The following shows how place value and money are related. ones tenths hundredths thousandths 1, At a reception, 23 of 100 pieces of

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1 2-1 Homework Name Date The following shows how place value and money are related. ones tenths hundredths thousandths (dollars) (dimes) (pennies) (tenths of a penny) Write each fraction as a decimal and then say it. 1 _ _ _ _ _ or _ _ _ _ _ Solve. 17 A large building has windows, and of the windows need to be replaced. What decimal represents the number of windows that need to be replaced? At a reception, 23 of pieces of wedding cake have been eaten. What decimal number represents the number of pieces of cake that have been eaten? Jody made 10 party invitations. Yesterday she mailed 4 of them. What decimal represents the number of invitations that have been mailed? Mr. Chan handed out eight tenths of his flyers. Write a fraction and a decimal that represents the amount of the flyers that he handed out. _ 8 10 ; There are vehicles in a stadium parking lot; 422 of the vehicles are trucks. What decimal represents the number of vehicles that are trucks? Jason has an album that holds trading cards. He has 2 trading cards in the album. Write a fraction and a decimal that represent the amount of the album that is filled. _ 2 ; 0.2 UNIT 2 LESSON 1 Decimals as Equal Divisions 27

2 2-1 Name Date Remembering Add _ _ _ Subtract _ 1 12 _ Add or Subtract. 7 Solve _ _ Kennedy served 1 3 hours of volunteer service last month. 4 She served 21 hours of volunteer service this month. How 6 many more hours did she serve this month? 1 6 _ 12 hours 4 11 Stretch Your Thinking Draw a diagram that shows 0. and are equivalent. 2 Possible drawings shown UNIT 2 LESSON 1 Decimals as Equal Divisions

3 2-2 Homework Name Date Write a decimal number for each word name. 1 nine thousand, six hundred five and nine tenths 9, two hundred ten thousand, fifty and nineteen hundredths 210, three tenths 4 seven thousandths eight hundredths Write each amount as a decimal number. 6 _ _ _ _ _ _ _ _ _ 106 Circle the value that is not equivalent to the other values Write three decimals that are equivalent. Answers will vary _ Write the decimals in Exercise 26 as fractions. Answers will vary. UNIT 2 LESSON 2 Thousands to Thousandths 29

4 2-2 Name Date Remembering Add or Subtract _ _ Solve _ 4 9 _ _ _ Tanner earns credits while playing on a math review website. He uses 2 _ 4 credits while reviewing fractions. 1 How many credits does he have left? 2 _ 11 1 credits Estimate the sum or difference by rounding each mixed number to the nearest whole number. Then find the actual sum or difference _ Estimate: Difference: 14 _ _ 2 Estimate: _ 1 Sum: 10 Write each fraction as a decimal and then say it _ _ Stretch Your Thinking Draw two number lines that show 0.20 and are equivalent. Possible drawings shown _ UNIT 2 LESSON 2 Thousands to Thousandths

5 2-3 Homework Name Date Write each amount as a decimal number. 1 9 tenths thousandths hundredths cents 7 _ 12 $ _ thousandths Circle the value that is not equivalent to the other values _ _ Compare. Write > (greater than) or < (less than) < > > < > > < < < 0.4 A store had the same amount of five fabrics. The chart shows the how much of each fabric is left. Use the data to answer each question. 2 The store sold the most of which fabric? Explain. Black; The least amount remains. 26 The store sold the least of which fabric? Explain. Yellow; The greatest amount remains. 27 The same amount of which fabrics is left? Explain. Red and white; The decimals are equivalent. Red fabric Blue fabric Yellow fabric White fabric Black fabric 0.10 yd yd 0.6 yd 0.1 yd 0.48 yd UNIT 2 LESSON 3 Equate and Compare Thousandths 31

6 2-3 Name Date Remembering Estimate the sum or difference by rounding each mixed number to the nearest whole number. Then find the actual sum or difference Estimate: 8 _ 13 Sum: 24 9 Estimate: Difference: Solve. Explain how you know your answer is reasonable. Explanations may vary. 3 Eli practices for a piano recital 3 3 hours in one week. In 4 the same week, he practices basketball 1 2 hours. How 3 much longer does he practice for his piano recital? _ 1 Answer: 2 12 hours Why is the answer reasonable? rounds to rounds to 2. The answer should 3 be about 4-2, or 2. Write a decimal number for each word name. 4 six hundred two and six tenths five thousandths Stretch Your Thinking Draw two number lines that show and are equivalent. Possible drawings shown UNIT 2 LESSON 3 Equate and Compare Thousandths

7 2-4 Homework Name Date The chart at the right shows the time each member of a relay team ran during a race. Use the data to answer each question. 1 How much longer did Jack run than Dusty? 0.02 sec 2 How much time did it take Brandon and Raj to complete their two legs of the race combined? 9.17 sec 3 Which two runners had the greatest difference in their running times? What is the difference? Brandon and Dusty; 0.11 sec Jack Dusty Brandon Raj 47.1 sec sec 47.6 sec 47.7 sec Copy each exercise. Then add or subtract = = = = = = = = = = = = 2.07 UNIT 2 LESSON 4 Adding and Subtracting Decimals 33

8 2-4 Name Date Remembering Use benchmarks of 0,, and 1 to estimate the sum or 2 difference. Then find the actual sum or difference. 1 7 _ Estimate: 1 _ Sum: _ 7 18 Estimate: Difference: 0 _ 1 18 Solve. Explain how you know your answer is reasonable. Explanations may vary. 3 Jordan is making a beaded necklace. Two thirds of the beads she uses are red and _ 4 of the beads are blue. She 21 wants the rest to be white. What fraction of the beads should be white? Answer: 7 Why is the answer reasonable? 2 3 is a little more than 2 and _ 4 21 is between 0 and, so the estimated 2 sum is a little less than 1. It would take a small fraction, close to 0, to make a total of 1. Compare. Write > (greater than) or < (less than). > < < Stretch Your Thinking Draw a diagram that shows = 2. Possible drawing shown. 34 UNIT 2 LESSON 4 Adding and Subtracting Decimals

9 2- Homework Name Date Use the number 724,062.8 for each exercise. 1 Increase the number by , Decrease the number by, , Add 8 in the hundreds place. 724, Subtract 2 from the hundredths place. 724,062.6 Copy each exercise. Then add or subtract. $ = $ $ = $ $4.23 = $ m m = 9.0 m = m m =.08 m = = m m = 6.47 m Solve. 14 Lina is making curtains and a decorative pillow for her bedroom. She needs 0.7 meter of cloth for the pillow and 4.67 meters for the curtains. How much cloth does she need in all?.42 meters 1 Olivia is buying a jacket that costs $8.99. The sales tax that will be added to the cost of the jacket is $.16. What is the total cost of the jacket including sales tax? $91.1 UNIT 2 LESSON Add Whole Numbers and Decimals 3

10 2- Name Date Remembering Compare. Write > (greater than) or < (less than). 1 3 > < _ 9 > 6 11 _ < 8 6 > _ 7 < Compare. Write > (greater than) or < (less than). < > < > > < Add or subtract _ _ Stretch Your Thinking Write 4 different mixed decimals that equal 11 wholes. Draw a picture that shows you are correct. Possible answer: = UNIT 2 LESSON Add Whole Numbers and Decimals

11 2-6 Homework Name Date Copy each exercise. Then subtract. 1 6, =,62 2 7, = 6, ,821-3,617 = 47, = , = 18, = Solve. 7 Ahmad had a piece of rope that was 7.14 meters long. He cut off 0.09 meter to practice making knots. What was the length of the rope after the cut? 7.0 m 8 Natasha has a large collection of books. The thickest book measures 4.9 centimeters. The thinnest book measures 1.8 centimeters. What is the difference in thicknesses of those two books? 3.1 cm 9 Yoshi saved $1, for a vacation in Mexico. While in Mexico, she spent $97. What amount of money did Yoshi not spend? $ Tarantulas are one of the largest spiders on Earth. A tarantula can grow to be about 6.8 centimeters long. A spitting spider can grow to be about 0.9 centimeters long. About how much longer are the largest tarantulas than the largest spitting spiders? exact difference:.9 cm; estimate: 6 cm UNIT 2 LESSON 6 Subtract Whole and Decimal Numbers 37

12 2-6 Name Date Remembering Write the mixed number as a fraction = = _ = _ 32 = = _ 23 = 6 Add or subtract _ $4.87 = $ = m m = 1.2 m Solve. 13 When Erin got her puppy, Cuddles, he weighed grams. He now weighs 2,313.6 grams more than he did when Erin first brought him home. How much does Cuddles weigh now? 3, grams 14 Stretch Your Thinking Write a subtraction 4.7 equation with a difference of 4.7. Then draw a number line to show between which two whole numbers the difference lies. Possible answer: = UNIT 2 LESSON 6 Subtract Whole and Decimal Numbers

13 2-7 Homework Name Date Use what you know about the Commutative Property to solve for n. 1 26, ,46 = 1,46 + n = n 26,184 n = n = Regroup the numbers using the Associative Property. Then add. 3 7 (_ ) + 4 = _ ( ) = _ = 7 1 _ ( ) = ( ) = = ( ) = 3 2 ( ) + 3 = = 3 2 Use the Distributive Property to rewrite the problem so it has only two factors. Then solve. 6 (2 9) + (7 9) = 3 (2 + 7) 9 = 9 = 900 Group the numbers to make the addition easier. Then add. 7 20, ,000 30, , , , On Monday, Mr. Borden ran 4.6 miles in the morning and 0.78 miles that afternoon. On Tuesday, he ran 3.4 miles. How much did he run on Monday and Tuesday all together. Write an equation and solve. 1 _ _ _ 1 _ ( ) = ( ) = 8.78 UNIT 2 LESSON 7 Properties and Strategies 39

14 2-7 Name Date Remembering Solve. 1 Trent is making a week s worth of after-school snacks for himself and his sister. He uses 1 cups of mixed nuts and 2 3 cups of granola. How many cups did he use in all? 4 3 _ cups 2 Shannon walked 4 7 miles and ran 3 miles during the 8 2 week. How much further did she walk than run? miles Add. 3 $4.2 + = $ = $2.39 = $ m m 8.6 m m m m 0.96 m 0.9 m 6.3 m Subtract. 9 70,763-2,176 68, ,872 _ , , , , , Stretch Your Thinking Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property. Possible answer: Commutative Property: = ; Associative Property: ( ) = 6 + ( ) 40 UNIT 2 LESSON 7 Properties and Strategies

15 2-8 Homework Name Date Round to the nearest whole number Round to the nearest tenth Round to the nearest hundredth Estimate each sum or difference. Sample estimates shown; accept reasonable estimates. 10 $46.78 $18. $ Solve. 13 A decimal number changed to 23.7 after it was rounded. Give a decimal number that is less than 23.7 and another that is greater than 23.7 that each round to Explain to what place each number was rounded. To the tenths place; Answers will vary. Accept any number greater than or equal to 23.6 and less than When Marla rounded 19.9 to the nearest tenth, she found the number changed to 20. Is this correct? Explain. correct; The rounds the 9 up to tenths equals 1 one = 20 1 Peter decided that the total cost for a $24. pair of jeans and a $12.2 shirt was $ Was Peter s answer reasonable? Explain why or why not. No; $26.80 is not close to the estimate of $37, $2 + $ Biruk wants to buy a book for $1.2 and a book for $4.8. He wants to pay with one $20 bill. Use estimation to decide if this is reasonable. Explain to what place value to round for an estimate that is useful in this situation. Possible answer: Estimate to the nearest tenth. $ $4.90, $1 + $4 = $19 and $0.30 and $0. 90 > $1, so paying with one $20 bill is not reasonable. UNIT 2 LESSON 8 Round and Estimate with Decimals 41

16 2-8 Name Date Remembering Solve. 1 Matt pours 3 2 cups of orange juice into 3 a measuring cup from a large container. Then he pours 1 cups back into the 4 container. How much orange juice remains in the measuring cup? _ 2 12 cups 2 The school cafeteria manager orders pounds of red onions and 10 2 pounds of yellow onions. How many pounds of onions did the manager order in all? pounds Subtract. 3 21, ,48 17, Use the Distributive Property to rewrite each problem so it has only two factors. Then solve. 6 ( 600) + ( 400) = 7 (1 6) + (8 6) = 8 Stretch Your Thinking Name three decimals between 16.4 and 16.. Draw a number line estimating the placement of all five decimals ( ) = =,000 6 (1 + 8) = 6 = 600 Possible answers: 16.42, , UNIT 2 LESSON 8 Round and Estimate with Decimals

17 2-9 Homework Name Date Jamal made a bar graph to compare the weights of 4 puppies in the animal shelter. 1 How much did the poodle weigh? 2.1 kg 2 List the puppies in order from heaviest to lightest. poodle, Labrador retriever, dachshund, beagle 3 What is the combined weights of the Labrador retriever and the beagle? 2.9 kg Weight (in kilograms) Dachshund Weights of Puppies Labrador Retriever Puppies Beagle Poodle 4 How much more did the Labrador retriever weigh than the dachshund? 0.4 kg The table shows the amount of rainfall this month in 4 Chester Creekside different cities. Merton Make a bar graph showing this information. Remember Warner to give your graph a title, labels, and a scale. Check students graphs. City Rainfall Amounts 0.20 cm 0.10 cm 0.0 cm 0.2 cm Chester Creekside Merton Warner UNIT 2 LESSON 9 Graphs with Decimal Numbers 43

18 2-9 Name Date Remembering Multiply = = 2, = = 2,278 1,09 3 = 4,27 6,098 7 = 3,686 Regroup the numbers using the Associative Property. Then add. ( ) = = ( ) = _ ( _ ) 6 = (2_ 10 + _ 4 10 ) + 4 = = 3 4 Estimate each sum or difference $ $ Stretch Your Thinking The bar graph shows the heights of bean plants for four students in Mrs. Jarnigan s fourth-grade science class. Bean Plant Heights Possible estimates are shown. Accept reasonable estimates. Height in Inches Jamie s Plant Terri s Plant Jason s Plant Student s Plant Mariah s Plant Write a two-step problem using the data from the graph. Possible answer: Cheyenne s plant has a height that is the difference between the heights of Terri s plant and Jamie s plant added to the height of Mariah s plant. How tall is Cheyenne s plant? = 4 inches 44 UNIT 2 LESSON 9 Graphs with Decimal Numbers

19 2-10 Homework Name Date Look again at the table on Student Activity Book page 70. It shows how far from the sun the planets in our solar system orbit. For example, it shows that Jupiter (.2 AU) orbits about times farther from the sun than Earth (1 AU) because 1 =. On a grid where 1 grid square = 1 AU, a dot for Earth would be 1 grid square away from the sun, and a dot for Jupiter would be about grid squares away. On the left side of the grid below, draw a dot to represent the sun. Then using the scale 1 grid square = 1 AU, draw and label a dot for each of the eight planets to show their relative distances from the sun. Sun Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune UNIT 2 LESSON 10 Focus on Mathematical Practices 4

20 2-10 Name Date Remembering Solve. 1 During a movie, Kelley eats 12 2 ounces of snack 7 mix and Madison eats 1 3 ounces of snack mix. 4 How much did they eat altogether? 1 28 _ 28 ounces 2 Caleb practices the piano for 1 2 minutes on 3 Monday and 21 minutes on Tuesday. How much 2 longer did he practice on Tuesday? 6 minutes Estimate each sum or difference. Possible estimates are shown. Accept reasonable estimates $ $ $22 Carly made a bar graph to show how far each of her toy cars traveled. Toy Car Travel Distance 6 How much farther did Carly s yellow car travel than her blue car? 0.2 foot 7 What is the greatest and least distance traveled? What is the difference between the two distances? 29.7 feet; 29.1 feet; 0.6 foot 8 Stretch Your Thinking Brad has 32 ounces of mixed fruit to share with three friends. He gives 7.6 ounces to Carrie, 8.02 ounces to Joshua, and 6.88 ounces to Terrell. How much mixed fruit is left for Brad? 9.4 ounces Distance in Feet Red Car Blue Car Car Color Yellow Car Black Car 46 UNIT 2 LESSON 10 Focus on Mathematical Practices