Powers of 10
Estimating Quotients
Comparison with Decimal Division
Division Problem Solving
Decimal Division
100

What is 102?

100

100

Estimate the quotient by rounding the expression to relate to a basic fact.

562 ÷ 73  = ___________

560 ÷ 70  = 80

or

700 ÷ 70 = 10

100

Sarah says that 19 ÷ 9 equals 9 ÷ 4 because both are “2 R1.” Show whether or not she is correct using decimal division.

Sarah is incorrect. 

2.111 is less than 2.25

100

A rectangular playground has an area of 3,162 square meters. If the width of the rectangle is 51 meters, find the length.

3,162 ÷ 51 = 62

Length = 62 meters

100

2.4 ÷ 4 =________

0.6

200

What is 1,000 written with an Exponent?

103

200

Estimate the quotient by rounding the expression to relate to a basic fact.

1,475 ÷ 688 = ___________

1400 ÷ 700 = 2

200

Lily says that 23 ÷ 3 equals 30 ÷ 4 because both are “7 R2.” Show if she is correct or incorrect using decimal division.

Lily is incorrect.

7.66 is greater than 7.5

200

A baker uses 4.5 pounds of flour daily. How many ounces of flour will he use in two weeks? Use words, numbers, or pictures to explain your thinking. 

(1 lb = 16 oz)

4.5 x 16 = 72.0 ounces per day

72 x 14 (two weeks) = 1,008 ounces

200

.45 ÷ 90 = ____

0.005

300

Express the missing divisor using a power of 10: 

42 ÷ ___________ = 0.042

1,000

103

300

Estimate the quotient by rounding the expression to relate to a basic fact.

609 ÷ 21 = ___________

600 ÷ 20 = 30

300

Charlotte says that 43 ÷ 5 equals 51 ÷ 6 because both are “8 R3.” Show if she is correct or incorrect using decimal division.

Charlotte is incorrect.

8.6 is greater than 8.5

300

A candy company packages caramel into containers that hold 32 fluid ounces. In the last batch, 1,848 fluid ounces of caramel were made. How many containers were needed for this batch?

1848 ÷ 32 = 57 R 24

The company will need 58 containers. 57 will be full. The 58th container will only have 24 fluid ounces.

300

34.5 ÷ 300 = _____

0.115

400

Express the missing divisor using a power of 10.

5,350 ÷ ___________ = 5.35

1,000

103

400

Estimate the quotient by rounding the expression to relate to a basic fact.

83.03 ÷ 23 = ___________

80 ÷ 20 = 4

400

John explains that 508 ÷ 9 is equal to 452 ÷ 8 because they both are "56 R4". Show if he is correct or incorrect using decimal division.

John is incorrect. 

56.44 is less than 56.5

400

Mr. Rice wants to string Christmas lights on his garage. He needs 166.25 ft of lights to go around his garage. The lights are sold in lengths of 19 ft each. How many lengths of lights will Mr. Rice need to purchase?

166.25 ÷ 19 = 8.75

He will need to buy 9 lengths of lights.

400

62.79 ÷ 23 = _____

2.73

500

Express the missing divisor using a power of 10.

847÷ ___________ =8.47

100

102

500

Estimate the quotient by rounding the expression to relate to a basic fact.

65.94 ÷ 21 = ___________

60 ÷ 20 = 3

or

80 ÷ 20 = 4

500

William explains that 251 ÷ 4 is equal to 313 ÷ 5 because they both are "62 R3". Show if he is correct or incorrect using decimal division.

William is incorrect.

62.75 is greater than 62.6

500

Tyler baked 702 Christmas cookies. He sold them in boxes of 18. After selling all of the boxes of Christmas cookies for the same amount each, he earned $136.50. What was the cost of one box of cookies?

702 ÷ 18 = 39 boxes.

136.50 ÷ 39 = $3.50

One box costs $3.50

500

249.6 ÷ 52 = _____

4.8

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