Using Bar Models: Multiplication and Division
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1 Name: Date: Chapter 16 Using Bar Models: Multiplication and Division Practice 1 Real-World Problems: Multiplication Solve. Use bar models to help you. Example Aaron has 3 baskets of oranges. There are 5 oranges in each basket. How many oranges does Aaron have? 5? 3 15 Aaron has 5 = 15 oranges. 3 groups of 5 oranges 1. Susan has 4 bunches of roses. There are 8 roses in each bunch. How many roses does Susan have? 8 groups of 8 roses? 8 = Susan has roses. Lesson 1 Real-World Problems: Multiplication 155
2 Solve. 2. Willie reads 10 pages of his book each day. How many pages does he read in 3 days? groups of pages = Willie reads pages in 3 days. 3. There are 7 boxes. There are 5 baseballs in each box. How many baseballs are there in all? = groups of baseballs There are baseballs in all. 156
3 Name: Date: Solve. 4. There are 3 tricycles in a shop. Each tricycle has 3 wheels. How many wheels do the tricycles have in all? The tricycles have in all. 5. Carlos buys 5 boxes of markers. There are 10 markers in each box. How many markers does Carlos buy? Carlos buys markers. Lesson 1 Real-World Problems: Multiplication 157
4 Solve. 6. There are 9 boxes of rocks. There are 3 rocks in each box. How many rocks are there in all? There are rocks in all. 7. Samuel makes 6 shapes using craft sticks. He uses 5 craft sticks for each shape. How many craft sticks does Samuel use in all? 158 Samuel uses craft sticks in all.
5 Name: Date: Solve. 8. Farah has 8 vases. She puts 5 flowers in each vase. How many flowers does Farah have in all? Farah has flowers in all. 9. Benny has 7 fish tanks. There are 4 goldfish in each tank. How many goldfish does Benny have? Benny has goldfish. Lesson 1 Real-World Problems: Multiplication 159
6 Math Journal Fill in the blanks, ovals, and circles. To show 3 groups of 6 strawberries, Step 1 I draw strips of equal lengths bars in a row to represent 3 groups. Step 2 I write the number in the oval above one strip and a in the oval below the strips. Step 3 I write the number sentence. =? Step 4 I m to find the answer. = 160
7 Name: Date: Practice 2 Real-World Problems: Division Circle the correct bar model. Example Divide 15 children into 5 groups. How many children are in each group? 5? Place 20 strawberries equally on 4 plates. How many strawberries are on each plate? ? There are 21 buttons to sew on some shirts. Each shirt needs 3 buttons. How many shirts are there?? Lesson 2 Real-World Problems: Division 161
8 Solve. Example A baker has 12 rolls. He divides the rolls equally among 4 children. How many rolls does each child get?? Each child gets = 3 rolls. 3. Zach has 36 plants and 4 pots. He puts an equal number of plants in each pot. How many plants are in each pot?? = There are plants in each pot. 162
9 Name: Date: Solve. Use the bar model to help you. Example Ben has 35 leather strips. He uses 5 strips for each necklace he makes. How many necklaces does he make?? necklaces leather strips Ben makes = 7 necklaces. 4. Lily sews 24 dresses for her dolls. Each doll gets 3 dresses. How many dolls does Lily have?? dolls dresses = Lily has dolls. Lesson 2 Real-World Problems: Division 163
10 Solve. 5. Gina has 40 stamps. She pastes them equally on 4 pages in her album. How many stamps are on each page? There are stamps on each page. 6. Ryan has read 28 pages of a book. He reads 4 pages each day. How many days has Ryan been reading the book? Ryan has been reading for days. 164
11 Name: Date: Practice 3 Real-World Problems: Measurement and Money Tell whether you need to multiply or divide. Then solve. Use bar models to help you. Example Jen walks along an 8-meter path. She walks along the path 3 times each day. How far does she walk each day? 8 m 8 3 = Jen walks? m meters each day. 1. Raul cuts 6 strips of paper. Each strip is 5 centimeters long. He tapes them together to make a long strip. How long is the strip he makes? Multiply to find the answer. 5 cm? cm 5 6 = The strip is centimeters long. Lesson 3 Real-World Problems: Measurement and Money 165
12 Tell whether you need to multiply or divide. Then solve. Use bar models to help you. 2. Helen has a ribbon 21 inches long. She cuts it into 3 equal pieces. How long is each piece?? in = 21 in. Each piece is inches long. 3. Jessica has a string that is 30 feet long. She cuts it into equal pieces. Each piece is 5 feet long. How many pieces does she cut the string into? 30 ft 5 5? pieces She cuts the string into pieces. 166
13 Name: Date: Tell whether you need to multiply or divide. Then solve. 4. A strip of paper is 40 centimeters long. It is cut into 4 equal pieces. How long is each piece? Each piece is centimeters long. 5. Sara is making curtains. She needs 5 meters of cloth for each curtain. She has 45 meters of cloth. How many curtains can she make? She can make curtains. Lesson 3 Real-World Problems: Measurement and Money 167
14 Tell whether you need to multiply or divide. Then solve. Use bar models to help you. 6. The mass of 5 bags of potatoes is 30 kilograms. Each bag has the same mass. What is the mass of each bag?? kg 30 kg The mass of each bag is 7. There are 6 bricks. Each brick has a mass of 3 kilograms. What is the total mass of the 6 bricks? kilograms. 3 kg? kg The total mass of the 6 bricks is kilograms. 168
15 Name: Date: Tell whether you need to multiply or divide. Then solve. 8. A pencil sharpener has a mass of 10 grams. What is the total mass of 7 pencil sharpeners? The total mass of 7 pencil sharpeners is 9. The total mass of 3 bags of flour is 6 kilograms. Each bag has the same mass. What is the mass of each bag of flour? grams. The mass of each bag of flour is kilograms. Lesson 3 Real-World Problems: Measurement and Money 169
16 Tell whether you need to multiply or divide. Then solve kilograms of rice is divided equally into some bags. Each bag has a mass of 8 kilograms. How many bags of rice are there? There are bags of rice. 11. Mrs. Evan s family drinks 5 liters of milk in a week. How many liters of milk does her family drink in 7 weeks? Her family drinks liters of milk in 7 weeks. 170
17 Name: Date: Tell whether you need to multiply or divide. Then solve. 12. Alberto pours 18 liters of water equally into 3 tanks. How much water is there in each tank? There are liters of water in each tank. 13. Barry collects 16 liters of water from a well. He pours the water into some pails. Each pail contains 4 liters of water. How many pails are there in all? There are pails in all. Lesson 3 Real-World Problems: Measurement and Money 171
18 Tell whether you need to multiply or divide. Then solve. 14. Mariam gives $40 to her grandchildren. Each of them gets $5. How many grandchildren does she have? She has grandchildren. 15. Mrs. Tan buys 4 bottles of sauce. Each bottle costs $4. How much does she pay? She pays $. 16. Linda has $50. She spends all of it on some bags. Each bag costs $10. How many bags are there in all? 172 There are bags in all.
19 Name: Date: Put On Your Thinking Cap! Challenging Practice Macy has some ropes, each 2 feet long. Nellie has some ropes, each 3 feet long. Oscar has some ropes, each 5 feet long. What is the length of each line of ropes when they are of the same length? 173
20 Put On Your Thinking Cap! Problem Solving Sheena bakes 100 muffins. She shares them equally with 4 other girls. How many muffins does each one get? How many more muffins are needed so that each one gets two more muffins? 174
21 Name: Date: Chapter Review/Test Concepts and Skills Match each bar model to a word problem. Then solve the problem. 1. 6? Ken has 18 strawberries. He divides them equally into 3 baskets. How many strawberries are in each basket? strawberries 3 3? plates 3.? 18 Ken has 18 strawberries. He puts 3 onto same plates. How many plates does he need? Ken has 3 plates. He puts 6 strawberries onto each plate. How many strawberries does he have in all? 175
22 Problem Solving Write whether you need to multiply or divide. Then solve. 4. Jason has 5 apricots on each tray. He has a total of 50 apricots. How many trays are there? There are trays. 5. Claire paints 90 masks. She divides the masks equally and puts them in baskets. She puts 10 masks in each basket. How many baskets are there in all? There are baskets in all. 176
23 Name: Date: Write whether you need to multiply or divide. Then solve. 6. Sonny helps his mother pack old books in 6 boxes. Each box has a mass of 4 kilograms. What is the total mass of 6 boxes of books? The total mass of 6 boxes of books is 7. Sarah is making necklaces for her friends. She needs 12 feet of string for the necklaces. Each necklace needs a string 2 feet long. How many necklaces is Sarah making? kilograms. Sarah is making necklaces. 177
24 Tell whether you need to multiply or divide. Then solve. 8. Billy s cats drink 4 liters of milk in a week. How much milk do the cats drink in 4 weeks? The cats drink liters of milk. 9. Mr. Andres has 4 grandsons. He gives each of them $5. How much does he give his grandsons in all? He gives $ to his grandsons. 178
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