? Name 2.6 Essential Question Divide by 2-Digit Divisors How can you divide by 2-digit divisors? Number and Operations 5.3.C Also 5.3.A MATHEMATICAL PROCESSES 5.1.B Unlock the Problem Mr. Yates owns a smoothie shop. To mix a batch of his famous smoothies, he uses 18 ounces of orange juice. Each day he uses 560 ounces of orange juice. How many batches of smoothies can Mr. Yates make in a day? Divide. 560 18 Estimate. Underline the sentence that tells you what you are trying to find. Circle the numbers you need to use. STEP 1 Use the estimate to place the first digit in the quotient. 18 ) 560 The first digit of the quotient will be in the place. STEP 2 Divide the tens. 3 18 ) 560 54 2 Divide. 56 tens 18 Multiply. Subtract. Check. 2 tens cannot be shared among 18 groups without regrouping. STEP 3 Divide the ones. 31r2 18 ) 560 54 20 _ 18 2 Divide. Multiply. Subtract. Check. Math Talk Mathematical Processes Explain what the remainder 2 represents. Since _ is close to the estimate of 30, the answer is reasonable. So, Mr. Yates can make _ batches of smoothies each day. Module 2 85
Example Every Wednesday, Mr. Yates orders fruit. He has set aside $1,250 to purchase Valencia oranges. Each box of Valencia oranges costs $41. How many boxes of Valencia oranges can Mr. Yates purchase? You can use multiplication to check your answer. Divide. 1,250 41 DIVIDE CHECK YOUR WORK Estimate. 30 r20 30 41 ) 1,250 41 30 + 1,200 + 1,250 So, Mr. Yates can buy _ boxes of Valencia oranges. Share and Show Divide. Check your answer. 1. 28 ) 620 2. 64 ) 842 3. 53 ) 2,340 4. 723 31 5. 1,359 45 6. 7,925 72 86
Name Problem Solving Practice: Copy and Solve Divide. Check your answer. 7. 775 35 8. 820 41 9. 805 24 10. 1,166 53 11. 1,989 15 12. 3,927 35 13. Why can you use multiplication to check division? Explain. Problem Solving Use the list at the right to solve 14 16. 14. A smoothie shop receives a delivery of 980 ounces of grape juice. How many Royal Purple smoothies can be made with the grape juice? 15. Multi-Step The shop has 1,260 ounces of cranberry juice and 650 ounces of passion fruit juice. If the juices are used to make Crazy Cranberry smoothies, which juice will run out first? How much of the other juice will be left over? Orange Tango Smoothie 18 ounces orange juice 12 ounces mango juice Crazy Cranberry Smoothie 20 ounces cranberry juice 10 ounces passion fruit juice Royal Purple Smoothie 22 ounces grape juice 8 ounces apple juice 16. In the refrigerator, there are 680 ounces of orange juice and 410 ounces of mango juice. How many Orange Tango smoothies can be made? Explain your reasoning. Module 2 Lesson 6 87
Daily Assessment Task Mathematical Processes Fill in the bubble completely to show your answer. 17. A shipment of 572 scented erasers has arrived at the school store. You want to sell them in sets of 15. How many full sets of erasers can you make? A 40 C 39 B 38 D 37 18. Darius counted that he walks 864 steps from his house to the bookstore. If Darius takes 52 steps each minute, about how long will it take him to reach the bookstore? A B C D 31 minutes 17 minutes 13 minutes 20 minutes 19. Multi-Step The school store has 1,262 bouncy balls. The bouncy balls are packaged in sets. Any single bouncy ball is sold for $1. If all the bouncy balls sell, which of the following will give the store the best profit? A Sets of 25 for $13 B Sets of 16 for $9 C Sets of 12 for $7 D Sets of 10 for $6 88 TEXAS Test Prep 20. James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over? A 19 B 23 C 90 D 79
Homework and Practice Name Number and Operations 5.3.C Also 5.3.A MATHEMATICAL PROCESSES 5.1.B 2.6 Divide by 2-Digit Divisors Divide. Check your answer. 1. 18 ) 783 2. 22 ) 4,722 3. 56 ) 891 4. 19 ) 3,192 5. 63 ) 173 6. 43 ) 8,382 7. 39 ) 5,109 8. 32 ) 832 9. 14 ) 573 Explain. 10. You can check your answer to a division problem by using multiplication. How can you check the answer when a division problem has a remainder? Problem Solving 11. Leon has 1,353 bottle caps in his collection. He decides to divide them evenly among 47 boxes. How many bottle caps will Leon have left over? 12. It takes 48 ounces of vegetable broth to make a pot of Chef Zoe s minestrone soup. How many pots of soup can be made with 432 ounces of broth? Module 2 Lesson 6 89
Lesson Check TEXAS Test Prep Fill in the bubble completely to show your answer. 13. Tamera has a rubber band ball made of 3,241 rubber bands. How many complete smaller rubber band balls can she make if each small ball is made of 80 bands? A 28 B 40 C 53 D 41 15. A baker has 834 fluid ounces of muffin batter. Each muffin needs 12 fluid ounces of batter. How many muffins can the baker make? A 70 B 69 C 68 D 65 17. Multi-Step A juice bar has 768 ounces of passion fruit juice and 810 ounces of berry juice. Passion fruit juice is sold in 16-ounce cups. Berry juice is sold in 18-ounce cups. Which statement is true? 14. Sam picks out a book that has 468 pages. He wants to finish the book in 36 days. If he reads the same number of pages each day, how many pages should he read? A 23 B 17 C 13 D 11 16. Springfield has an aquarium that holds 336 gallons of water. It takes 24 hours to fill the aquarium. How many gallons of water fill the aquarium each hour? A B C D 16 gallons 14 gallons 15 gallons 13 gallons 18. Multi-Step A city has 7,204 recycle bins. The city gives half of the recycle bins to its citizens. The rest of the recycle bins are divided into 23 equal groups for city parks. How many recycle bins are left over? A B The juice bar can sell 3 more cups of berry juice than passion fruit juice. The juice bar can sell the same number of cups of berry juice and passion fruit juice. A 14 B 156 C 138 D 28 90 C D The juice bar can sell fewer than 90 total cups of berry juice and passion fruit juice. The juice bar can sell 3 more cups of passion fruit juice than berry juice.