Division Test Review

1. Division Test Review Mrs. Kelly 5th Grade January 2013

2. Question #1 • Explain what you would do to model the division problem $20 ÷ 5= ? as “making equal groups.”

3. Answer to Question #1 • If you have $20 and were dividing by 5 you would give each person $4 dollars at one time.

4. Question #2 • Explain what you would do to model the division problem, $20 ÷ 5 = ? As “sharing fairly.”

5. Answer to Question #2 • Beginning with $20 you would pass one dollar at a time to each of the five people until each person had $4.

6. Question #3 • What is the relationship between division and subtraction?

7. Answer to Question #3 • The relationship between division and subtraction is division is repeated subtraction.

8. Question #4 • What is the relationship between division and multiplication?

9. Answer to Question #4 • Division is the inverse (opposite) operation of multiplication.

10. Question #5 • Identify the mathematical terms for the following numbers. 956 ÷ 8 = 119 1/2

11. Answer to Question #5 956 ÷ 8 = 119 ½ 956 – Dividend 8 – Divisor 119 – Quotient ½ - remainder

12. Question #6 • Rewrite the division sentence, 420 ÷ 6 = 70 *as a fraction *using the math symbol

13. Answer to Question #6 • 420/6 = 70 • 6√420 = 70

14. Question #7 • Rewrite the fraction 10/40 *as a division sentence *using the math symbol

15. Answer to Question #7 • 10 ÷ 40 = ¼ • 40√10 = ¼

16. Question #8 • Write “P” if the number is a prime number or write “C” if the number is a composite number. 51 ___ 91 ___ 81 ___ 39 ___ 79 ___ 111 ___

17. Answer to Question #8 51 _C__ 91 _C__ 81 _C__ 39 _C__ 79 _P__ 111 _C__

18. Question #9 • Mental Math. Write the quotients ONLY! a. 42,000 ÷ 70 = x b. 840,000 ÷ 700 = x c. 40,000 ÷ 800 = x d. 804,000 ÷ 400 = x

19. Answer to Question #9 a. 42,000 ÷ 70 = 600 b. 840,000 ÷ 700 = 1,200 c. 40,000 ÷ 800 = 50 d. 804,000 ÷ 400 = 2,010

20. Question #10 – Find the value of x. • 42 ÷ 42 = x • 33 ÷ 1 = x • 47 ÷ 0 = x • 0 ÷ 58 = x • 85 ÷ 0 = x • 63 ÷ 63 = x

21. Answers to Question # 10 • 42 ÷ 42 = x x = 1 • 33 ÷ 1 = x x = 33 • 47 ÷ 0 = x x = undefined • 0 ÷ 58 = x x = 0 • 85 ÷ 0 = x x = undefined • 63 ÷ 63 = x x = 1

22. Question #11 – ESTIMATE the following quotients. Show what numbers you used to determine your estimate. Then divide using the SHORT DIVISION METHOD. Write the remainder as a fraction in simplest form. • 569 ÷ 7 = • 5,389 ÷ 9 =

23. Answers to Question #11 • 569 ÷ 7 = Estimate: 560 ÷ 7 = 80 Actual: 81 2/7 • 5,389 ÷ 9 = Estimate: 5,400 ÷ 9 = 600 Actual: 598 7/9

24. Question #12 – Solve the following word problem using the 4 Step Problem Solving Plan. • Clara worked part-time at the movie theater during her college break. She earned $150. She worked twelve hours during that week. What was her hourly wage?

25. Answers to Question #12 • x = her hourly wage • Divide. $150 ÷ 12 = x • $150 ÷ 12 = $12 6/12 = 12 ½ • Her hourly wage was $12.50

26. Question #13 • Estimate the following quotients. Show what numbers you used to determine your estimate. Then divide using the TRADITIONAL METHOD. Write the remainder as a fraction in simplest form. • 3,680 ÷ 42 = • 4,972 ÷ 8 =

27. Answers to Question #13 • 3,680 ÷ 42 = Estimate: 3,600 ÷ 40 = 90 Actual: 87 26/42 = 87 13/21 • 4,972 ÷ 8 = Estimate: 4,800 ÷ 8 = 600 Actual: 621 4/8 = 621 ½

28. Question #14 • Solve the following word problems using the 4 Step Problem Solving Plan. Kevin bought 3 CD’s for $15.75 each and a DVD for $24.99 He gave the cashier a $100 bill. How much change did he get?

29. Answers to Question #14 • x = amount of change • $100 – ($15.75 x 3 + $24.99) = x • $100 – ($47.25 + $24.99) $100 - $72.24 = $27.76 • Kevin received $27.76 in change.

30. The citizens in Livingston are very committed to recycling. Every fourth day, the town collects glass bottles for recycling. Every fifth day, the town collects plastic materials for recycling. Every eighth day, the town collects newspapers for recycling. How many times during the first 220 days of 2012 did the town collect glass bottles, plastic materials and newspapers all on the same day? Explain your answer.

31. Answers to Question #15 • 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 • 5, 10, 15, 20, 25, 30 35, 40 • 8, 16, 24, 32, 40 Every 40th day all three are collected. This happens….40, 80, 120, 160, 200. Therefore, this will happen five times.

32. Question #16 • John volunteered to help pack up books in the library. There were 301 books that needed to be packed up and he could fit 19 books in each box. He estimated that he would need 15 boxes to fit all the books. Is his estimate correct? Why or why not?

33. Question #16 Circle the letter to the statement that best fits John’s estimation. a. John’s estimate is too high because he only needs 13 boxes to fit all the books b. John’s estimate is too high because he needs 17 boxes to fit all the books. c. John’s estimate is just right because he needs 15 boxes. d. John’s estimate is too low because he needs 16 boxes to fit all the books.

34. Question #17 – Put an “x” in the box if the example is divisible by the number.

35. Answers to Question #17

36. Question #18 Create two five-digit numbers that are divisible by: • 3 and 5, but not 2 • 5 and 6

37. Answers to Question #18 • Answers will vary! Sample answers: 3 and 5, but not 2 – 10,005 and 40,005 5 and 6 – 51,000 and 42,000

38. Question #19 • Write 1,000,000,000,000 using exponents. • How many 1,000,000’s are in 10,000,000,000?

39. Answers to Question #19 • Write 1,000,000,000,000 using exponents. ANSWER: 1012 • How many 1,000,000’s are in 10,000,000,000? ANSWER: 10,000

40. Question #20 – Round to the indicated place value. • 4,699,876,543 to the nearest hundred thousand. • 65,786,802 to the nearest hundred million.

41. Answers to Question #20 • 4,699,876,543 to the nearest hundred thousand. ANSWER: 4,699,900,000 • 65,786,802 to the nearest hundred million. ANSWER: 100,000,000