Homework 7-4 Name Understanding Remainders Another Look! Jamal has 20 marbles that he is putting into bags. He is going to put 6 marbles in each bag. Find 20 , 6. The remainder is the number left after the division is complete. Remember, the remainder must be less than the divisor. Jamal can fill 3 bags. There will be 2 marbles left over. There are 3 ways to interpret a remainder. The remainder can be ignored. The remainder can be the answer. You need to add 1 to the quotient. How many bags did Jamal fill? 3 bags How many marbles are not in bags? 2 marbles How many bags are needed for all the marbles? 4 bags In 1 through 3, find the number of equal groups and the number left over. 1. 16 , 5 = with left over 2. 34 , 6 = with left over 3. 31 , 8 = with left over In 4 through 6, divide. Then interpret the remainder. 4. 17 apples 3 apples in each bag 17 , 3 = with left over How many apples are not in bags? 5. 21 cards 5 cards in each box 21 , 5 = with 6. 19 model cars 4 cars on each shelf 19 , 4 = with left over left over How many boxes are needed for all cards? How many shelves are full? Digital Resources at PearsonTexas.com Topic 7 Lesson 7-4 389 7. Explain Why must the remainder be less than the divisor? 8. There are 25 students in Ms. Morris’s class. She wants to divide the class into 3, 4, or 5 equal teams. Which number of teams can she have? Explain. 9. How many basketball teams can be made with 18 people if each team must have at least 5 people? Explain. 10. Number Sense There are 14 girls trying out for cheerleading. Each team will have 6 cheerleaders. How many full teams will be made? How many girls will not make a team? 11. Use a Strip Diagram How many strings are used to make 4 guitars like the ones in the picture? Draw a strip diagram to show how you found your answer. 12. Extend Your Thinking Carl puts his coins on pages in a book. He has 22 coins. He can put 4 coins on each page. How many coins will Carl put on the last page? Explain how you found the answer. 14. Jada bought a bag of 8 apples. She and her 3 sisters will share the apples equally. How many apples will each person get? Will there be any apples left over? If so, how many? 390 Tejano music uses 12-string guitars. 13. There are 26 students in Dante’s class. One student is out sick today. They want to split into teams of six for a game. How many full teams can they make? A B C D 2 teams 4 teams 6 teams 20 teams Connecting the information you are given to what you are asked to find can help you interpret a remainder. © Pearson Education, Inc. 4
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