Distributive Property Multiplication worksheet for practicing breaking down multiplication problems using the distributive property.

Let’s solve each problem using the distributive property. That means we break the big number into hundreds, tens, and ones — then multiply each part by the single digit, and add them up.

We’ll go one by one.

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Problem 1: 141 × 5

Break 141 into:
→ 100 + 40 + 1

Now multiply each part by 5:

= (100 × 5) + (40 × 5) + (1 × 5)
= 500 + 200 + 5
= 705

So fill in the blanks:

141 × 5 = ___100___ × 5 + ___40___ × 5 + ___1___ × 5
= 500 + 200 + 5
= 705

✔ Correct as shown.

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Problem 2: 645 × 6

Break 645 into:
→ 600 + 40 + 5

Multiply each by 6:

= (600 × 6) + (40 × 6) + (5 × 6)
= 3600 + 240 + 30
= 3870 ← matches given answer

Fill in blanks:

645 × 6 = ___600___ × 6 + ___40___ × 6 + ___5___ × 6
= 3600 + 240 + 30
= 3870

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Problem 3: 433 × 8

Break 433 into:
→ 400 + 30 + 3

Multiply each by 8:

= (400 × 8) + (30 × 8) + (3 × 8)
= 3200 + 240 + 24
= 3464

Fill in blanks:

433 × 8 = ___400___ × ___8___ + ___30___ × ___8___ + ___3___ × ___8___
= 3200 + 240 + 24
= 3464

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Problem 4: 833 × 2

Break 833 into:
→ 800 + 30 + 3

Multiply each by 2:

= (800 × 2) + (30 × 2) + (3 × 2)
= 1600 + 60 + 6
= 1666

Fill in blanks:

833 × 2 = ___800___ × ___2___ + ___30___ × ___2___ + ___3___ × ___2___
= 1600 + 60 + 6
= 1666

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Problem 5: 196 × 4

Break 196 into:
→ 100 + 90 + 6

Multiply each by 4:

= (100 × 4) + (90 × 4) + (6 × 4)
= 400 + 360 + 24
= 784

Fill in blanks:

196 × 4 = ___100___ × ___4___ + ___90___ × ___4___ + ___6___ × ___4___
= 400 + 360 + 24
= 784

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Problem 6: 967 × 8

Break 967 into:
→ 900 + 60 + 7

Multiply each by 8:

= (900 × 8) + (60 × 8) + (7 × 8)
= 7200 + 480 + 56
= 7736

Fill in blanks:

967 × 8 = ___900___ × ___8___ + ___60___ × ___8___ + ___7___ × ___8___
= 7200 + 480 + 56
= 7736

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Final Answer:

141 × 5 = 100 × 5 + 40 × 5 + 1 × 5 = 500 + 200 + 5 = 705
645 × 6 = 600 × 6 + 40 × 6 + 5 × 6 = 3600 + 240 + 30 = 3870
433 × 8 = 400 × 8 + 30 × 8 + 3 × 8 = 3200 + 240 + 24 = 3464
833 × 2 = 800 × 2 + 30 × 2 + 3 × 2 = 1600 + 60 + 6 = 1666
196 × 4 = 100 × 4 + 90 × 4 + 6 × 4 = 400 + 360 + 24 = 784
967 × 8 = 900 × 8 + 60 × 8 + 7 × 8 = 7200 + 480 + 56 = 7736