Decimals and Fractions

Transcription

1 MB Worksheets Frac-DecFinal.qxd 1/7/2008 2:05 PM Page 1 h t a M ers Bust Math Busters Reproducible Worksheets Reproducible Worksheets for: Decimals and Fractions These worksheets are reproducible for educational use only and are not for resale Enslow Publishers, Inc.

2 MB Worksheets Frac-DecFinal.qxd 1/7/2008 2:05 PM Page 2 Math Busters Reproducible Worksheets Reproducible Worksheets for: Decimals and Fractions These worksheets practice math concepts explained in Decimals and Fractions (ISBN: ), written by Rebecca Wingard-Nelson. Math Busters Ratios and Percents reproducible worksheets are designed to help teachers, parents, and tutors use the books from the Math Busters series in the classroom and the home. The answers to the problems are contained in the Answers section starting on page 59. Teachers, librarians, tutors, and parents are granted permission and encouraged to make photocopies of these worksheets. These worksheets are reproducible for educational use only and are not for resale Enslow Publishers, Inc. Visit and search for the Math Busters series to download worksheets for the following titles: Algebra and Pre-Algebra Figuring Out Geometry Decimals and Fractions Ratios and Percents Division and Multiplication Subtraction and Addition Titles in this series can be purchased directly from: Enslow Publishers, Inc. 40 Industrial Road, Box 398 Berkeley Heights, NJ Phone: customerservice@enslow.com Web Page: 2

3 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 3 Understanding Fractions a. What is the top number in a fraction called? b. What is the bottom number in a fraction called? c. In the fraction 3 8, what number is the denominator? d. In the fraction 5 8, what number is the numerator? e. Circle the proper fractions f. Why is 8 3 an improper fraction? g. There are five CDs in a stack. Two of the CDs are of classical music. Write a fraction to represent what part of the CDs are classical music. h. A pie is cut in eight slices. Three slices of pie are eaten. Write a fraction to represent how much of the pie is eaten. 3

4 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 4 Understanding Fractions a. In the fraction 2/3, what number is the numerator? b. In the fraction 5/7, what number is the denominator? c. What is the name for a fraction whose numerator is less than its denominator? d. What is the name for a fraction whose numerator is equal to or greater than its denominator? e. In a bag of colored candy there were 5 red candies, 3 blue candies, 6 green candies, and 7 yellow candies. How many total candies were in the bag? What fraction of the candies were green? f. Write a fraction to describe what part of the rectangle is shaded. g. Write a fraction to describe what part of the rectangle is NOT shaded. 4

5 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 5 Mixed Fractions Classify each of the following as a proper fraction, an improper fraction, or a mixed fraction. a. 2 b. 6 c. 5 d e. 12 f. 3 g. 1 h i. Write a mixed fraction to show what part of the rectangles is shaded. j. Write an improper fraction to show what part of the rectangles is shaded. k. Write 14 5 as a mixed fraction. l. Write as an improper fraction. 5

6 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 6 Mixed Fractions Rename each improper fraction as a mixed fraction. a. 5 2 = b = c. 9 7 = d. 7 3 = e. 3 2 = f. 6 5 = g = h = i = j = k = l = Rename each mixed fraction as an improper fraction. m = n = o = p = q = r = s = t = u = v = w = x = 6

7 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 7 Equivalent Fractions Write an equivalent fraction for each given fraction. Example: 2 2 = 2 x 2 = x 2 6 a. 1 b. 2 c d. 9 e. 3 f g. 1 h. 2 i List all of the factors of each of the following. Example: 12 1, 2, 3, 4, 6, 12 j. 15 k. 19 l. 20 m. 36 n. 100 o. 24 7

8 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 8 Equivalent Fractions a. List the factors of 12. b. List the factors of 18. c. List the common factors of 12 and 18. d. What is the greatest common factor of 12 and 18? e. List the factors of 20. f. List the factors of 32. g. List the common factors of 20 and 32. h. What is the greatest common factor of 20 and 32? Reduce each fraction to lowest terms. i. 5 j. 16 k l. 24 m. 3 n o. 8 p. 50 q

9 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 9 Comparing Fractions Use > and < to compare each set of fractions. < a. 1 2 b. 1 3 c d. 5 3 e. 7 2 f g. 4 1 h i j. Why are 2 5 and 3 5 called like fractions? k. A black beetle is 5 8 of an inch long. A red beetle is 3 8 long. Which beetle is longer? of an inch l. Jill drank of a gallon of water. John drank 10 water. Who drank more water? of a gallon of 9

10 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 10 Comparing Fractions Find the least common multiple for each pair of numbers. a. 3 and 9 b. 8 and 10 c. 6 and 7 Use the least common multiple of the denominators to write each pair of fractions as like fractions. Example: 1 3 The least common 1 x 4 = 4 3 x 3 = multiple of 3 and 4 is x x 3 12 d. 4 2 e. 3 3 f Use >, <, and = to compare each set of fractions. g. 3 5 h. 5 7 i j. 5 7 k l

11 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 11 Adding Like Fractions Add the following fractions. Reduce your answer to lowest terms. Example: Step 1: Add the Step 2: Keep the same Step 3: Reduce. numerators. denominator = = = = = 1 3 a = b = c = d = e = f = g = h = i = Write a fraction equation for this problem and solve it. Write the answer in a complete sentence. j. In a fish tank, 7 20 of the fish are gold. Another 20 8 are silver. What fraction of the fish are either gold or silver? 11

12 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 12 Adding Like Fractions Add. Reduce your answer to lowest terms. Example: Add Step 1: Add the fractions = 2 3 Step 2: Add the whole numbers = 5 Step 3: Combine the sums = a = b = c = d = e = f = g = h = i = Write a mixed fraction equation for this problem and solve it. Write the answer in a complete sentence. k. Macgregor used CDs to back up the music from his computer. He used another CDs to back up his pictures. How many CDs did he use in all? 12

13 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 13 Adding Unlike Fractions Add the following fractions. Reduce your answer to lowest terms. Example: Add Step 1: Give the fractions a common denominator. 1 2 = = 2 4 Step 2: Add the numerators. Keep the same denominator = = 3 4 a = b = c = d = e = f = g = h = i = Write a fraction equation for this problem and solve it. Write the answer in a complete sentence. j. Lorna is driving from Maine to Oregon. The first day, she drove 2 5 of the total distance. The second day, she drove another 1 3 of the total distance. What fraction of the total distance was driven in the first two days? 13

14 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 14 Adding Unlike Fractions Example: Add Step 1: Change to like fractions = Step 2: Add = or 52 3 a = b = c = d = e = f = g = h = Write a mixed fraction equation for this problem and solve it. Write the answer in a complete sentence. i. Emil bought pounds of frozen strawberries at the grocery store. On his way home, he bought 4 3 pounds of fresh 4 strawberries at a fruit stand. In all, how many pounds of strawberries did Emil buy? 14

15 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 15 Subtracting Like Fractions Subtract. Reduce your answer to lowest terms. Example: Subtract Step 1: Subtract the numerators. Step 2: Keep the same denominator = 2 1 = = 1 3 a = b = c = d = e = f = g = h = i = Write a fraction equation for this problem and solve it. Write the answer in a complete sentence. j. There was 8 7 of a pound of almonds in a bag. After Kim put some in a salad, there was 5 of a pound left in the bag. 8 What fraction of a pound of almonds did Kim put in the salad? 15

16 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 16 Subtracting Like Fractions Subtract. Reduce your answer to lowest terms. Example: Subtract Step 1: Step 2: Step 3: Regroup if needed. Subtract fractions. Subtract whole numbers = = = a = b = c = d = e = f = g h i

17 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 17 Subtracting Unlike Fractions Subtract. Reduce your answer to lowest terms. Example: Subtract Step 1: Give the fractions a common denominator. 1 2 = = 2 4 Step 2: Subtract the numerators. Keep the same denominator = = 1 4 a = b = c = d = e = f = g = h = i = Write a fraction equation for this problem and solve it. Write the answer in a complete sentence. j. Robin spent 3 of an hour doing math homework. Juanita spent 5 1 of an hour doing math homework. How much longer did 3 Robin spend doing math homework? 17

18 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 18 Subtracting Unlike Fractions Subtract. Reduce your answer to lowest terms. Example: Subtract Step 1: Change to like fractions = Step 2: Subtract = a = b = c = d = e = f = Write a mixed fraction equation for this problem and solve it. Write the answer in a complete sentence. g. Phillipe ran a mile in minutes. Joe ran a mile in minutes. How much faster did Phillipe run the mile? 18

19 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 19 Multiplying Fractions Multiply. Remember to simplify first. 1 Example: Step 1: Simplify Step 2: Multiply numerators. Multiply denominators = = 1 3 a = b = c = d = e = f = g = h = i = j = k = l = m = n = o = 19

20 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:05 PM Page 20 Multiplying Fractions Multiply. Write your answer in lowest terms. a = b = c = d = e = f = g = h = i = j = k = l = Write a mixed fraction equation for this problem and solve it. Write the answer in a complete sentence. m. Pip has a recipe that uses cups of flour. She wants to make times the original recipe. How many cups of flour does she need? 20

21 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 21 Dividing Fractions Find the reciprocal of each fraction. a. 1 b. 2 c Divide. Write your answer in lowest terms. 1 Example: Step 1: Find the reciprocal of the second number. The reciprocal of 1 2 is Step 2: Multiply the first number by the reciprocal of the second number = = = d = e = f = g = h = i = j = k = l = 21

22 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 22 Dividing Fractions Find the reciprocal of each number. a. 9 1 b. 9 c. 8 3 d Divide. Write your answer in lowest terms. e = f = g = h = i = j = k = l = m = n = o = p = 22

23 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 23 Estimating With Fractions Estimate each answer by using fractions that work well together. Write your answer in lowest terms. Example: Step 1: 1 8 is close to 1 7. Change 1 8 to Step 2: Add = is about 4 7 a b c d e f g h i j k l m n o p q r

24 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 24 Estimating With Fractions Use whole numbers to estimate each answer. a b c d e f g h i j k l Classify each answer as an overestimate or an underestimate. m is about 2 5. n is about 1 2. o is about 1 5. p is about 2 9. q is about r is about 3. 24

25 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 25 Decimals Name the place value of the underlined digit in each number. a b c d e f Write each decimal in expanded form. g h i Write each decimal in word form. j k l

26 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 26 Decimals Name the place value of the underlined digit in each number. a b c d e f Write the decimal form of each number. g h i j. Thirty-two and six tenths k. One hundred forty-three and eighty-five hundredths l. Five and six hundred thirty-four thousandths m. A number has the following digits: 2 in the ones place, 6 in the hundredths place, 1 in the tens and thousandths places, and 8 in the tenths and hundreds places. What is the number? 26

27 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 27 Equivalent Decimals Write three equivalent decimals for each given number. a. 3.4 b c. 6 d Are the following numbers equivalent? Circle yes or no. e. 6.4 and 6.04 Yes No f and Yes No g and 95 Yes No h and Yes No i. 3.4 and Yes No j and 3.05 Yes No k and Yes No 27

28 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 28 Equivalent Decimals Write three equivalent decimals for each given number. a b c d Write the letter of the equivalent number. e A 7.80 B f C D g E F h G H i I J 25.3 j K

29 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 29 Decimals as Fractions Write the decimal as a fraction using the place value of the final digit as the denominator. Then, reduce the fraction to lowest terms. Example: Decimal Fraction The last digit, 2, is in the hundredths place. 100 So, the denominator is 100. Fraction in Lowest Terms = a b c d e f g h i j

30 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 30 Decimals as Fractions Write each of the following decimals as fractions in lowest terms. a. 0.6 b c d e f g h. 4.6 i j k l m n o p q. A nickel is 0.05 of a dollar. A nickel is what fraction of a dollar? r. A quarter is 0.25 of a dollar. A quarter is what fraction of a dollar? 30

31 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 31 Fractions as Decimals Write each fraction as a decimal by first writing an equivalent fraction with a denominator that is a power of ten. Example: 3 = 75 = a. 3 b. 1 c d. 7 e. 3 f g. 5 h. 9 i j. 1 k. 195 l

32 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 32 Fractions as Decimals Write each fraction as a decimal by dividing the numerator by the denominator. Example: = a. 3 b. 3 c d. 3 e. 12 f g. 33 h. 167 i j. Bill took seconds to walk from science class to the library. Write the amount of time using a decimal. 32

33 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 33 Comparing Decimals Compare each pair of decimals. Use <, >, or =. > a b c d e f g h Put each set of decimals in order from least to greatest. i. 0.43, 0.431, 0.4 j , 4.513, k , 23.52, l. 0.52, 5.02, m , 34.45, n , ,

34 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 34 Comparing Decimals Compare each pair of decimals. Use <, >, or =. a b c d e f g h Use complete sentences to answer each question. i. George has $8.42. Melinda has $8.24. Who has more money? j. Chico ran from his backyard to the sidewalk in seconds. His brother ran the same distance in 2.04 seconds. Who ran faster? k. Write two decimal numbers in a way that the number with fewer digits has a greater value than the number with more digits. 34

35 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 35 Rounding Decimals Round each decimal to the tenths place. a b c d e f g h Round each decimal to the hundredths place. i j k l m n o p Round each decimal to the thousandths place. q r s t u v w x Round each decimal to the nearest whole number. y z aa bb cc dd ee ff

36 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 36 Rounding Decimals Fill in the table by rounding each decimal to the given place value. Example: Decimal Ones Tenths Hundredths a b c d e f g h i j k l m n o

37 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 37 Adding Decimals Add. Example: Step 1: Line up the 0.2 Step 2: Add. 0.2 decimal points Remember to put the decimal point 6.3 in the answer. a b c d e f g h i j k. Pedro added and 2.4. His answer was Was his answer correct? Why or why not? 37

38 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 38 Adding Decimals Add. a b c d e f g h i j k l Write a decimal equation to solve each problem. Write the answer in a complete sentence. m. The Cattleman s Club supplied beef for a barbeque. They gave a pound package and a pound package. What was the total weight of the two packages? n. One board is 14.8 meters long. Another is 15.1 meters long. How long are the two boards together? 38

39 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 39 Regrouping to Add Add. Regroup as needed. Example: Step 1: Step 2: 1 Step 3: 1 Line up the 5.7 Add tenths. 5.7 Add ones. 5.7 decimal points Regroup a b c d e f g h i j k

40 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 40 Regrouping to Add Add. Regroup as needed. a b c d e f g h i Write a decimal equation to solve each problem. Write the answer in a complete sentence. j. Chang scored points in the first part of a competition. He scored another 38.7 points in the second part. What was his combined score for both parts of the competition? k. A ride at the water park will seat two people with a total weight less than 300 pounds. If Mike weighs pounds and his son weighs 89.6 pounds, can they ride together? 40

41 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 41 Subtracting Decimals Subtract. Example: Step 1: Line up the 1.47 Step 2: Subtract decimal points Remember to put the decimal point 1.37 in the answer. a. 8.6 b c d e f g h i j k l m. $46.59 $20 n. $82.48 $61.03 o. $12.50 $

42 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 42 Subtracting Decimals Subtract. a. 9.2 b. $26.69 c $ d e f g h i j. $32.64 $11.21 k. $95.62 $41.30 l. $8.79 $4.09 Write a decimal equation to solve each problem. Write the answer in a complete sentence. m. Chino s average grade in math is 95.6 His average grade in science is How many points higher is his math grade? n. When Joe left his house for school the temperature was 2.8 F. When he got home after school, the temperature was 23.9 F. What was the difference in temperature? 42

43 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 43 Regroup to find the difference. Example: Regrouping to Subtract Step 1: Regroup. 8.0 Step 2: Subtract 8.0 Step 2: Subtract tenths. 2.3 ones a b c d. 9.2 e f g h i j k l Write a decimal equation to solve this problem. Write the answer in a complete sentence. m. The average temperature of a dog is F. The average temperature of a human is 98.6 F. How much higher is the average temperature of a dog? 43

44 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 44 Regrouping to Subtract Find the correct change by subtracting decimals. Cost of Item Amount Paid Change Example: $5.23 $6.00 $0.77 $17.50 $20.00 a. $0.89 $1.00 b. $6.43 $20.00 c. $ $ d. $ $ e. $3.87 $5.00 f. $13.08 $15.00 g. $7.65 $10.00 h. $24.96 $30.00 i. $1.62 $ j. $2.36 $5.00 k. $ $ l. 44

45 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 45 Multiply. Multiplying Decimals Example: Step 1: Multiply as Step 2: Count the decimal Step 3: Place the a whole number. places. decimal point a. 0.6 b. 0.9 c. 1.4 d e. 20 f. 25 g. 9.3 h i j k l m n o p

46 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 46 Multiply. Multiplying Decimals a b c d e f g h i Write a decimal equation to solve each problem. Write the answer in a complete sentence. j. A book is 1.75 inches thick. If 6 books are stacked together, how many inches tall is the stack? k. A pound of peanuts costs $3.48. How much does 0.25 pounds of peanuts cost? l. A dolphin can swim 0.7 kilometers in one minute. At that rate, how many kilometers can a dolphin swim in 15 minutes? 46

47 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 47 Divide. Example: Dividing Decimals. Step 1: Put the decimal point Step 2: Divide. 1.2 in the answer above the decimal point in the -8 number being divided a b c d e f g h i j k l m n

48 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 48 Divide. Dividing Decimals a. 7 5 b c. 9 8 d e f g h i Write a decimal equation to solve each problem. Write the answer in a complete sentence. j. Eric has 56.4 meters of wire for speakers. There are 6 speakers. If Eric cuts the wire evenly into 6 pieces, how long will each wire be? k. Peter earned $55.80 in 9 hours. How much did he earn per hour? 48

49 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 49 Divide. Example: Dividing by a Decimal Step 1: Move the decimal point Step 2: Divide. 12 the same number of places in each number -8 to make the divisor 16 a whole number a b c d e f g h i j k l m n

50 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 50 Divide. Dividing by a Decimal a b c d e f g h i Write a decimal equation to solve each problem. Write the answer in a complete sentence. j. Jan wants to buy a shirt that costs $ If he saves $2.50 each day, how many days will it take to save enough to buy the shirt? k. Bill had $8.40 in nickels. A nickel is $0.05. How many nickels were there? 50

51 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 51 Terminating and Repeating Write each fraction as a terminating or repeating decimal. a. 1 2 = b = c. 3 8 = d. 5 6 = e = f. 4 9 = g. 3 4 = h. 3 5 = i. 1 3 = Write each repeating decimal as a fraction in lowest terms. j. 0.5 = k = l = m = n. 0.6 = o = 51

52 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 52 Terminating and Repeating Write each fraction as a terminating or repeating decimal. a. 1 4 = b = c = d. 7 9 = e = f = g = h = i. 7 8 = Write each repeating decimal as a fraction in lowest terms. j. 0.7 = k = l = m = n = o = 52

53 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 53 Powers of Ten Use powers of ten to multiply mentally. a b c d e f g h i j k l m n o p ,000 q ,000 r Write a decimal equation to solve each problem. Write the answers in complete sentences. s. An electric company charges $ per kilowatthour of electricity. If a family uses 1000 kwh, how much does it cost? t. One mouse drinks about 5.5 ml of water per day. About how much water do 100 mice drink? 53

54 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 54 Powers of Ten Use powers of ten to divide mentally. a b c d e f g h i j k l m n o p q r ,000 Write a decimal equation to solve each problem. Write the answers in complete sentences. s. A package of 100 sheets of paper costs $2.00. What is the cost of each sheet of paper? t. A sprinkler system sends gallons of water over a 1,000 square foot area each hour. How many gallons is that per square foot? 54

55 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 55 Write each decimal as a percent. Percents a b c d e f. 1.6 g. 0.9 h Write each fraction as a percent. i. 3 j. 1 k. 7 l m. 9 n 3 o. 16 p Answer each problem in a complete sentence. q. Brad used 3 of a CD to save music files. 4 What percent of the CD did he use? r. Colin finished 0.38 of his homework. What percent of his homework is complete? 55

56 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 56 Write each decimal as a percent. Percents a b c d e. 2.5 f. 50 g. 0.8 h. 8.8 Write each fraction as a percent. i. 5 j. 7 k. 7 l m. 11 n 4 o. 11 p Answer each problem in a complete sentence. q. Hugh stacked 1 of a pile of wood. 8 What percent of the wood did he stack? r. Philida bought a discounted computer for 0.47 of the original price. What percent did she pay of the original price? 56

57 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 57 Estimating With Decimals Round to the nearest whole number. a. $82.45 b c. $1.95 d Estimate by rounding each decimal to the nearest whole number. e f g h i j k l m n o p q r s t u v

58 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 58 Estimating With Decimals Round to the greatest place value. a b c d Estimate by rounding each decimal to its greatest place value. e f g Estimate by rounding both decimals to the greatest place value of the smaller decimal. h i j Write a decimal equation to solve each problem. Estimate each answer by rounding to the nearest whole number. k. Matilda spent $8.89 on a book and $3.27 on a package of markers. About how much did she spend? l. A pair of jeans with gold designs on the pockets costs $ A pair of jeans with pink patches costs $ About how much more do the jeans with gold designs cost? m. Karaoke CD s cost $8.59. If Amber wants to buy 7 of them, about how much will it cost? 58

59 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 59 Answers Understanding Fractions Page 3: a. a numerator; b. a denominator; c. 8; d. 5; e. 2/3, 3/4, 8/9, 1/2; f. The numerator, 8, is greater than the denominator, 3.; g. 2/5; h. 3/8 Page 4: a. 2; b. 7; c. proper fraction; d. improper fraction; e. 21, 6/21 or 2/7; f. 5/9; g. 4/9 Mixed Fractions Page 5: a. proper; b. improper; c. improper; d. mixed; e. proper; f. mixed; g. mixed; h. improper; i. 23/ 8 ; j. 19/8; k. 24/ 5 ; l. 11/4 Page 6: a. 21/ 2 ; b. 22/ 5 ; c. 12/ 7 ; d. 21/ 3 ; e. 11/ 2 ; f. 11/ 5 ; g. 1 3/ 8 ; h. 21/ 6 ; i. 7 1/ 5 ; j. 6 1/ 3 ; k. 1 1/ 12 ; l. 51/ 4 ; m. 11/8; n. 11/3; o. 7/4; p. 9/2; q. 13/4; r. 9/7; s. 17/8; t. 13/3; u. 14/5; v. 11/6; w. 57/10; x. 17/12 Equivalent Fractions Page 7: a i. Answers may vary. Check student work.; j. 1, 3, 5, 15; k. 1, 19; l. 1, 2, 4, 5, 10, 20; m. 1, 2, 3, 4, 6, 9, 12, 18, 36; n. 1, 2, 4, 5, 10, 20, 25, 50, 100; o. 1, 2, 3, 4, 6, 8, 12, 24 Page 8: a. 1, 2, 3, 4, 6, 12; b. 1, 2, 3, 6, 9, 18; c. 1, 2, 3, 6; d. 6; e. 1, 2, 4, 5, 10, 20; f. 1, 2, 4, 8, 16, 32; g. 1, 2, 4; h. 4; i. 1/3; j. 8/9; k. 1/2; l. 2/3; m. 1/3; n. 3/4; o. 2/3; p. 1/2; q. 1/12 Comparing Fractions Page 9: a. <; b. <; c. >; d. >; e. >; f. <; g. >; h. <; i. <; j. The denominators are the same, 5.; k. The black beetle; l. Jill drank more water. Page 10: a. 9; b. 40; c. 42; d. 12/15, 10/15; e. 15/20, 6/20; f. 4/16, 3/16; g. <; h. <; i. >; j. <; k. =; l. < Adding Like Fractions Page 11: a. 5/7; b. 3/4; c. 10/11; d. 4/5; e. 7/12; f. 5/9; g. 3/4; h. 1/2; i. 2/3; j. 7/20 + 8/20 = 15/20 = 3/4, 3/4 of the fish are either gold or silver. 59

60 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 60 Page 12: a. 9 1/ 2 ; b. 11 2/ 3 ; c. 10 1/ 2 ; d. 96/ 7 ; e. 52/ 5 ; f. 8 7/ 9 ; g. 9; h. 37 1/ 2 ; i. 11 1/ 5 ; j. 3 1/ 2 ; + 8 1/ 2 = 12, Macgregor used 12 CDs in all. Adding Unlike Fractions Page 13: a. 12/35; b. 5/8; c. 1/2; d. 7/8; e. 1 1/ 15 ; f. 11/12; g. 13/15; h. 17/30; i. 7/9; j. 2/5 + 1/3 = 11/15, Lorna drove 11/15 of the distance in the first two days. Page 14: a. 75/ 14 ; b. 109/ 10 ; c. 61/ 12 ; d. 103/ 8 ; e. 77/ 12 ; f. 1213/ 15 ; g. 235/ 72 ; h. 7; i. 2 1/ / 4 = 619/ 20, Emil bought 619/ 20 pounds of strawberries. Subtracting Like Fractions Page 15: a. 2/9; b. 1/3; c. 1/5; d. 4/11; e. 3/14; f. 1/3; g. 1/6; h. 2/5; i. 14/23; j. 7/8 5/8 = 1/4, Kim put 1/4 pound of almonds in the salad. Page 16: a. 62/ 5 ; b. 123/ 5 ; c. 111/ 2 ; d. 147/ 15 ; e. 112/ 5 ; f. 112/ 9 ; g. 153/ 4 ; h. 1; i. 282/ 3 Subtracting Unlike Fractions Page 17: a. 7/24; b. 1/4; c. 5/14; d. 1/6; e. 11/18; f. 5/24; g. 43/100; h. 7/12; i. 1/3; j. 3/5-1/3 = 4/15, Robin spent 4/15 of an hour longer than Juanita. Page 18: a. 1 1/ 4 ; b. 3 1/ 10 ; c. 6 1/ 12 ; d. 2 1/ 8 ; e. 32/ 3 ; f. 319/ 20 ; g. 51/ 5-47/ 10 = 1/ 2, Phillipe ran the mile 1/ 2 minute faster than Joe. Multiplying Fractions Page 19: a. 1/10; b. 2/3; c. 3/4; d. 11/ 20 ; e. 10/21; f. 1/2; g. 5/48; h. 1 2/ 3 ; i. 2/15; j. 13/ 4 ; k. 11/ 6 ; l. 1 1/ 3 ; m. 2/3; n. 2/3; o. 4/9 Page 20: a. 1; b. 4; c. 6; d. 6; e. 3/4; f. 2/5; g. 5/8; h. 1 5/ 12 ; i. 1 17/ 18 ; j. 2/5; k. 11/16; l. 10; m. 31/ 2 1 1/ 2 = 51/ 4, Pip needs 51/ 4 cups of flour. Dividing Fractions Page 21: a. 3/1; b. 7/2; c. 6/5; d. 1; e. 4/7; f. 2/3; g. 2/5; h. 11/ 2 ; i. 12/ 7 ; j. 11/ 2 ; k. 3; l. 1/27 60

61 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 61 Page 22: a. 1/9; b. 1/9; c. 3/8; d. 3/8; e. 6; f. 15; g. 8; h. 1/16; i. 1/18; j. 1/12; k. 4/15; l. 38/ 9 ; m. 14; n. 11/ 9 ; o. 63/ 5 ; p. 27/ 10 Estimating With Fractions Page 23: Answers may vary: a. 7/8; b. 3/4; c. 1/2; d. 4/9; e. 1/4; f. 3/4; g. 9/10; h. 71/100; i. 2/7 or 1/4; j. 7/18 or 7/20; k. 3/5 or 9/16; l. 9/10 or 27/31; m. 93/ 5 or 91/ 2 ; n. 950/ 99 or 91/ 2 ; o. 7/15 or 7/16; p. 2/3 or 3/4; q. 5/27 or 1/5; r. 71/ 4 or 72/ 7 Page 24: a. 23; b. 19; c. 5; d. 4; e. 17; f. 7; g. 12; h. 4; i. 24; j. 2; k. 3; l. 10; m. underestimate; n. overestimate; o. underestimate; p. overestimate; q. underestimate; r. underestimate Decimals Page 25: a. tens; b. tenths; c. hundreds; d. ones; e. hundredths; f. thousandths; g ; h ; i ; j. fifteen and sixty-one hundredths; k. twenty-three and five hundredths; l. thirty-four and three hundred fifty-one thousandths Page 26: a. hundredths; b. thousandths; c. tenths; d. tens; e. ones; f. hundreds; g ; h ; i ; j. 32.6; k ; l ; m Equivalent Decimals Page 27: a d. Answers may vary.; e. No; f. Yes; g. Yes; h. No; i. Yes; j. No; k. No Page 28: a-d. Answers may vary.; e. E; f. B; g. G; h. H; i. F; j. C Decimals as Fractions Page 29: a. 2/10, 1/5; b. 45/100, 9/20; c. 125/1000, 1/8; d. 4/100, 1/25; e. 5/1000, 1/200; f. 865/ 100, 813/ 20 ; g. 529/ 10, 529/ 10 ; h. 284/ 100, 221/ 25 ; i. 21/ 100, 21/ 100 ; j. 248/ 100, 242/ 25 Page 30: a. 3/5; b. 17/50; c. 7/100; d. 1/2; e. 5/8; f. 3/4; g. 1/8; h. 43/ 5 ; i. 219/ 20 ; j. 947/ 100 ; k. 4263/ 100 ; l. 813/ 20 ; m. 43/ 1000 ; n. 244/ 5 ; o. 52/ 125 ; p. 1/25; q. 1/20; q. 1/4 61

62 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 62 Fractions as Decimals Page 31: a. 0.06; b. 0.25; c. 0.16; d. 0.7; e ; f ; g ; h. 0.9; i. 0.4; j. 0.5; k. 0.78; l Page 32: a ; b. 0.6; c ; d. 0.15; e. 0.8; f. 0.95; g. 1.32; h ; i ; j seconds Comparing Decimals Page 33: a. >; b. <; c. =; d. >; e. <; f. <; g. =; h. <; i. 0.4, 0.43, 0.431; j , 4.351, 4.513; k , 23.52, 23.55; l. 0.52, 0.524, 5.02; m , 34.45, 35.42; n , , Page 34: a. <; b. <; c. >; d. =; e. >; f. >; g. >; h. <; i. George has more money.; j. Chico s brother ran faster.; k. Examples will vary. Rounding Decimals Page 35: a. 6.8; b. 54.4; c ; d. 16.6; e. 5.9; f. 12.7; g. 0.5; h. 1.7; i ; j ; k ; l. 0.69; m ; n. 0.57; o. 3.54; p ; q ; r ; s ; t ; u ; v ; w ; x ; y. 87; z. 364; aa. 66; bb. 10; cc. 1; dd. 8; ee. 1; ff. 1 Page 36: a. 6, 5.6, 5.64; b. 17, 16.9, 16.87; c. 65, 64.8, 64.85; d. 844, 843.7, ; e. 8, 7.5, 7.54; f. 10, 10.0, 10.00; g. 99, 98.6, 98.65; h. 6, 6.4, 6.39; i. 39, 38.8, 38.77; j. 3, 2.9, 2.95; k. 44, 43.7, 43.69; l. 2, 2.0, 2.01; m. 9, 8.5, 8.50; n. 13, 12.8, 12.75; o. 1, 0.8, 0.82 Adding Decimals Page 37: a. 0.76; b ; c ; d ; e ; f ; g. 9.35; h ; i ; j ; k. No, Pedro s answer is wrong. The correct answer is Page 38: a ; b ; c ; d ; e ; f ; g ; h ; i ; j ; k ; l ; m. The total weight was pounds.; n. Together the boards are 29.9 meters long. Regrouping to Add Page 39: a ; b ; c ; d ; e ; f ; g ; h ; i ; j ; k

63 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 63 Page 40: a ; b ; c ; d ; e ; f ; g ; h. 58.5; i. 4.48; j = 91.05, Chang had a combined score of points.; k = Yes, Mike and his son can ride together. Subtracting Decimals Page 41: a. 4.2; b. 0.17; c. 3.5; d. 3.5; e. 3.67; f. 8.06; g ; h ; i. 4.4; j. 2.71; k ; l ; m. $26.59; n. $21.45; o. $4.00 Page 42: a. 1.2; b. $23.42; c ; d. 4.24; e. 4.3; f ; g ; h ; i ; j. $21.43; k. $54.32; l. $4.70; m = 4.2, Chino s math grade is 4.2 point higher than his science grade.; n = 21.1, The difference in temperature was 21.1 F. Regrouping to Subtract Page 43: a. 76.7; b. 0.89; c. 6.5; d. 0.37; e. 0.06; f ; g. 0.6; h. 6.79; i. 6.63; j. 3.05; k ; l ; m = 2.9, The average temperature of a dog is 2.9 higher than a human. Page 44: a. $2.50; b. $0.11; c. $13.57; d. $62.40; e. $21.25; f. $1.13; g. $1.92; h. $2.35; i. $5.04; j. $98.38; k. $2.64; l. $95.22 Multiplying Decimals Page 45: a. 2.4; b. 1.8; c. 4.2; d. 0.6; e. 8; f. 5; g. 0.93; h. 0.72; i ; j ; k ; l. 6.1; m ; n ; o ; p. 0.1 Page 46: a ; b. 1; c. 0.12; d ; e ; f ; g ; h ; i ; j x 6 = 10.5, The stack is 10.5 inches tall.; k x 0.25 = 0.87, 0.25 pounds of peanuts costs $0.87; l. 0.7 x 15 = 10.5, A dolphin can swim 10.5 km in 15 minutes. Dividing by a Decimal Page 47: a. 0.7; b. 1.05; c. 0.4; d. 0.9; e. 0.48; f. 1.04; g. 0.47; h. 1.13; i. 0.84; j. 0.24; k. 2.41; l. 6.4; m. 8.52; n

64 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 64 Page 48: a. 1.4; b. 0.2; c ; d ; e. 0.02; f. 2.7; g. 3.17; h. 8.04; i ; j = 9.4, Each wire will be 9.4 meters long.; k. $ = $6.20, Peter earned $6.20 per hour. Dividing by a Decimal Page 49: a. 8; b. 7; c. 400; d. 12; e. 90; f. 50; g. 3.7; h ; i. 120; j. 12; k. 120; l. 56; m. 45; n. 3.2 Page 50: a. 70; b. 60; c. 60; d. 30; e. 6; f. 11; g. 27; h. 8.4; i. 1.2; j. $22.50 $2.50 = 9, It will take 9 days.; k. $8.40 $0.05 = 168, There are 168 nickels in $8.40. Terminating and Repeating Page 51: a. 0.5; b. 0.12; c ; d. 0.83; e. 0.12; f. 0.4; g. 0.75; h. 0.6; i. 0.3; j. 5 /9; k. 65 /99; l. 8 /11; m. 7 /11; n. 2 /3; o. 41 /333 Page 52: a. 0.25; b ; c. 0.3; d. 0.7; e. 0.26; f. 0.9; g. 0.68; h. 0.54; i ; j. 7 /9; k. 3 /11; l. 7 /33; m. 623 /999; n. 16 /33; o. 2 /11 Powers of Ten Page 53: a. 0.8; b. 8; c. 80; d. 15.6; e. 156; f. 1,560; g ; h. 9,486.3; i. 7,641; j ; k ; l. 8,356.4; m. 3.42; n ; o ; p. 3,650; q. 6,100; r ; s. $ = $94.50, The electricity costs $94.50; t = 550, 100 mice drink about 550 ml of water per day. Page 54: a ; b ; c ; d. 2.23; e ; f ; g ; h ; i ; j ; k ; l ; m ; n ; o ; p ; q ; r ; s. $ = $0.02, Each sheet costs $0.02.; t = , The sprinkler sends gallons an hour per square foot. 64

65 MB Worksheets Frac-DecFinal.qxd 1/2/2008 1:06 PM Page 65 Percents Page 55: a. 83%; b. 43%; c. 64%; d. 83.3%; e. 32%; f. 160%; g. 90%; h. 812%; i. 30%; j. 50%; k. 87.5%; l. 25%; m %; n. 60%; o. 64%; p. 97%; q. Brad used 75% of the CD.; r. Colin finished 38% of his homework. Page 56: a. 35%; b. 54%; c. 76%; d. 26%; e. 250%; f. 5000%; g. 80%; h. 880%; i. 62.5%; j. 35%; k. 70%; l. 28%; m %; n. 80%; o. 55%; p. 42%; q. Hugh stacked 12.5% of the wood.; r. Philida paid 47% of the original price. Estimating With Decimals Page 57: a. $82; b. 1; c. $2; d. 6; e. 7; f. 40; g. 20; h. 32; i. 16; j. 9; k. 1; l. 8; m. 0; n. 2; o. 10; p. 2; q. 10; r. 56; s. 520; t. 9; u. 4; v. 4 Page 58: a. 90; b. 8; c. 0.7; d. 0.05; e. 72; f. 5.4; g. 0.3; h. 12.6; i. 0.5; j. 120; k. $ $3.27 $12, Matilda spent about $12.; l. $27.64 $16.12 $12, The jeans with the gold designs cost about $12 more.; m. $ $63, It will cost about $63. 65