Distributive Property Worksheets with Answer Key - Free Printable

Let’s solve each part step by step using the distributive property.

The distributive property says:
a × (b + c) = a×b + a×c

We are breaking down one multiplication into two smaller multiplications that add up to the same result.

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Top Left: 9 × 4 → broken as 9×2 + 9×2

- 9 × 2 = 18
- 9 × 2 = 18
- 18 + 18 = 36

So blanks:
- First blank under 9×2 → 18
- Second blank under 9×2 → 18
- Bottom blank → 36

✔ Check: 9×4 = 36 → correct.

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Top Right: 9 × 4 → broken as 9×3 + 9×?

We know 3 + ? = 4 → so ? = 1

So it’s 9×3 + 9×1

- 9 × 3 = 27
- 9 × 1 = 9
- 27 + 9 = 36

Blanks:
- After “9 ×” → 1
- Under 9×3 → 27
- Under 9×1 → 9
- Bottom → 36

✔ Check: 27 + 9 = 36 → correct.

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Bottom Left: 6 × 8 → broken as 6×5 + 6×?

5 + ? = 8 → ? = 3

So 6×5 + 6×3

- 6 × 5 = 30
- 6 × 3 = 18
- 30 + 18 = 48

Blanks:
- After “+” → 6 × 3
- Under 6×5 → 30
- Under 6×3 → 18
- Bottom → 48

✔ Check: 6×8 = 48 → correct.

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Bottom Right: 6 × 8 → broken as 6×4 + 6×?

4 + ? = 8 → ? = 4

So 6×4 + 6×4

- 6 × 4 = 24
- 6 × 4 = 24
- 24 + 24 = 48

Blanks:
- After “+” → 6 × 4
- Under first 6×4 → 24
- Under second 6×4 → 24
- Bottom → 48

✔ Check: 24 + 24 = 48 → correct.

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Final Answer:

Top Left:
- Blanks: 18, 18, 36

Top Right:
- Blanks: 1, 27, 9, 36

Bottom Left:
- Blanks: 6 × 3, 30, 18, 48

Bottom Right:
- Blanks: 6 × 4, 24, 24, 48