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Division Test Review

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Division Test Review

Mrs. Kelly

5th Grade

January 2013

- Explain what you would do to model the division problem
$20 ÷ 5= ? as “making equal groups.”

- If you have $20 and were dividing by 5 you would give each person $4 dollars at one time.

- Explain what you would do to model the division problem,
$20 ÷ 5 = ? As “sharing fairly.”

- Beginning with $20 you would pass one dollar at a time to each of the five people until each person had $4.

- What is the relationship between division and subtraction?

- The relationship between division and subtraction is division is repeated subtraction.

- What is the relationship between division and multiplication?

- Division is the inverse (opposite) operation of multiplication.

- Identify the mathematical terms for the following numbers.
956 ÷ 8 = 119 1/2

956 ÷ 8 = 119 ½

956 – Dividend

8 – Divisor

119 – Quotient

½ - remainder

- Rewrite the division sentence,
420 ÷ 6 = 70

*as a fraction

*using the math symbol

- 420/6 = 70
- 6√420 = 70

- Rewrite the fraction
10/40

*as a division sentence

*using the math symbol

- 10 ÷ 40 = ¼
- 40√10 = ¼

- 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 ___

51 _C__91 _C__81 _C__

39 _C__79 _P__111 _C__

- 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

a. 42,000 ÷ 70 = 600

b. 840,000 ÷ 700 = 1,200

c. 40,000 ÷ 800 = 50

d. 804,000 ÷ 400 = 2,010

- 42 ÷ 42 = x
- 33 ÷ 1 = x
- 47 ÷ 0 = x
- 0 ÷ 58 = x
- 85 ÷ 0 = x
- 63 ÷ 63 = x

- 42 ÷ 42 = xx = 1
- 33 ÷ 1 = xx = 33
- 47 ÷ 0 = xx = undefined
- 0 ÷ 58 = xx = 0
- 85 ÷ 0 = xx = undefined
- 63 ÷ 63 = xx = 1

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 =

- 569 ÷ 7 =
Estimate: 560 ÷ 7 = 80

Actual: 81 2/7

- 5,389 ÷ 9 =
Estimate: 5,400 ÷ 9 = 600

Actual: 598 7/9

- 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?

- x = her hourly wage
- Divide. $150 ÷ 12 = x
- $150 ÷ 12 = $12 6/12 = 12 ½
- Her hourly wage was $12.50

- 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 =

- 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

- 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?

- 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.

- 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.

- 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.

- 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?

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.

Create two five-digit numbers that are divisible by:

- 3 and 5, but not 2
- 5 and 6

- Answers will vary!
Sample answers:

3 and 5, but not 2 – 10,005 and 40,005

5 and 6 – 51,000 and 42,000

- Write 1,000,000,000,000 using exponents.
- How many 1,000,000’s are in 10,000,000,000?

- 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

- 4,699,876,543 to the nearest hundred thousand.
- 65,786,802 to the nearest hundred million.

- 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