Math worksheet for practicing division using the distributive property.

We are asked to solve each division problem using the distributive property of division.

The distributive property of division means:
If you have a number like 160 ÷ 8, and you break 160 into two (or more) parts that add up to 160 — say, 80 + 80 — then:
160 ÷ 8 = (80 + 80) ÷ 8 = 80 ÷ 8 + 80 ÷ 8.

In practice, for these problems, we’re expected to split the dividend (the big number) into two parts that are easy to divide by the divisor.

Let’s go one by one.

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1) 160 ÷ 8

Break 160 into two numbers divisible by 8.
Good choices: 80 + 80, or 120 + 40, or 100 + 60? Let’s pick 80 + 80 (both divisible by 8).
But looking at the blanks:
_ ÷ 8 =
_ ÷ 8 =
So we need two parts that sum to 160.

Try: 80 and 80
80 ÷ 8 = 10
80 ÷ 8 = 10
Total = 20 → correct, since 160 ÷ 8 = 20.

Alternatively, maybe they expect 100 + 60?
100 ÷ 8 = 12.5 — not whole. So better to use multiples of 8.

How about 120 + 40?
120 ÷ 8 = 15
40 ÷ 8 = 5
15 + 5 = 20 ✔️

Yes! That gives whole numbers. So:
120 ÷ 8 = 15
40 ÷ 8 = 5
Answer: 20

So fill in:
120 ÷ 8 =
40 ÷ 8 =

→ Answers: 15, 5, total 20

But the worksheet only asks for the final answer per problem (in the Answers column), so for #1, answer is 20.

Let’s do all systematically:

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1) 160 ÷ 8
Split as 120 + 40
120 ÷ 8 = 15
40 ÷ 8 = 5
15 + 5 = 20

2) 60 ÷ 3
Split as 30 + 30
30 ÷ 3 = 10
30 ÷ 3 = 10
Total = 20
(Or 45 + 15: 45÷3=15, 15÷3=5 → 20 — same.)

3) 57 ÷ 3
Split: 30 + 27
30 ÷ 3 = 10
27 ÷ 3 = 9
10 + 9 = 19

Check: 3 × 19 = 57 ✔️

4) 114 ÷ 6
Try 60 + 54
60 ÷ 6 = 10
54 ÷ 6 = 9
10 + 9 = 19

Check: 6 × 19 = 114 ✔️

5) 102 ÷ 6
Split: 60 + 42
60 ÷ 6 = 10
42 ÷ 6 = 7
10 + 7 = 17

Check: 6 × 17 = 102 ✔️

6) 105 ÷ 7
Split: 70 + 35
70 ÷ 7 = 10
35 ÷ 7 = 5
10 + 5 = 15

Check: 7 × 15 = 105 ✔️

7) 120 ÷ 6
Split: 60 + 60
60 ÷ 6 = 10
60 ÷ 6 = 10
Total = 20

(Or 120 is obvious: 120 ÷ 6 = 20)

8) 144 ÷ 9
Split: 90 + 54
90 ÷ 9 = 10
54 ÷ 9 = 6
10 + 6 = 16

Check: 9 × 16 = 144 ✔️

9) 85 ÷ 5
Split: 50 + 35
50 ÷ 5 = 10
35 ÷ 5 = 7
10 + 7 = 17

Check: 5 × 17 = 85 ✔️

10) 112 ÷ 7
Split: 70 + 42
70 ÷ 7 = 10
42 ÷ 7 = 6
10 + 6 = 16

Check: 7 × 16 = 112 ✔️

Now list all answers (1 to 10):

1. 20
2. 20
3. 19
4. 19
5. 17
6. 15
7. 20
8. 16
9. 17
10. 16

Double-check each:

1. 160 ÷ 8 = 20 ✔
2. 60 ÷ 3 = 20 ✔
3. 57 ÷ 3 = 19 ✔
4. 114 ÷ 6 = 19 ✔ (6×19=114)
5. 102 ÷ 6 = 17 ✔ (6×17=102)
6. 105 ÷ 7 = 15 ✔ (7×15=105)
7. 120 ÷ 6 = 20 ✔
8. 144 ÷ 9 = 16 ✔ (9×16=144)
9. 85 ÷ 5 = 17 ✔ (5×17=85)
10. 112 ÷ 7 = 16 ✔ (7×16=112)

All correct.

Final Answer:
20, 20, 19, 19, 17, 15, 20, 16, 17, 16