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 if it is not shown in a problem. 25 = 25. The place values of the number 1328.1095 are shown below: ones tenths hundreds tens hundredths thousandths thousands 1328.1095 ten - thousandths In word problems you will be asked to translate numbers from English. The word and is where the decimal point will go. Write the following numbers: Fifty-eight = 58 One-hundred twenty-five thousandths =.125 One hundred and twenty-five thousandths = 100.025 Eleven and three hundredths = 11.03 Six thousand forty and nine tenths = 6,040.9 Revised @2009 MLC Page 21
In the number 2039.876, what digit is in the tenths place? 8 In the number 2039.876, what digit is in the ones place? 9 In the number 2039.876, what digit is in the tens place? 3 In the number 2039.876, what digit is in the thousandths place? 6 Exercise 1 1) In the number 78.9, what digit (number) is in the tenths place? 2) In the number 78.9, what digit (number) is in the ones place? 3) In the number 78.9, what digit (number) is in the tens place? 4) In the number 6174.903, what digit is in the thousands place? 5) In the number 6174.903, what digit is in the thousandths place? 6) In the number 6174.903, what digit is in the hundredths place? 7) In the number 6174.903, what digit is in the tenths place? 8) In the number 6174.903, what digit is in the ones place? 9) In the number 6174.903, what digit is in the tens place? 10) In the number 6174.903, what digit is in the hundreds place? Exercise 2 Directions: translate the following numbers from English into decimal numbers 11) Twenty-nine 12) Eighty-one hundredths 13) Nine thousand thirty-four and seven tenths 14) One and four thousandths 15) One hundred and sixty-two thousandths 16) Forty-five hundredths 17) One hundred twenty and five tenths 18) Seventeen thousandths 19) One and seven tenths
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 5 (0, 1, 2, 3, or 4), then do not round up. If the digit is 5 or larger (5, 6, 7, 8, 9), then round up. Round 5.6932 to the nearest The place to round to thousandth 5.6932 5.693 is the answer The digit 2 is small. Do not round up. Round 28.05267 to the nearest thousandth The place to round to 28.05267 28.053 is the answer Dr op everything to the right The digit 6 is large. Round up. The place to round to Round.09999 to the nearest tenth.09999 The digit 9 is large. Round up..1 is the answer Drop everything to the right Round.04999 to the nearest tenth The place to round to The digit 4 is small. Do not round up..04999 Drop everything to the right.0 is the answer
Exercise 3 Directions: Round the following decimal numbers to the place indicated 21).1325 to thousandths 22).0091 to thousandths 23).0196 to thousandths 24) 5.1234 to thousandths 25) 6.6666 to thousandths 26) 40.61884 to thousandths 27) 1.99999 to thousandths 28).0091 to hundredths 29) 5.567 to hundredths 30) 48.001 to hundredths 31) 7.987 to tenths 32).666 to tenths 33) 99.99 to tenths 34).5 to whole (ones) number 35) 11.99 to whole (ones) number
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 line. If a number doesn t have a decimal point, place the decimal at the end. You may fill in blanks with zeroes to make the columns easier to line up. Arrange from the smallest to the largest: 3.18 3.1 3.08.38 3.018 from smallest to largest, they are: 3.018 3.08 3.1 3.18 3.8 Exercise 4 Directions: arrange these numbers from largest to smallest: 36) 2.62 2.061 2.612 0.66 6.21 37) 14.01 140.1 1.401 14.1 14.11 38).0067.007.00618.00701.006 39).1.01 1 1.1.019 40) 5.1 5 5.01 5.09 5.91 Exercise 5 Directions: arrange these numbers from smallest to largest: 41) 7.8 8.7 8.2 7.96 8.014 42) 0.15.01.1.0101.001 43) 94 93.999 93.909 93.99901 94.0001 44) 16.83 16.38 16.3 16.8 16 45) 3.49 3.489 3.4899 3.48999 3.48989
Exercise 6 1) During five days, you drive 15.4 miles, 24.2 miles, 10.4 miles, 18.7 miles, and 7.5 miles. How many miles did you drive during those five days? 2) If you are given 3 checks, one for $36.98, another for $17.27, and a third for $260, how much is the total of all 3 checks? 3) If a car gets 42.1 mpg on the highway, how many gallons of fuel will it use by traveling 340 highway miles? (round answer to tenths) 4) If you need to cut 5 pieces of glass from a 14 feet length, how long should each piece be? 5) If you purchase a TV and pay $40 down and $32.60 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 $48,136.47 in 1983 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 37.9 inches and it has already rained 26.82 inches, how many more inches of precipitation are expected?
Part 2: Algebra Review 1) Plot the data using a scatter plot then decide if the data is linear, exponential, quadratic, or absolute value. a. (-3, 4) (-2, 3.5) (-1, 3) (0, 2.5) (1, 2) (2, 1.5) (3, 1) b. (-3, 4) (-2, 3) (-1, 2) (0, 1) (1, 2) (2, 3) (3, 4) c. (-3, 4) (-2, 2) (-1, 1) (0, ½ ) (1, ¼ ) (2, 1/8 ) (3, 1/16 ) d. (-3, 4) (-2, 7/3) (-1, 4/3) (0, 1) (1, 4/3) (2, 7/3) (3, 4) 2) There are 25 students in your English class. To determine the speaking order for presenting oral reports, slips of paper numbered from 1 to 25 are place in a box. Each student draws a number to determine his or her speaking order. a. What is the probability that the number you draw will be odd? b. What is the probability that the number you draw will be even? c. Five oral reports will be given on each day. What is the probability that you will have to give your report on the first day? d. What is the probability that you will be the last person to give your report? 3) Solve the following (One of the most important Algebra skills for this course): a. 4 = 2 6 8 x b. 0.02 = 1.96 0.5 0.5 x c. 0.03 = 1.645 0.3 0.7 x d. 0.13 = 2.33 0.2 0.8 x e. 0.07 = 2.555 0.28 0.72 x (Ans is 12: Divide, Square both sides, cross multiply)
CENTRAL TENDENCY
PLOTS OF DATA
COMBINATIONS AND PERMUTATIONS
Go to bit.ly/drarbini Click APStat Click Link for the online book: Book Read Chapter 1 Read Chapter 2 and complete Exercises 1-21 Odd