ordering ecimals 53 Using the following digits, create the smallest number you can between 0 and 1. Order the numbers from least to greatest. Move the numbers to put them in order. 1, 7, 0,
30 Slide 118 / 192 Slide 119 / 192 Ordering ecimals 54 Order the numbers from greatest to least. Move the numbers to put them in order. Which of the following is ordered least to greatest? 0.3, 0.03, 0.33, , 0.33, 0.3, Slide 119 () / Which of the following is ordered least to greatest? Slide 120 / Which of the following is ordered least to greatest? 0.3, 0.03, 0.33, , 0.06, , 0.3, 0.33, , 0.06, , 0.33, 0.3, , 0.3, 0.33, , 0.5, Slide 120 () / Which of the following is ordered greatest to least? 0.008, 0.06, , 0.008, 0.087, , 0.06, , 0.087, 0.87, , 0.5, , 0.87, 0.087, Which of the following is ordered least to greatest? 55 Slide 121 / 192
31 Slide 121 () / Which of the following is not correct? 8.07, 0.008, 0.087, > 0.08 > , 0.087, 0.87, > > , 0.87, 0.087, Which of the following is ordered greatest to least? 56 Slide 122 / < 0.08 < 0.23 Slide 122 () / Which of the following is correct? 0.23 > 0.08 > < 0.32 < 0.41 < > > > > 0.41 > < 0.08 < 0.23 Which of the following is not correct? 57 Slide 123 / > 0.41 > > 0.8 Which of the following is correct? 0.8 < 0.32 < 0.41 < > > 0.41 > > 0.41 > > In a paper airplane contest, Marcel's plane travels meters. Salvador's plane travels 3.35 meters. Jennifer's plane travels 3.3 meters. ased on the measurements, who won the contest? On your paper, explain your answer. Marcel Salvador Jennifer (erived from ( 58 Slide 124 / 192 Slide 123 () / 192
32 Slide 124 () / 192 Slide 125 / In a paper airplane contest, Marcel's plane travels meters. Salvador's plane travels 3.35 meters. Jennifer's plane travels 3.3 meters. ased on the measurements, who won the contest? If you have struggling On your paper, explain your answer. students, this is a good opportunity to utilize Marcel "think, pair, share." Numbers to esignated Place Values Jennifer This will provide students with a platform to learn from each other. [This object is a pull tab] (erived from Return to Table of ontents ( Salvador Slide 126 / 192 Slide 127 / 192 Number Line Investigation 0 10 Instructions for the next slide: 1. Roll the die. 2. lick the yellow arrow to pop out the number. 3. Move the number to the correct place on the number line. 4. etermine whether the number is closer to 0 or 10. The dotted line shows the halfway mark between 0 and 10. Think, Pair, Share: This can be repeated six times. What rule can you use to determine whether any given number is closer to 0 or to 10? Slide 128 / 192 Slide 129 / 192 ing 8,749 to the nearest ten. 1. Put your pencil point under the digit in the tens place. Look to the right. ing makes numbers easier to work with in your head. ed numbers are only approximate. n exact answer generally can not be obtained using rounded numbers. Use rounding to get an answer that is close and does not have to be exact. 2. Is the digit 5 or more? Yes OR No 3. What happens to the digit? Increases by 1 OR remains the same 4. What happens to everything to the left of the tens place? Those digits always remain the same. 5. What happens to everything to the right of the tens place? Those digits become zero. Teacher Notes Review
33 Slide 129 () / 192 8,749 to the nearest ten. 2. Is the digit 5 or more? Yes OR No Teacher Notes 1. Put your pencil point under the digit in the tens place. Look to the right. Move pencil under the digit that is being rounded to Slide 130 / 192 Review 8,749 to the nearest hundred. 1. Put your pencil point under the digit in the tens place. Look to the right. 2. Is the digit 5 or more? Yes OR No 3. What happens to the digit? 3. What happens to the digit? Increases by 1 OR remains the same Teacher Notes Review Increases by 1 OR remains the same 4. What happens to everything to the left of the tens place? Those digits always remain the same. 5. What happens to everything to the right of the tens place? Those digits become zero. 4. What happens to everything to the left of the hundreds place? Those digits always remain the same. 5. What happens to everything to the right of the hundreds place? Those digits become zero. Slide 130 () / 192 Slide 131 / 192 Review 8,749 to the nearest hundred to the nearest ten. Move pencil under the digit that is being rounded to 2. Is the digit 5 or more? Yes OR No Teacher Notes 1. Put your pencil point under the digit in the tens place. Look to the right. 3. What happens to the digit? Increases by 1 OR remains the same 4. What happens to everything to the left of the hundreds place? Those digits always remain the same. 5. What happens to everything to the right of the hundreds place? Those digits become zero. Slide 131 () / to the nearest ten ,561 to the nearest hundred. 60 Slide 132 / 192
34 Slide 132 () / 192 Slide 133 / ,561 to the nearest hundred. 564,012 to the nearest hundred thousand. 61 4,600 Slide 133 () / Slide 134 / ,399 to the nearest thousand. 564,012 to the nearest hundred thousand. 600,000 Slide 134 () / ,399 to the nearest thousand. 7,000 63,752 to the nearest hundred. 63 Slide 135 / 192
35 Slide 135 () / 192 Slide 136 / 192 What happens in this case? 64 63, to the nearest ten. to the nearest hundred. 63,800 The 7 to the right of the 9 tells us to increase the 9 by 1. What happens? Slide 137 / 192 Slide 137 () / ,972 to the nearest hundred. 3,972 to the nearest hundred. 4,000 Slide 138 / 192 Slide 138 () / to the nearest ten. 98 to the nearest ten
36 Slide 139 / 192 Slide 139 () / to the nearest 399,238 ten thousand. 399,238 ten thousand. to the nearest ,000 Slide 140 / 192 Slide 140 () / ,521 to the nearest thousand. 9,521 to the nearest thousand. 10,000 Slide 141 / 192 Slide 141 () / ,983 to the nearest hundred. 9,983 to the nearest hundred ,000
37 Slide 142 / 192 Slide 143 / 192 Number Line Investigation 1 2 Instructions for the next slide: 1. Roll the die. 2. lick the yellow arrow to pop out the number. 3. Position the number in the correct place on the number line. 4. etermine whether the number is closer to 1 or 2. The dotted line shows the halfway mark between 1 and 2. This can be repeated six times. Think, Pair, Share: What rule can you use to determine whether any given number is closer to 1 or to 2? Slide 144 / 192 ing ecimals Let's learn how to round decimals using the following examples: to the nearest tenths place. When rounding decimals, put your pencil point under the place value that you are rounding to O NOT MOVE IT Slide 145 / to the nearest tenth. 1. Put your pencil point under the digit in the tenths place. Look to the right. 2. Is the digit 5 or more? Yes OR No 3. What happens to the digit? Increases by 1 OR remains the same 4. What happens to everything to the left of the tenths place? Those digits always remain the same. Slide 146 / What happened to the digits to the right of the tenths place? Slide 147 / to the hundredths place. Remember, we are rounding. 1. Put your pencil point under the digit in the hundredths place. Look to the right. The place values to the right of the tenths place have zero value, so now the digits 6 and 8 become zeroes. 2. Is the digit 5 or more? Yes OR No = What happens to the digit? Increases by 1 OR remains the same However we leave the zeros off when they are at the end of a number to the right of the decimal point. 4. What happens to everything to the left of the hundredths place? Those digits always remain the same. 5. What happens to everything to the right of the hundredths place? Those digits become zero (and we leave them off since they are to the right of the decimal).
38 Slide 148 / 192 Slide 149 / 192 Which of the decimals round to 0.02? Try this: to the nearest hundredths place : lick to reveal 0.02 Slide 150 / 192 Slide 150 () / to the nearest hundredth. to the nearest hundredth Slide 151 / to the nearest ten. to the nearest ten Slide 151 () /
39 Slide 152 / to the nearest hundred. to the nearest hundred Slide 152 () / 192 6,900 Slide 153 / to the nearest tenth. to the nearest tenth Slide 153 () / Slide 154 / to the nearest thousand. to the nearest thousand Slide 154 () / 192 7,000
40 Slide 155 / 192 Slide 155 () / to the nearest thousandth to the nearest thousandth Slide 156 / 192 When rounding to a specific place, your answer MUST have a digit in that place Example: to the nearest tenth to the nearest tenth. : 24.0 There must be a digit in the tenths place, since we were to round to the tenths place. Slide 157 () / 192 Slide 158 / to the nearest tenth. to the nearest hundredth aution! Slide 157 / 192
41 Slide 158 () / to the nearest hundredth. to the nearest tenth Slide 159 / 192 Slide 159 () / to the nearest tenth. to the nearest thousandth Slide 160 / 192 Slide 160 () / to the nearest thousandth. to the nearest tenth Slide 161 / 192
42 Slide 161 () / Slide 162 / decimal number has two digits to the right of its decimal point. If we round it to the nearest tenth, the result is What is the maximum possible value of this decimal? On your paper, use words and the number line to explain your reasoning to the nearest tenth. (Problem derived from Slide 163 / decimal number has two digits to the right of its decimal point. If we round it to the nearest tenth, the result is What is the minimum possible value of this decimal? On your paper, use words and the number line to explain your reasoning. 81 decimal number has two digits to the right of its decimal point. If we round it to the nearest tenth, the result is What is the maximum possible value of this decimal? On your paper, use words and the number line to explain your reasoning. ( Slide 162 () / ( (Problem derived from Slide 163 () / 192 Slide 164 / Jules reads that one pint is equivalent to liters. He asks his teacher how many liters there are in a pint. His teacher responds that there are about 0.47 liters in a pint. He asks his parents, and they say there are about 0.5 liters in a pint. Who is correct? On your paper, explain your answer. 82 decimal number has two digits to the right of its decimal point. If we round it to the nearest tenth, the result is What is the minimum possible value of this decimal? On your paper, use words and the number line to explain your reasoning. His teacher His parents oth of them ( (Problem derived from (Problem derived from ( ( (Problem derived from
43 Slide 164 () / 192 Slide 165 / 192 Or have them choose a corner of the room (assign a letter to each of 3 His parents corners) and justify their answer. Students can then persuade each [This object is a pull tab] at the correct answer. oth of themother to arrive (Problem derived from cm cm cm Slide 165 () / 192 Slide 166 / Rainfall collected in a rain gauge was found to be 3.4 cm when rounded to the nearest tenth of a centimeter. Select all the measurements below that could be the actual measurement of the rainfall cm cm 85 nnual rainfall total for cities in New York are listed below. Rochester Ithaca 0.97 meters meters Saratoga Springs New York ity 1.5 meters meters the smallest total rainfall to the nearest tenth cm cm (erived from Slide 166 () / 192 rag and rop nnual rainfall total for cities in New York are listed below. Ithaca 0.97 meters Rochester rag and drop one number into each box. When you are finished, the number inside each box should match the number below the box when rounded to the nearest hundredth meters Saratoga Springs New York ity 1.5 meters 0.9 meters meters the smallest total rainfall[this toobject the nearest tenth. is a pull tab] (erived from ( 85 Slide 167 / 192 From PR sample test ( cm ( group, before discussing it as a class. His teacher 84 Rainfall collected in a rain gauge was found to be 3.4 cm when rounded to the nearest tenth of a centimeter. Select all the measurements below that could be the actual measurement of the rainfall. 83 Jules reads that one pint is equivalent to liters. He asks his teacher how many liters there are in a there are about 0.47 pint. His teacher responds that liters in a pint. He asks having his parents, onsider studentsand write they their say explanations, their answers, there are about 0.5 liters insubmit a pint. Who is correct? then pair-share a partner or their On your paper, explain your with answer.
44 Use rounding to estimate answers to problems. t a restaurant, a burger is $5.99, fries are $3.85 and a small drink is $1.29. to the nearest dollar to estimate the cost to purchase all three items. ost Estimate $5.99 $6 $3.85 $4 $1.29 $1 Slide 169 / the following items, to the nearest dollar, to figure out the approximate cost if all of the items were bought. pens $2.99 pencils $2.20 book bag $15.75 Slide 168 / 192 It would cost about $11 to purchase all three items. 86 the following items, to the nearest dollar, to figure out the approximate cost if all of the items were bought. pens $2.99 pencils $2.20 book bag $15.75 $3+$2+$16 =$21.00 Slide 170 / the following items to the nearest dollar to figure out the approximate cost if all of the items were bought. jeans $24.99 t-shirt $6.79 hat $12.31 Slide 169 () / the following items to the nearest dollar to figure out the approximate cost if all of the items were bought. jeans $24.99 t-shirt $6.79$25+$7+$12 hat $12.31 =$44.00 Slide 171 / the following items to the nearest dollar to figure out the approximate cost if all of the items were bought. milk $3.79 bread $2.15 juice $2.40 Slide 170 () / 192
45 88 the following items to the nearest dollar to figure out the approximate cost if all of the items were bought. milk $3.79 bread $2.15 juice $2.40 $4+$2+$2 = $8 Slide 172 / the following items to the nearest half dollar to figure out the approximate cost if all of the items were bought. chicken $8.60 potatoes $2.45 peas $0.99 Slide 171 () / the following items to the nearest half dollar to figure out the approximate cost if all of the items were bought. chicken $8.60 potatoes $2.45 peas$9.00+$2.50+$1.00 $0.99 Slide 173 / the following items to the nearest half dollar to figure out the cost if all of the items were bought. apples $4.60 bananas $1.90 oranges $3.10 =$12.50 Slide 172 () / the following items to the nearest half dollar to figure out the cost if all of the items were bought. apples $4.60 bananas $1.90 oranges $3.10 $5.00+$ = $10.00 Slide 174 / the following items to the nearest ten dollars to figure out the approximate cost if all of the items were bought. sneakers $36.21 sweatshirt $13.99 socks $6.00 Slide 173 () / 192
46 Slide 174 () / 192 Slide 175 / the following items to the nearest ten dollars to figure 92 the following items to the nearest hundred dollars to figure out the approximate cost if all of the items were bought. computer$ printer $ desk $ sneakers $36.21 sweatshirt $13.99 $40.00+$10.00+$10.00= socks $6.00 $60.00 out the approximate cost if all of the items were bought. Slide 175 () / 192 Slide 176 / the following items to the nearest hundred dollars to figure out the approximate cost if all of the items were bought. Glossary computer$ printer $700+$200+$200= $ desk $ $1100 Return to Table of ontents Slide 177 / 192 Slide 178 / 192 ecimal Number Expanded Form ecimal Number (based on the number 10, tenth parts, and powers of ten) contains a ecimal Point. When a number is written as a sum of the value of each digit = ack to ack to Instruction Instruction
47 Slide 179 / 192 Slide 180 / 192 Greater Than Hundredths symbol that shows that the number on the left is larger than the number on the right. part of one whole that has been divided into 100 equal parts. lso, a part of one tenth that has been divided into 10 equal parts. the alligator eats the bigger number.4 > four tenths is greater than two tenths ack to ack to 0.01 Instruction Slide 181 / 192 Instruction Slide 182 / 192 Inequality Less Than number statement that shows that two numbers are not equal. symbol that shows that the number on the left is smaller than the number on the right..2 =.4.4 >.2 four tenths is greater than two tenths.2 <.4 two tenths is less than four tenths two tenths is not equal to four tenths the alligator will not eat the smaller # ack to.2 <.4 two tenths is less than four tenths Instruction ack to Instruction Slide 183 / 192 Slide 184 / 192 Place Value Standard Form The value of a digit depending on its position in a number. Standard form is the way we usually see numbers written, using digits, commas and a period when needed ack to Instruction ack to Instruction
48 Slide 185 / 192 Slide 186 / 192 Tenths Thousandths part of one whole that has been divided into 10 equal parts. part of one whole that has been divided into 1,000 equal parts. lso, a part of one tenth that has been divided into 100 equal parts, and a part of one hundredth that has been divided into 10 equal parts ack to ack to Instruction Instruction Slide 187 / 192 Slide 188 / 192 Word Form Unit Word form is a number written using words instead of digits, commas, and a period when needed. unit is used to describe one of something. In place value, a unit is the ones place. $2.99 for 16 oz $ for 1 oz three dollars and forty-four cents Unit (1 unit) :24pm three and forty-five hundredths Eight twenty-four pm ack to ack to Instruction Instruction Slide 189 / 192 Slide 190 / 192 ack to ack to Instruction Instruction
49 Slide 191 / 192 Slide 192 / 192 ack to ack to Instruction Instruction
5th Grade Decimal Concepts
Slide 1 / 192 Slide 2 / 192 5th Grade Decimal Concepts 2015-11-16 www.njctl.org Slide 3 / 192 Table of Contents What is a Decimal? Click on a topic to go to that section. Identify Place Values Read and
More information5th Grade. Slide 1 / 192. Slide 2 / 192. Slide 3 / 192. Decimal Concepts. Table of Contents
Slide 1 / 192 Slide 2 / 192 5th Grade Decimal Concepts 2015-11-16 www.njctl.org Table of Contents Slide 3 / 192 What is a Decimal? Click on a topic to go to that section. Identify Place Values Read and
More informationDecimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.
Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 8.09 In a whole number the decimal point is all the way to the right, even if it is not shown in
More informationGap Closing. Representing and Comparing Decimals. Junior / Intermediate Student Book
Gap Closing Representing and Comparing Decimals Junior / Intermediate Student Book Module 7 Representing and Comparing Decimals Diagnostic...4 Representing Decimal Tenths...7 Representing Decimal Hundredths...10
More informationAccuplacer Arithmetic Study Guide
Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how
More informationMathematics Spiral Review Quarter 1.1 Grade 5
Mathematics Spiral Review Quarter 1.1 Basic Computation (4.NBT.4) 378 + 1,761 = Write 538 using number names and expanded form. Estimation (4.NBT.3) Round to the nearest hundred: 329 6,582 Skill of the
More informationPart 1: Decimals. The decimal point separates the whole numbers from the fractional part of a
Part 1: Decimals Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 1328. 1095 In a whole number the decimal point is all the way to the right, even
More informationThird Grade Pre/Post Test
Third Grade Pre/Post Test Instructions: Questions 1-53 Choose the best answer for each question. What fractional part of the rectangle is shaded? How much is of 20 pennies? $.01 $.05 $.10 $.15 What is
More informationWriting Number Names Using Root Number Words. Write the number names. Highlight or underline any letters that recur.
Lesson 1 Writing Number Names Using Root Number Words Write the number names. Highlight or underline any letters that recur. 4 four 14 fourteen 40 4th fourth 14th 40th four hundredth 2 twelve 20 2nd 12th
More informationSECTION 1. READING AND WRITING NUMBERS PLACE VALUE
Ten Millions Millions Hundred-thousands Ten-thousands Thousands Hundreds Tens Ones Decimal point Tenths Hundredths Thousandths Ten-thousandths Hundred-thousandths Millionths SECTION 1. READING AND WRITING
More informationStudy Guide: 5.1 Rounding Decimals
Standard: 5.1- The student, given a decimal through thousandths, will round to the nearest whole number, tenth, or hundredth. What you need to know: How to round to the nearest whole number (which is the
More informationMATH STUDENT BOOK. 7th Grade Unit 3
MATH STUDENT BOOK 7th Grade Unit 3 Unit 3 Decimals Math 703 Decimals Introduction 3 1. Decimals and Their Operations 5 Comparing and Ordering Decimals 5 Rounding and Estimating Decimals 11 Adding and Subtracting
More information8. A. 5.62; 5 wholes, 6 tenths, and 2 hundredths B C. 6 D A.* two and three-hundredths. B.* and 2.03
Student Guide Questions 2 (SG pp. 466 4). A.* A denominator of means the whole is divided into equal parts. In this case, one dollar is divided into cents. * A numerator of means we are interested in of
More informationUnit 8: Home Practice
Unit 8: Home Practice Part Triangle Flash Cards: All the Facts Study for the quiz on the multiplication and division facts. Take home your Triangle Flash Cards and your list of facts you need to study.
More informationCHAPTER 4: DECIMALS. Image from Microsoft Office Clip Art CHAPTER 4 CONTENTS
CHAPTER 4: DECIMALS Image from Microsoft Office Clip Art CHAPTER 4 CONTENTS 4.1 Introduction to Decimals 4.2 Converting between Decimals and Fractions 4.3 Addition and Subtraction of Decimals 4.4 Multiplication
More informationTopic 1 Place Value. Name. Test Date
Topic 1 Place Value Name Test Date 1. Eli s family eats 1 _ 3 pizzas. Which 8 drawing has 1 _ 3 8 shaded? A Daily Common Core Review 1-1 3. Mr. Martin works 9 hours each day for 5 days. What is the total
More informationul tive Review for Chapters 7 and 8 Concepts and Skills Write each fraction or mixed number as a decimal. (Lesson 7.1)
Name: Date: Cu ul tive Review for Chapters 7 and 8 Concepts and Skills Write each fraction or mixed number as a decimal. (Lesson 7.1) 1. 4 10 5 2. 3 3 10 5 3. 18 10 5 Write each decimal in tenths. (Lesson
More informationUNIT 7 PRACTICE PROBLEMS
UNIT 7 PRACTICE PROBLEMS 1 Shade the indicated quantity and rewrite in the indicated forms a) 38 hundredths b) 15 100 Decimal: Expanded Form: Fraction Form: Decimal: Expanded Form: Word Name: c) 2 tenths
More informationCombining Unlike Integers
Math, Lesson Lesson pp. 8- Lesson Preparation Drill Do Speed Drill and write the number correct in the blank. Speed Drill Combining Unlike Integers Unlike integers are both positive and negative numbers
More informationHow do you write one million five hundred thousand dollars in numbers
How do you write one million five hundred thousand dollars in numbers Proper English rules for when and how to write numbers. Consistent: You can earn from one million to five million dollars. Inconsistent:
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication
More informationProperties of Numbers
Properties of Numbers 1. Round three thousand six hundred and seventy-two to the nearest hundred. 2. What is three point five to the nearest whole number? 3. Find a square number between forty and fifty.
More informationREVIEW TEST Find the least common multiple (LCM) of the numbers 4, 18. A) 4 B) 2 C) 72 D) 1 E) 36
REVIEW TEST 2. Find the least common multiple (LCM) of the numbers, 8. 2 72 6 2. Find the least common multiple (LCM) of the numbers 2, 20. 20 60 2. Find the greatest common factor (GCF) of the numbers,
More information2. Write a decimal that is equivalent. 4. Which of the following is NOT equal to ½? a. 0.5
Name Standard: 30.NF.5 express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100 (e.g.,
More informationFractions Unit Review Packet
Fractions Unit Review Packet 1. There are 1,716 students participating in Wellness Day. They are put into teams of 16 for the competition. How many teams are created? Will there be any extra students?
More informationGrade 6 Decimals. Answer the questions. For more such worksheets visit
ID : cn-6-decimals [1] Grade 6 Decimals For more such worksheets visit www.edugain.com Answer the questions (1) What is the smallest number that should be subtracted from 15.27 to give a prime number?
More informationGreenwood International School. Grade 4
Greenwood International School Math Revision Term 1 Grade 4 Name: Section: Date: 1. a- Which state had a population of eight hundred four thousand, one hundred ninety-four? b- What is the value of the
More informationAreas of Rectangles. Reteaching 31. Name. Practice:
Areas of Rectangles Reteaching 31 Math Course 1, Lesson 31 When we measure the inside of a flat shape, we measure area. Cover is the cue word for area. Area of a rectangle = length width Label square units.
More informationNumber & Place Value: Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit.
Number & Place Value: Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit. Learning focus Read large numbers, recognising when to change between hundreds,
More information7.7 Converting Customary Units
7.7 Converting Customary Units Introduction The Amazon Jacob is in Julie s class and he loves to play jokes. When he finds out that Julie is working on a rainforest project, he decides to play a joke on
More informationThe area of San Diego is eight hundred and forty two thousand, two hundred and thirty three square kilometers. Cardinal Numbers. 51 One.
1. Introduction: Numbers can be classified as either cardinal or ordinal. Cardinal numbers are the ones that expresses quantity, while the ordinal numbers indicate the order in which a given someone or
More informationCopyright 2015 Edmentum - All rights reserved.
Study Island Copyright 2015 Edmentum - All rights reserved. Generation Date: 05/25/2015 Generated By: Matthew Beyranevand Students Entering Grade 6 Part 1 Explanations Explanations 1. -- 2. Since there
More informationCumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.
Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication
More informationEssentials. Week by. Week. Investigations
Week by Week MATHEMATICS Essentials Grade 5 WEEK Math Trivia Bees are smart mathematicians. They choose to build hexagonal cells in their honeycombs. Mathematicians have shown that only regular hexagons,
More informationModule 1- Mid Module Review Part 1- Classwork
Name Date Module 1- Mid Module Review Part 1- Classwork 1. Compare using >,
More informationN2-3 Rounding and Approximation
N2-3 Rounding and Approximation rounding of numbers approximate calculations Pre-requisites: N2-2 (Decimal Operations 1) Estimated Time: 3 hours Summary Lead In Learn Solve Revise Answers Summary We can
More information5 th Grade Review Quizzes #1-5
5 th Grade Review Quizzes #1-5 [ T y p e t h e c o m p a n y a d d r e s s ] Name Date 5 th Grade Review Quiz #1 1. Which number is less than 652,173,948? A 672,173,948 B 642,173,948 C 662,173,948 D 652,193,948
More informationTopic 3 Place Value. Exam Intervention Booklet
Topic 3 Place Value Exam Intervention Booklet Intervention Lesson F3 Reading and Writing 4-Digit Numbers 1. Write 2,537 in the place-value chart below. thousands hundreds tens ones 2. What place is the
More informationNumbers up to 10,000
Numbers up to 10,000 = 1,000 + + + + + + + + + = 10,000 10,000 = 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 + 1,000 (Note: 10 sets of 1,000 make 10,000) Copyright 2010 Seriously
More informationStudy Guide Grade 5 Unit 1, Test 2 of 2
Study Guide Grade 5 Unit 1, Test 2 of 2 Name: Date: Complete each question. Show all work needed to solve the problem. 1. Mrs. Harrer swims a race in 29.578 seconds. What is her race time rounded to the
More informationUNDERSTANDING DECIMALS
UNDERSTANDING DECIMALS Decimals, like fractions show a part of something. Money is a common example. Dollars and cents are separated by a decimal point: dollars (whole numbers) are to the left of the decimal
More informationDEFINING SIGNIFICANT FIGURES. Any measurement made is only as detailed and accurate as the tool used to make the measurement.
SIGNIFICANT FIGURES DEFINING SIGNIFICANT FIGURES Any measurement made is only as detailed and accurate as the tool used to make the measurement. ESTIMATE 1 DIGIT As a scientists uses a tool, the scientist
More informationDECIMALS. Decimal Place Value and Rounding Decimals
DECIMALS Decimal Place Value and Rounding Decimals For Learning To Happen: Remove all other thoughts from your mind. Pay close attention. Try all the examples. Ignore all other distractions. Thousands
More informationAdd and Subtract Decimals Through Thousandths. How can you record addition and subtraction of decimals through thousandths?
? Name 1.7 dd and Subtract ecimals Through Thousandths Essential Question How can you record addition and subtraction of decimals through thousandths? Number and Operations 5.3.K lso 5.3. MTHEMTIL PROESSES
More informationLabel the lines below with S for the same meanings or D for different meanings.
Numbers in English- The Same or Listening and presentation Without looking below, listen to your teacher and raise the cards you ve been given depending on what you think about the meanings of the numbers
More informationMarch Madness Basketball Tournament
March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: -Print out all the worksheets. -Introduce
More informationRounding, Estimation, and Order
1.4 Rounding, Estimation, and Order 1.4 OBJECTIVES 1. Round a whole number at any place value 2. Estimate sums and differences by rounding 3. Estimate distance 4. Use the symbols and It is a common practice
More informationMarch Madness Basketball Tournament
March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: -Print out all the worksheets. -Introduce
More informationDECIMALS. Chapter INTRODUCTION
hut6929_ch04_a.qxd 2/8/04 2:47 PM Page 279 Chapter DECIMALS 4 INTRODUCTION When you look into the cockpit of a plane, you have to be impressed with the number of gauges that face the pilot. It is remarkable
More informationROUND TOSSUP: What is twenty-five percent of sixty? (15) (10 pts)
ROUND 1 1. TOSSUP: Giving your answer in the correct unit, what is the area of a rectangle whose length is 7 inches and whose width is 4 inches? (28 square inches) (10 pts) FOLLOWUP: Abe walked halfway
More informationGeorgia Online Formative Assessment Resource (GOFAR) 5th grade Unit 2
5th grade Unit 2 Name: Date: Copyright 2014 by Georgia Department of Education. Items shall not be used in a third party system or displayed publicly. Page: (1 of 14 ) 1. Jessica has a patio that is feet
More informationSIXTH GRADE MATHEMATICS CHAPTER 1B OPERATIONS WITH DECIMALS TOPICS COVERED:
SIXTH GRADE MATHEMATICS CHAPTER 1B OPERATIONS WITH DECIMALS TOPICS COVERED: Decimal Place Value Compare/Order Decimals Decimal Addition/Subtraction Decimal Multiplication Decimal Division Rounding Estimation
More informationRounding Up or Down? Name: Date:
ing Up or Down? Instructions: Use the rounding rule that you learned in the video to decide if the number on the number line should be rounded or to the nearest Circle the choice you make A-RND ing mathanticscom
More informationSchool District of South Orange and Maplewood
School District of South Orange and Maplewood Maplewood Middle School & South Orange Middle School 6 th Grade 2015 Honors Summer Assignment Math Packet Name School Summer Assignment Students Entering 6th
More informationMATH TIMESAVERS By: STEVAN KRAJNJAN THIS BOOK BELONGS TO:
THIS BOOK BELONGS TO: MATH TIMESAVERS By: STEVAN KRAJNJAN Stop searching for those difficult-to-find, often-used forms and reproducible sheets for your math program. Math Timesavers has them all (K-8).
More information4. For parts (a) (d), copy the number line below. Locate and label a point representing each fraction described.
A C E Applications Connections Extensions Applications Investigation. Describe, in writing or with pictures, how compares to.. Multiple Choice On a number line from 0 to 0, where is located? A. between
More informationMultiplying Decimal Numbers
LESSON 09 Multiplying Decimal Numbers Power Up facts mental math Power Up J a. Estimation: Choose the more reasonable estimate for the weight of a pencil: 8 grams or 8 kilograms. 8 grams b. Fractional
More informationPlace Value
Place Value Finding the of a decimal: Step 1: Find the in the decimal. The is what separates the whole numbers from the decimal numbers. The whole numbers are the digits to the left of the. The decimal
More informationUnit 7: Home Practice
Unit 7: Home Practice Part 1 Triangle Flash Cards: 2s and 3s Study for the quiz on the division facts for the last six facts. Take home your Triangle Flash Cards: 2s and 3s and your list of facts you need
More informationFifteen days of place value practice!
LACE ALUE writing numbers with digits, in word form, expanded form and base ten representation skip counting by 2 s, 5 s, 10 s and 100 s from varied points in the number line counting forward and backward
More informationMonday Tuesday Wednesday Thursday Friday
Monday Tuesday Wednesday Thursday Friday Aug. 21-25 First Day of School U1 L1 Count Aloud Through 500 U1 L2 Read Whole Numbers - 500 U1 L3 Write Numerals - 500 Aug. 28-Sept 1 U1 L4 Identify Place Value
More informationFiche outil anglais What s your name?
Fiche outil anglais What s your name? My name is Jane. My name s Jane. Who are you? I m your teacher. How old are you? I m five years old. How are you? I m fine. Where do you live? I live in London. What
More informationWriting Numbers
Writing Numbers http://www.grammarbook.com/numbers/numbers.asp 1. Spell out single-digit whole numbers. Use numerals for numbers greater than nine. Correct I want five copies. I want 10 copies. 2. Be consistent
More informationCuisenaire Rods. A Guide to Teaching Strategies, Activities, and Ideas
Cuisenaire Rods A Guide to Teaching Strategies, Activities, and Ideas INTRODUCTION This Learning About Cuisenaire Rods Activity Guide provides handson activities and ideas for leading students in an active
More informationBASIC / NOT BORING MATH SKILLS MORE! DECIMALS. Grades Inventive Exercises to Sharpen Skills and Raise Achievement
BASIC / NOT BORING MATH SKILLS MORE! DECIMALS Grades 6 8 + Inventive Exercises to Sharpen Skills and Raise Achievement Series Concept & Development by Imogene Forte & Marjorie Frank Exercises by Marjorie
More informationDownloaded from
Decimals 1 1.Which of the following is greater? 1.008 or 1.800 (A) 1.008 (B) 1.800 (C) Both are equal (D) None of them 2.64.2 in fraction form reduced to the lowest term would be. (A) (B) (C) (D)
More informationBLoCK 4 ~ FrACtIons And decimals
BLoCK 4 ~ FrACtIons And decimals decimals Lesson 21 place value with decimals ------------------------------------------- 109 Explore! Base-Ten Blocks Lesson 22 rounding decimals ---------------------------------------------------
More informationContents ... TEACHER GUIDE NCTM Content Standards Assessment Rubric... 6 How Is Our Resource Organized? The NCTM Principles & Standards...
Contents... TEACHER GUIDE NCTM Content Standards Assessment Rubric.. 6 How Is Our Resource Organized?. 11 The NCTM Principles & Standards 12 STUDENT HANDOUTS Number and Operations Drill Sheets Warm-Up
More information1. Tara needs cups of sugar to bake a cake. Create two equal fractions for?
1. Tara needs cups of sugar to bake a cake. Create two equal fractions for? 2. Six out of eighteen students in Ms. Walker s class earned points for making good decisions. In simplest form, what fraction
More informationMathematics Spiral Review Quarter 2.1 Grade 5
Mathematics Spiral Review Quarter 2.1 Basic Computation (5.NBT.7) Find the sum: 47.8 + 6.23 = Place Value (4.MBT.2) Compare the values using : a) 12 thousands 6 ten thousands b) 24 hundreds 3
More informationCourse 2 Unit 1 Practice
Course Unit 1 Practice Lesson 1-1 1. Estimate each sum or difference to the nearest unit. $8.56 1 $.35 $3.95. Find each sum or difference. 7.8 1 15.6 1 9.509 b. 0.37 1.083 b. 13.65.5 c. 8 0.057 d. 8.97
More information39 WAYS TO USE CUISENAIRE RODS VISIT OUR NEW WEBSITE
39 WAYS TO USE CUISENAIRE RODS VISIT OUR NEW WEBSITE WWW.KCS4EDUCATION.CO.UK FREE NEXT DAY DELIVERY BEST VALUE FOR MONEY DEDICATED CUSTOMER SERVICE Your trusted partner CALL: 0808 281 9440 ONLINE: www.kcs4education.co.uk
More information2'4'2'4'4'4'2'4. Name. 415 f t. 7 + = Write O.G55 in expanded form. 1. Find the area of the rectangle. Shade the area on the grid that shows 2173"=
Name Shade the area on the grid that shows 6 x 0' Find the area of the rectangle. 45 f t. Write O.G55 in expanded form. 73"= 5.385 + 5.45 = How many times greater is the value of the digit 3 in 43.GGG
More informationChapter 9 Review/Test
Name Chapter 9 Review/Test Personal Math Trainer Online Assessment and Intervention 1. Select a number shown by the model. Mark all that apply. 14 40 1.4 1 4 14 4.1 2. Rick has one dollar and twenty-seven
More informationS P R I N G B O A R D 5 S P R I N G B O A R D PART 3 UNIT 5 DECIMALS
P R G B O A R D P R G B O A R D G B O A R D P R PAR 3 P R G B O A R D P R G B O A R D NI DCIAL NI NN pringboard PAR 3 NI LAD LON nit LAD LON OAL I 0 OBJCIV se decimal notation for tenths and hundredths
More informationSum Fun Tournament Meeting (Multiple Topics)
Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below
More informationEquivalent forms: fractions, decimals, and percents Block 1 Student Activity Sheet
Block 1 Student Activity Sheet 1. List two real-life examples of fractions. 2. List two real-life examples of decimals. 3. List two real-life examples of percents. 4. Consider the table below showing Courtney
More informationNCERT solution Decimals-2
NCERT solution Decimals-2 1 Exercise 8.2 Question 1 Complete the table with the help of these boxes and use decimals to write the number. (a) (b) (c) Ones Tenths Hundredths Number (a) - - - - (b) - - -
More informationChapter 0 Pretest = 4
Determine whether you need an estimate or an exact answer. Then solve. 1. SHOPPING Addison paid $1.29 for gum and $0.89 for a package of notebook paper. She gave the cashier a $5 bill. If the tax was $0.14,
More informationof 6. Module 5 Ratios, Rates, & Proportions Section 5.1: Ratios and Rates MAT001 MODULE 5 RATIOS, RATES, & PROPORTIONS.
Module 5 Ratios, Rates, & Proportions Section 5.1: Ratios and Rates A ratio is the comparison of two quantities that have the same units. 18 6 We can express this ratio three different ways: 18 to 6 18:6
More informationReteach. Teacher Edition. Chapter 11. Grade 4
Reteach Teacher Edition Chapter 11 Grade 4 Lesson 1 Reteach Customary Units of Length The table below shows the different customary units of length and the tools used to measure each unit. Customary Units
More informationApplying Rational Number Operations
? LESSON 3.6 Applying Rational Number Operations ESSENTIAL QUESTION 7.EE.3 Solve problems with positive and negative rational numbers in any form using tools strategically. (For the full text of the standard,
More informationMonday Tuesday Wednesday Thursday
Name: Weekly Math Homework - Q1:1 Teacher: Monday Tuesday Wednesday Thursday Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of
More informationmentoringminds.com MATH LEVEL 4 Student Edition Sample Page Unit 8 Introduction County Fair Visitors New York City Expenses
Student Edition Sample Page Name 1. Spencer plays video games. He scored 5443 points on Tuesday and 7301 points on Wednesday. He rounds his scores to the nearest thousand. What expression can Spencer use
More informationDOWNLOAD OR READ : TWO HUNDRED AND NINE DAYS PDF EBOOK EPUB MOBI
DOWNLOAD OR READ : TWO HUNDRED AND NINE DAYS PDF EBOOK EPUB MOBI Page 1 Page 2 two hundred and nine days two hundred and nine pdf two hundred and nine days Converting Numbers To Words And Words To Numbers.
More informationSTRATEGIES ACHIEVE MATHEMATICS SUCCESS
STAMS SERIES D STRATEGIES TO ACHIEVE MATHEMATICS SUCCESS PROVIDES INSTRUCTIONAL ACTIVITIES FOR 12 MATHEMATICS STRATEGIES USES A STEP-BY-STEP APPROACH TO ACHIEVE MATHEMATICS SUCCESS PREPARES STUDENTS FOR
More informationLesson 20: Estimating a Population Proportion
Student Outcome Students use data from a random sample to estimate a population proportion. Lesson tes In this lesson, students continue to work with random samples and the distribution of the sample proportions.
More information3-1 Fractions and Decimals
1. Write each fraction as a decimal. Use a bar to show a repeating decimal. So, = 0.6. 2. So, = 0.3125. 3. So, = 0.15. 4. So, = 0.625. 5. So, =. esolutions Manual - Powered by Cognero Page 1 6. So, =.
More informationUSE INEQUALITY NOTATION TO SPECIFY SIMPLE ERROR INTERVALS DUE TO TRUNCATION OR ROUNDING (foundation and higher tier)
N15 USE INEQUALITY NOTATION TO SPECIFY SIMPLE ERROR INTERVALS DUE TO TRUNCATION OR ROUNDING (foundation and higher tier) You should be able to find least and greatest value of a number that has been rounded
More informationBUSINESS MATHEMATICS
INSTRUCTOR S SOLUTIONS MANUAL to accompany BUSINESS MATHEMATICS TWELTH EDITION Gary Clendenen Stanley A. Salzman Charles D. Miller Prepared by Deana J. Richmond Dean R. Richmond Prentice Hall Boston Columbus
More information6th Grade. Ratios, Proportions & Percents.
1 6th Grade Ratios, Proportions & Percents 2015 11 16 www.njctl.org 2 Table of Contents Writing Ratios Equivalent Ratios Rates & Unit Rates Using Ratios to Convert Measurements Converting Unit Ratios Percents
More informationROUND TOSS-UP: What is the square root of one million? (1000) (10 points) BONUS: How many zeros are at the end of ?
ROUND 1 1. TOSS-UP: What is 24% of 50? (12) (10 points) BONUS: A clothing store is having a 60% off sale on its dresses. Brandi has a coupon that lets her take 20% off of the sale price. If she pays $24
More information2018 School Competition Sprint Round Problems 1 30
Name 08 School Competition Sprint Round Problems 0 0 4 5 6 7 8 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. 9 This section of the competition consists of 0 problems. You will have 40 minutes to complete
More informationMATH-4 CAT-KNAPP-place value Exam not valid for Paper Pencil Test Sessions
MATH-4 CAT-KNAPP-place value Exam not valid for Paper Pencil Test Sessions [Exam ID:2Y888W 1 How is 8,000,000 written in words? A Eight million B Eight hundred thousand C Eight thousand D Eighty thousand
More informationA B
Bicentennial Olympiad Qualifying Round PROBLEM ONE The figure at the right is a magic square with missing entries. When complete, the sum of the four entries in each column, each row, and each diagonal
More informationThe Bruins I.C.E. School
The Bruins I.C.E. School Lesson 1: Decimal Place Value Lesson 2: Measurement and Data Lesson 3: Coordinate Graphing Lesson 4: Adding and Subtracting Fractions Lesson 5: Order of Operations Worksheets Included:
More informationReviewing Place Value with Decimals
Reviewing Place Value with Decimals Home Link 3-1 1 Record two decimals that are equivalent to each decimal below. 111 a. 0.2 b. 0.13 c. 2.145 d. 7.06 2 Compare using , or =. a. 0.05 0.050 b. 0.05
More informationPractice Task: Trash Can Basketball
Fourth Grade Mathematics Unit 5 Practice Task: Trash Can Basketball STANDARDS FOR MATHEMATICAL CONTENT MCC4.NF.7 Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons
More information3-1 Add and Subtract Decimals. Find the sum SOLUTION: Line up the decimal points and add as with whole numbers.
Find the sum. 1. 7.2 + 9.5 Line up the decimal points and add as with whole numbers. 2. 1.34 + 2 Annex zeros so both number have the same number of decimal places. Line up the decimal points and add as
More informationName Date PD. Pythagorean Theorem
Name Date PD Pythagorean Theorem Vocabulary: Hypotenuse the side across from the right angle, it will be the longest side Legs are the sides adjacent to the right angle His theorem states: a b c In any
More information