Dividing Decimals
Powers of 10
Estimation & Compatible Numbers
Word Problems
Multi-Step / Reasonableness
100

Solve: 6.4 ÷ 2 = ?


 3.2


100

93 ÷ 10 = ?

 9.3

100

Estimate:
37.9 ÷ 8 ≈ ?

 40 ÷ 8 = 5


100

A box has 15.6 ounces of cereal divided equally into 4 bags.
How much cereal goes in each bag?

 3.9 oz
 

100

Is 7.5 ÷ 3 closer to 2 or 20? Explain.


 Closer to 2 (7.5 ÷ 3 = 2.5)
 

200

Divide: 9.81 ÷ 3


 3.27



200

8.54 ÷ 100 = ?

 0.0854

200

Which compatible numbers work best for:
122 ÷ 6

120 ÷ 6 = 20

200

Jaden ran 8.4 miles in 3 equal laps. How long was each lap?


 2.8 miles

200

A bundle of 9 notebooks weighs 13.5 ounces.
What is the weight of 1 notebook, and is the answer reasonable?


 1.5 ounces; reasonable because 1.5 × 9 = 13.5

300

Find the quotient: 14.4 ÷ 0.6


 24


300

Which is greater?
6.35 ÷ 10 or 6.35 ÷ 100

 6.35 ÷ 10 (because it is larger)
 

300

Estimate:
61.3 ÷ 7
(round to numbers that divide easily)

 63 ÷ 7 = 9

300

A poster has an area of 57.6 sq ft and a width of 6.4 ft.What is the length?


 9 ft

300

Estimate AND solve:
72.16 ÷ 8


Estimate: 72 ÷ 8 = 9 → Exact: 9.02

400

A ribbon is 22.5 meters long. If it is cut into 5 equal pieces, how long is each piece?


 4.5 meters


400

Fill in the exponent:
7,200 ÷ 10ⁿ = 72

n = 2
(7,200 ÷ 10² = 72)
 

400

Which is the BEST estimate for
96.2 ÷ 11?
A) 100 ÷ 10
B) 90 ÷ 12
C) 110 ÷ 11
D) 80 ÷ 8

A:100 ÷ 10 = 10 (best estimate)

400

A total of 96.8 ounces of juice is poured equally into 8 bottles.How much is in each?


 12.1 oz

400

If 5 pounds of nuts cost $12.50,
how much do 12 pounds cost?


Unit rate: 12.50 ÷ 5 = 2.50 per lb
12 × 2.5 = $30

500

Divide: 45 ÷ 0.75

500: 60


500

Explain how the decimal moves in:
54.9 ÷ 10³

Move decimal 3 places left → 0.0549

500

A school has 342 pencils to divide among 9 classes.
Estimate how many each class will get.


 342 ÷ 9 ≈ 360 ÷ 9 = 40

500

A baker uses 13.5 cups of flour to make 6 identical loaves of bread. How much flour is in each loaf?

 2.25 cups

500

A water tank holds 96 liters. One bottle holds 0.4 liters. How many bottles can be filled? Explain if your answer is reasonable.

96 ÷ 0.4 = 240 bottles
Reasonable: 0.4 is close to ½ → you’d expect about double the number → close to 200

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