Decimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.

Size: px
Start display at page:

Download "Decimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number."

Transcription

1 Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number In a whole number the decimal point is all the way to the right, even if it is not shown in a problem. =. The place values of the number 8.09 are shown below: ones tenths hundreds tens hundredths thousandths thousands 8.09 ten-thousandths In word problems you will be asked to translate numbers from English. The word Write the following numbers: Fifty-eight = 8 One-hundred twenty-five thousandths =. One hundred and twenty-five thousandths = 00.0 Eleven and three hundredths =.0 Six thousand forty and nine tenths = 6,040.9 MLC Page of

2 In the number , what digit is in the tenths place? 8 In the number , what digit is in the ones place? 9 In the number , what digit is in the tens place? In the number , what digit is in the thousandths place? 6 Exercise (answer key starts on page 9) ) In the number 78.9, what digit (number) is in the tenths place? ) In the number 78.9, what digit (number) is in the ones place? ) In the number 78.9, what digit (number) is in the tens place? 4) In the number , what digit is in the thousands place? ) In the number , what digit is in the thousandths place? 6) In the number , what digit is in the hundredths place? 7) In the number , what digit is in the tenths place? 8) In the number , what digit is in the ones place? 9) In the number , what digit is in the tens place? 0) In the number , what digit is in the hundreds place? Exercise Directions: translate the following numbers from English into decimal numbers. Twenty-nine. Eighty-one hundredths. Nine thousand thirty-four and seven tenths 4. One and four thousandths. One hundred and sixty-two thousandths 6. Forty-five hundredths 7. Four thousand three hundred twenty-one ten-thousandths 8. One hundred twenty and five tenths 9. Seventeen thousandths 0. One and seven tenths MLC Page of

3 Rounding Decimal Numbers When rounding decimal numbers, first look at the number place you are asked to round to. Then look at the digit (number) just to its right. If that digit is smaller than (0,,,, or 4), then do not round up. If the digit is or larger (, 6, 7, 8, 9), then round up. Round.69 to the nearest thousandth The place to round to is the answer Round to the nearest thousandth The digit is small. Do not round up. The place to round to is the answer Drop everything to the right The digit 6 is large. Round up. Round to the nearest tenth The place to round to is the answer The digit 9 is large. Round up. Drop everything to the right The place to round to Round to the nearest tenth is the answer Round to the nearest whole (ones) number The place to round to The digit 4 is small. Do not round up. Drop everything to the right The digit 9 is large. Round up. 00 is the answer Drop everything to the right MLC Page of

4 Exercise Directions: Round the following decimal numbers to the place indicated ). to thousandths ).009 to thousandths ).096 to thousandths 4).4 to thousandths ) to thousandths 6) to thousandths 7) to thousandths 8). to hundredths 9).009 to hundredths 0). to hundredths ).67 to hundredths ) to hundredths ) to tenths 4).666 to tenths ). to tenths 6) to tenths 7). to whole (ones) number 8).99 to whole (ones) number 9) 499 to the nearest hundred 0) 999 to the nearest thousand MLC Page 4 of

5 Decimal/Fraction Conversion Changing fractions and mixed numbers to decimal numbers simply by dividing the denominator (bottom number) into the numerator (top number) The whole number in front of the fraction will also be in front of the decimal. 9 Rounded to the nearest thousandth or Use repeating dash over the first. Changing decimal numbers into fractions and mixed numbers is as easy as saying the number as a fraction then writing it down. Remember to reduce and simplify MLC Page of

6 Exercise 4 Directions: Change the following fractions and mixed numbers to decimal numbers. Round answers to the nearest thousandth, if necessary. ) ) 9) ) 7 6) 0 0) ) 7) 6 7 ) 8 6 4) 6 8) 0 8 ) 6 Exercise Directions: Change the following decimal numbers to fractions or mixed numbers. Reduce answers, if possible. ). ).6 9).07 ). 6).6 0).87 ).8 7) 6. ) 4. 4).7 8). ) 7.7 MLC Page 6 of

7 Exercise 6 Directions: Fill in the chart below with equivalent fractions and decimal numbers. Reduce fraction answers, if possible. Round decimal answers to the nearest hundredth, if necessary. Fraction Decimal Fraction Decimal ) 6).00 4 ) 7) ) 8) ) 9) ) 0) 9. Arranging decimal numbers by size When comparing decimal numbers and arranging them in order it is usually easiest to line up the numbers vertically with the decimal points in a vertical decimal at the end. You may fill in blanks with zeroes to make the columns easier to line up. The same Which is larger.06 or.00899? added zeros is larger than 0; therefore,.06 is larger than is the answer MLC Page 7 of

8 Arrange from the smallest to the largest: The only clue here is that.8 does not have a whole number; therefore, it is the smallest In the tenths place.08 and.080 have zeroes; therefore, they are the next smallest numbers. Since.08 has a in the hundredths place, it is smaller. The two largest numbers are left over. Compare.80 and.00 by looking at hundredths place. Since.00 has a zero there, it is smaller and.80 is the largest of all the numbers. from smallest to largest, they are: Exercise 7 Directions: arrange these numbers from largest to smallest: ) ) ) ) ) MLC Page 8 of

9 Exercise 8 Directions: arrange these numbers from smallest to largest: ) ) ) ) ) Adding and Subtracting Decimal Numbers When adding and subtracting decimal numbers, line up the decimal point of all the numbers. If a number does not show a decimal point, place one to the right of the whole number. You may add zeroes to keep the columns lined up. Add.6 and 4.8 Add 47 and Add a zero Add zeroes Subtract 4.69 from The wording here can be confusing. Notice how means Add zeroes MLC Page 9 of

10 Exercise 9 Directions: add or subtract the following ) ) = ) = ) ) 46. = 6) = 7) = 8) = 9) = 0) ).0000 ) ) ) Subtract 6.8 from 4. ) Subtract 8.97 from 9 6) Add.00 to 87 7) Add 000 to.086 8) ) ) Subtract.00 from.0 MLC Page 0 of

11 Multiplying Decimal Numbers When multiplying decimal numbers, set up the problem like regular multiplication. When you get your answer, add up the total number of digits to the right of the decimals in both the numbers you are multiplying and place the decimal in your answer that many places from the right end three digits.0006 is the answer two digits five digits 6.0 is the answer When multiplying three numbers together, multiply any two to get an answer;; then multiply that answer by the third number is the answer two digits one digit three digits MLC Page of

12 Exercise 0 Directions: Multiply the following ).67. ) ) ).884 ) ) ) 8.4 8) ).4 0) ).00 ) 8.88 ).4 4) ) MLC Page of

13 Dividing Decimal Numbers Here are the three ways you will see division problems;; they all mean the same thing: When dividing decimal numbers, move the decimal point in the divisor into) the same number of places to the right as you moved it in the divisor Once you have placed the decimal point correctly in your quotient (answer), divide like you would in whole numbers. Rounded to hundredth MLC Page of

14 Exercise Directions: Divide. Round answers to hundredths, if necessary )..69 ) ) ).4 80 ) 4 6) ) ) ) 9.0 0) ) 0. ). 8 ) ) ) MLC Page 4 of

15 Word Problems using Decimal Numbers Definitions: Sum the answer from adding numbers Difference the answer from subtracting numbers Product the answer from multiplying numbers Quotient the answer from dividing numbers In solving word problems, try to understand the whole situation being described. Some numbers may not even be involved in answering the question. Sometimes you will have to do extra steps to get the numbers you need to solve the problem. If the annual rainfall for a town near Santa Fe was. inches in 960,. inches in 96, and. in 96, what was the total rainfall for the three years? inches is the answer? $04.96 is the answer If you have a car that used 9. gallons of gas to go 8 miles, how many miles per gallon (mpg) did the car get? (round your answer to the nearest tenth.) miles 8 miles mpg = ;; so divide 9. into 8 gallon 9. gallon mpg is the answer MLC Page of

16 You need to order three hinges for each of doors. Each hinge costs $.7. How much will the hinges cost? The total number of hinges is = 4 Multiply 4.7 =.7 $.7 is the answer Exercise ) During five days, you drive.4 miles, 4. miles, 0.4 miles, 8.7 miles, and 7. miles. How many miles did you drive during those five days? ) If you are given checks, one for $6.98, another for $7.7, and a third for $60, how much is the total of all checks? ) If a car gets 4. mpg on the highway, how many gallons of fuel will it use by traveling 40 highway miles? (round answer to tenths) 4) If you need to cut pieces of glass from a 4 feet length, how long should each piece be? ) If you purchase a TV and pay $40 down and $.60 a month for 8 months, what was the purchase price of the TV? 6) If the revenues from the extra ¼ % sales tax amounted to $48,6.47 in 98 and is to be divided equally among 7 different departments within the city of Albuquerque, how much will each department receive? (round to the nearest cent) 7) If the total precipitation (rainfall and snow) for the year at a mountain town is expected to be 7.9 inches and it has already rained 6.8 inches, how many more inches of precipitation are expected? MLC Page 6 of

17 Decimals Practice Test Change to decimals. (round to hundredths) ) ) ) 6 8 4) Change to fractions (reduce, if possible) ). 6).66 7).4 8) 4.87 Add 9) ) ) Subtract ) ) ) Subtract.97 from. Multiply ).8 x.78 6).6 x 74 7).0 x.67 x.9 Divide (round answers to hundredths) 8) ) ).7 MLC Page 7 of

18 ) Arrange from largest to smallest.808,.8,.809, ) Arrange from smallest to largest.6,.6,.06,.6,.66 ) Subtract four and three-tenths from eleven and eighty-one hundredths. 4) If you ran. miles on Monday,.9 miles on Wednesday, and 4.7 miles on Friday, how many miles did you run, total, for the three days? ) If you divided $6.6 evenly among five children, how much would each child get? 6) If you bought.6 gallons of gasoline at $.0 per gallon, how much did the gasoline cost? MLC Page 8 of

19 Answer Key Exercise Exercise Exercise ) 9 ) 9 ). ) 8 ).8 ).009 ) 7 ) ).00 4) 6 4).004 4). ) ) ) ) 0 6).4 6) ) 9 7).4 7).000 8) 4 8) 0. 8). 9) 7 9).07 9).0 0) 0).7 0). ).7 Exercise 4 Exercise ) ). ) 4 ) 8.0 ).86 ).67 4).88 ).7 6). 4).7 ) 4 ). ) 6) ) 4 4 7) ) 8) 6) 8 7).87 8) ).6 0).667 ).06 ) 6.6 7) ) 0 7 9) 00 0) 6 ) ) ) 00 0) 000 MLC Page 9 of

20 Exercise 6 Fraction Decimal Fraction Decimal ). 6) ).44 7) ). 4 8) ) ) ) ) Exercise 7 Exercise 8 Exercise 9 ) 6.,.6,.6,.06, 0.66 ) 7.8, 7.96, 8.04, 8., 8.7 ) 4. ) 40., 4., 4., 4.0,.40 ).00,.0,.00,.,. ) 6.96 ) ).0070,.007,.0067,.0068,.006 ) 9.909, 9.999, , 94, ).,,.,.09,.0 4) 6, 6., 6.8, 6.8, 6.8 4) 8.77 ).9,.,.09,.0, ).489,.48989,.4899,.48999,.49 ) ).07 7) 8).8 9) ) ) ).8766 ) 9.6 4) 7.4 ) 0.0 6) ) ) 69 9) ).009 MLC Page 0 of

21 Exercise 0 Exercise Exercise ).44 ). ) 76. miles ).886 ) 0 ) $4. ) ) 000 ) 8. gallons 4) ) 00 4).8 feet ).44 ).6 ) $ ).06 6).0 6) $ ).04 7) 7).08 inches 8).047 8). 9) 0. 9).0 0) 9.6 0). ) ).0 ) ) 8. ).4 ) ).00 4) 400 ).074 ).0 Practice Test ).4 ).84 ) $.7 ).7 4). 6) $. ).8 ) ). 6). ) 4 7).000 6) 0 8).70 7) 9).0 8) ).6 9).6 ).8,.808,.807,.809,.8 0) ).06,.6,.6,.6,.66 ).74 ) 7. ).9 4).9 miles MLC Page of

Part 1: Decimals. The decimal point separates the whole numbers from the fractional part of a

Part 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 information

Accuplacer Arithmetic Study Guide

Accuplacer 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 information

SECTION 1. READING AND WRITING NUMBERS PLACE VALUE

SECTION 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 information

Place Value

Place 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 information

Mathematics Spiral Review Quarter 1.1 Grade 5

Mathematics 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 information

NCERT solution Decimals-2

NCERT 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 information

UNDERSTANDING DECIMALS

UNDERSTANDING 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 information

REVIEW TEST Find the least common multiple (LCM) of the numbers 4, 18. A) 4 B) 2 C) 72 D) 1 E) 36

REVIEW 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 information

5th Grade Decimal Concepts

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 information

5th Grade. Slide 1 / 192. Slide 2 / 192. Slide 3 / 192. Decimal Concepts. Table of Contents

5th 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 information

Combining Unlike Integers

Combining 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 information

DECIMALS. Decimal Place Value and Rounding Decimals

DECIMALS. 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 information

Grade 6 Decimals. Answer the questions. For more such worksheets visit

Grade 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 information

Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.

Cumulative 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 information

Section 2C Formulas with Dividing Decimals

Section 2C Formulas with Dividing Decimals Section 2C Formulas with Dividing Decimals x Look at the following z-score formula again from Statistics. z. Suppose we want to calculate the z-score if x 17.6 pounds, 13.8 pounds, and 2.5 pounds. Not

More information

Gap Closing. Representing and Comparing Decimals. Junior / Intermediate Student Book

Gap 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 information

Study Guide: 5.1 Rounding Decimals

Study 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 information

MATH STUDENT BOOK. 7th Grade Unit 3

MATH 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 information

SIXTH GRADE MATHEMATICS CHAPTER 1B OPERATIONS WITH DECIMALS TOPICS COVERED:

SIXTH 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 information

Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.

Cumulative 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 information

DECIMALS. Chapter INTRODUCTION

DECIMALS. 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 information

CHAPTER 4: DECIMALS. Image from Microsoft Office Clip Art CHAPTER 4 CONTENTS

CHAPTER 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 information

Properties of Numbers

Properties 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 information

Writing Number Names Using Root Number Words. Write the number names. Highlight or underline any letters that recur.

Writing 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 information

Numbers up to 10,000

Numbers 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 information

Areas of Rectangles. Reteaching 31. Name. Practice:

Areas 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 information

N2-3 Rounding and Approximation

N2-3 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 information

Factor. Decimal Concepts. 3 Examples/ Counterexamples. What is a Decimal? Vocab Word. Slide 2 / 192. Slide 1 / 192. Slide 3 / 192.

Factor. Decimal Concepts. 3 Examples/ Counterexamples. What is a Decimal? Vocab Word. Slide 2 / 192. Slide 1 / 192. Slide 3 / 192. 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 www.njctl.org and is intended for the non-commercial

More information

1. 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? 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 information

Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1

Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1 Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1 Reteaching 1 Math Course 1, Lesson 1 To add money, line up the decimal points. Then add each column starting on

More information

5 th Grade Review Quizzes #1-5

5 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 information

Third Grade Pre/Post Test

Third 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 information

ul tive Review for Chapters 7 and 8 Concepts and Skills Write each fraction or mixed number as a decimal. (Lesson 7.1)

ul 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 information

of 6. Module 5 Ratios, Rates, & Proportions Section 5.1: Ratios and Rates MAT001 MODULE 5 RATIOS, RATES, & PROPORTIONS.

of 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 information

Unit 8: Home Practice

Unit 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 information

UNIT 7 PRACTICE PROBLEMS

UNIT 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 information

Module 1- Mid Module Review Part 1- Classwork

Module 1- Mid Module Review Part 1- Classwork Name Date Module 1- Mid Module Review Part 1- Classwork 1. Compare using >,

More information

Copyright 2015 Edmentum - All rights reserved.

Copyright 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 information

1.862 x x 10. The 'Estimation' Game. April 03, SB Multiplying and Dividing Decimals.notebook. MINDS ON (Elicit & Engage)

1.862 x x 10. The 'Estimation' Game. April 03, SB Multiplying and Dividing Decimals.notebook. MINDS ON (Elicit & Engage) http://www.youtube.com/watch?v=9rflkp7coaa rounding MINDS ON (Elicit & Engage) http://www.youtube.com/watch?v=0jb3bnflqem wake up Work with a shoulder partner to answer the following question. Be prepared

More information

Topic 1 Place Value. Name. Test Date

Topic 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 information

DOWNLOAD OR READ : TWO HUNDRED AND NINE DAYS PDF EBOOK EPUB MOBI

DOWNLOAD 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 information

Multiplying Decimal Numbers

Multiplying 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 information

Decimals and Volume. Topic 3. I. Converting Fractions to Decimals. A. Convert each fraction to a decimal

Decimals and Volume. Topic 3. I. Converting Fractions to Decimals. A. Convert each fraction to a decimal Name I. Converting Fractions to Decimals A. Convert each fraction to a decimal. 1. 41 50 2. 2 5 Date 3. 18 25 88 4. 100 5. 1 4 6. 13 20 B. Write each fraction as an equivalent fraction with a power of

More information

8. A. 5.62; 5 wholes, 6 tenths, and 2 hundredths B C. 6 D A.* two and three-hundredths. B.* and 2.03

8. 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 information

Content Design Structure, Scope & Sequence of Mathematics Content Addressed Within Numbers Up! Volcanic Panic

Content Design Structure, Scope & Sequence of Mathematics Content Addressed Within Numbers Up! Volcanic Panic 7-8 9-10 8-9 11-12 9 13-14 Division facts 2x, 5x, 10x Recognises division as repeated subtraction Recognises division as grouping Recognises division as sharing equally Recognises numbers that are divisible

More information

6th Grade Quarter One Assessment Guide

6th Grade Quarter One Assessment Guide th Grade Quarter One Assessment Guide Essential Questions Corresponding Questions & Point Value Can you divide multi-digit numbers? pts Whole Numbers and Decimals Can you add, subtract, multiply and divide

More information

DEFINING SIGNIFICANT FIGURES. Any measurement made is only as detailed and accurate as the tool used to make the measurement.

DEFINING 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 information

Rounding Up or Down? Name: Date:

Rounding 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 information

BASIC / NOT BORING MATH SKILLS MORE! DECIMALS. Grades Inventive Exercises to Sharpen Skills and Raise Achievement

BASIC / 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 information

Name Date. 5. In each pair, which rational number is greater? Explain how you know.

Name Date. 5. In each pair, which rational number is greater? Explain how you know. Master 3.18 Extra Practice 1 Lesson 3.1: What Is a Rational Number? 1. Which of the following numbers are equal to? 2. Write the rational number represented by each letter as a decimal. 3. Write the rational

More information

2. Write a decimal that is equivalent. 4. Which of the following is NOT equal to ½? a. 0.5

2. 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 information

To change from tonnes to kilograms, multiply by This means: tonnes = 225 kg [ = 225]

To change from tonnes to kilograms, multiply by This means: tonnes = 225 kg [ = 225] Q1. [1 tonne = 1000 kg] To change from tonnes to kilograms, multiply by 1000. This means: 0.225 tonnes = 225 kg [0.225 1000 = 225] Difference between 0.225 tonnes and 128 kg means the same as: Difference

More information

MAT 115 Basic Mathematics Week #4 Checkpoint Chapter 4

MAT 115 Basic Mathematics Week #4 Checkpoint Chapter 4 Name: Section 4.1 pp. 287-291, # 2, 4, 24, 34, 72 Problems (Enter your work and answer in this column) 2. For the decimal 8.57932: What is the place value of 5? Tenths 4. For the decimal 8.57932: What

More information

3-1 Fractions and Decimals

3-1 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 information

Greenwood International School. Grade 4

Greenwood 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 information

a fraction rock star in no time! This is a free calculator for adding, subtracting, multiplying, and dividing two fractions and/or mixed numbers.

a fraction rock star in no time! This is a free calculator for adding, subtracting, multiplying, and dividing two fractions and/or mixed numbers. Fraction calculator The longest markings will be the quarter inch markings, ie. the first marking is 1/4 inch, the second is 1/2 (2/4) inch, the third is 3/4 inch. Calculate 3/4 by long division of 3 divided

More information

STRATEGIES ACHIEVE MATHEMATICS SUCCESS

STRATEGIES 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 information

March Madness Basketball Tournament

March 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 information

1) The top term in a fraction is called the numerator. 1)

1) The top term in a fraction is called the numerator. 1) TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. 1) The top term in a fraction is called the numerator. 1) 2) The bottom term in a fraction is the divisor or the number

More information

How do you write one million five hundred thousand dollars in numbers

How 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 information

Part 1 No Calculator

Part 1 No Calculator Part 1 No Calculator 1. Which of the following has a value equal to 32 divided by 10? 4. Look at the problem below. Which expression can be used to check the answer? 914 r 2 6 5486 2 914 2 6 914 2 6 914

More information

March Madness Basketball Tournament

March 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 information

BUSINESS MATHEMATICS

BUSINESS 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 information

Introduction to Measurement Developing Standard and Metric Measuring Skills

Introduction to Measurement Developing Standard and Metric Measuring Skills Introduction to Measurement Developing Standard and Metric Measuring Skills Design and Modeling 2011 Project Lead The Way, Inc. Why Learn to Measure? Valuable skill for a job Valuable skill for hobbies

More information

MATH-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 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 information

Lesson 1: Decimal Place Value. Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths.

Lesson 1: Decimal Place Value. Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths. Math Lesson 1: Decimal Place Value Concept/Topic to Teach: Students use Bruins statistical data to order and compare decimals to the thousandths. Standards Addressed: Standard 1: 5.NBT.3 Read, write, and

More information

4th Grade Quarter Two Assessment Guide

4th Grade Quarter Two Assessment Guide th Grade Quarter Two Assessment Guide Divide by -digit Numbers Essential Questions How can you find whole number quotients and remainders with up to four-digit dividends and one-digit divisors? How can

More information

H on using estimation

H on using estimation H on using estimation To the Student In FOCUS on Using Estimation, Book H, you will read problems and answer questions. You will practice using a math strategy called Using Estimation. You will learn about

More information

Study Guide Grade 5 Unit 1, Test 2 of 2

Study 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 information

Activity Standard and Metric Measuring

Activity Standard and Metric Measuring Activity 1.3.2 Standard and Metric Measuring Introduction Measurements are seen and used every day. You have probably worked with measurements at home and at school. Measurements can be seen in the form

More information

7.7 Converting Customary Units

7.7 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 information

The Bruins I.C.E. School

The 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 information

Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in He swam 3,000 yards in 30 minutes.

Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in He swam 3,000 yards in 30 minutes. Rate Conversions Lesson 1.5 Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in 2006. He swam 3,000 yards in 30 minutes. 30 3000 yards Jeremy found his rate of speed in yards per minute.

More information

A percent is a ratio that compares a number to 100. It represents part of a whole. Model 54% on the 10-by-10 grid. Then write the percent as a ratio.

A percent is a ratio that compares a number to 100. It represents part of a whole. Model 54% on the 10-by-10 grid. Then write the percent as a ratio. Lesson 5.1 Reteach Model Percents A percent is a ratio that compares a number to. It represents part a whole. Model 54% on the 10-by-10 grid. Then write the percent as a ratio. Step 1 The grid represents

More information

Contents ... 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? 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 information

here she is viewers she s got positivity plus, it s Saaaally Newsworth!

here she is viewers she s got positivity plus, it s Saaaally Newsworth! Percent Equation (is/of = %/100) MA6871 Activity Introduction Welcome to Math News Now! Where we speak the language of numbers. Today s top story, solving percent problems. (pause) And bringing you news

More information

Number & 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. 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 information

Topic 3 Place Value. Exam Intervention Booklet

Topic 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 information

Grade 5: Number Sense - Fractions & Decimals

Grade 5: Number Sense - Fractions & Decimals Grade 5: Number Sense - Fractions & Decimals Unit 8, Lessons 1-12, Pages 256-298 The star highlights important ideas. The globe links to the web. Click these figures to show the answer. Links to an activity

More information

Applying Rational Number Operations

Applying 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 information

Mathematics 7 WORKBOOK

Mathematics 7 WORKBOOK EXAM FEVER Mathematics 7 WORKBOOK This book belongs to: Exam Fever Publishers PIETERMARITZBURG www.examfever.co.za Table of Contents TERM 1 Chapter and Topic Page 1. Whole Numbers 1 2. Exponents 15 3.

More information

mentoringminds.com MATH LEVEL 5 Student Edition Sample Page Unit 7 Introduction Name

mentoringminds.com MATH LEVEL 5 Student Edition Sample Page Unit 7 Introduction Name Student Edition Sample Page Name 1. Place a dot on the approximate location of 12.369 on the number line. Introduction 4. Jeremiah rounded a number to 8.7. What could the original number have been? 12.3

More information

AG85. and five cents. Which names this money amount in terms of dollars? Mark all that apply. is equivalent to. True False

AG85. and five cents. Which names this money amount in terms of dollars? Mark all that apply. is equivalent to. True False Page 1 1. Select a number shown by the model. Mark all that apply. 6.1 16 1.6 60 16 1 6 2. Ryan sold a jigsaw puzzle at a yard sale for three dollars and five cents. Which names this money amount in terms

More information

School District of South Orange and Maplewood

School 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 information

Rising 6 th Grade Summer Math Packet. WEEK 1 Memorize multiplication facts 0 10! 4. Which of the fractions shown below has the same value as 0.7?

Rising 6 th Grade Summer Math Packet. WEEK 1 Memorize multiplication facts 0 10! 4. Which of the fractions shown below has the same value as 0.7? WEEK 1 Memorize multiplication facts 0 10! 1. Round 2,321.4762 to the nearest hundredth. 2,321.47 2,321.48 2,321.476 2,321.477 4. Which of the fractions shown below has the same value as 0.7? 2. Which

More information

The area of San Diego is eight hundred and forty two thousand, two hundred and thirty three square kilometers. Cardinal Numbers. 51 One.

The 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 information

month. Altogether she drove 2,376 miles. How far is it from Chicago to St. Louis?

month. Altogether she drove 2,376 miles. How far is it from Chicago to St. Louis? 5-1 Homework Name Date Complete each division. Check your answer. 1 5 4,820 2 8 7,548 3 9 7,535 4 3 2,958 5 7 5,857 6 6 5,556 7 7 6,945 8 8 5,624 9 4 3,254 Use estimation to check the solution. 10 Mrs.

More information

Operations with Fractions. reciprocals (recíprocos) ESSENTIAL QUESTION. How can you use operations with fractions to solve real-world problems?

Operations with Fractions. reciprocals (recíprocos) ESSENTIAL QUESTION. How can you use operations with fractions to solve real-world problems? UNIT Study Guide MODULE MODULE? Review Operations with Fractions Key Vocabulary reciprocals (recíprocos) ESSENTIAL QUESTION How can you use operations with fractions to solve real-world problems? EXAMPLE

More information

Downloaded from

Downloaded 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 information

Chapter 9 Review/Test

Chapter 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 information

Choose the expression(s) that is (are) equivalent to the given rational number. 20 A. B. C..5 A..67 B..6 C. 30 D. E. 1 4 D. 4 E.

Choose the expression(s) that is (are) equivalent to the given rational number. 20 A. B. C..5 A..67 B..6 C. 30 D. E. 1 4 D. 4 E. . EXERCISES Choose the expression(s) that is (are) equivalent to the given rational number... 0 A. B. C.. A.. B.. C. 0 D..0 E.. D.. E.... A.. B.. C.. A.. B.. C. 00 0 D. E. D. E. 00 Use the fundamental

More information

Performance Task # 1

Performance Task # 1 Performance Task # 1 Goal: Arrange integers in order. Role: You are a analyzing a Julie Brown Anderson s dive. Audience: Reader of article. Situation: You are interviewing for a job at a sports magazine.

More information

Operations on Radical Expressions; Rationalization of Denominators

Operations on Radical Expressions; Rationalization of Denominators 0 RD. 1 2 2 2 2 2 2 2 Operations on Radical Expressions; Rationalization of Denominators Unlike operations on fractions or decimals, sums and differences of many radicals cannot be simplified. For instance,

More information

Simplifying Radical Expressions and the Distance Formula

Simplifying Radical Expressions and the Distance Formula 1 RD. Simplifying Radical Expressions and the Distance Formula In the previous section, we simplified some radical expressions by replacing radical signs with rational exponents, applying the rules of

More information

2018 School Competition Sprint Round Problems 1 30

2018 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 information

3. A shirt is priced at $32.00 now. If the shirt goes on sale for 30% off the current price, what will be the sale price of the shirt?

3. A shirt is priced at $32.00 now. If the shirt goes on sale for 30% off the current price, what will be the sale price of the shirt? 1 Math 1 - Proportions & Probability Part 2 PERCENT INCREASE AND DECREASE To increase a number by a percent, add the percent to 100%, convert to a decimal, and multiply. To increase 40 by 25%, add 25%

More information

Round to the nearest hundred. 92,

Round to the nearest hundred. 92, 1 1. 3 ) 480 2. 255-123 = 3. 21 x 8 = 4. 164 5. Round to the nearest hundred. 92,651 + 346 6. 361 7. Sue had 2 rolls of film developed, each had 36 exposures. x 9 How many pictures did she have developed?

More information

FRA SUMMER MATH 2017 Math Course 3

FRA SUMMER MATH 2017 Math Course 3 FRA SUMMER MATH 2017 Math Course 3 The following can be found within this file on the specific pages listed: Content Math Course 3 Teacher Letter and Summer Math Directions Pages 2 Math Course 3 Overview

More information

Sum Fun Tournament Meeting (Multiple Topics)

Sum 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 information

Name. Procedures for adding feet and inches

Name. Procedures for adding feet and inches Name # Procedures for adding feet and inches. Line up columns 2. Find lowest common denominator of fractional parts if necessary. Add fractional parts first, then move to the left, adding each column as

More information