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

Let's solve each problem using the distributive property of multiplication, which states:

> $ a \times (b + c) = (a \times b) + (a \times c) $

We’ll break down each number into tens and ones (or other convenient parts), then multiply each part separately and add the results.

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1. $ 72 \times 7 $

Break 72 into 70 + 2:
$$
72 \times 7 = (70 \times 7) + (2 \times 7) = 490 + 14 = 504
$$
✔ Already given.

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2. $ 19 \times 2 $

Break 19 into 10 + 9:
$$
19 \times 2 = (10 \times 2) + (9 \times 2) = 20 + 18 = 38
$$

So:
$$
19 \times 2 = \boxed{10} \times 2 + \boxed{9} \times 2 = \boxed{20} + \boxed{18} = 38
$$

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3. $ 23 \times 9 $

Break 23 into 20 + 3:
$$
23 \times 9 = (20 \times 9) + (3 \times 9) = 180 + 27 = 207
$$

So:
$$
23 \times 9 = \boxed{20} \times \boxed{9} + \boxed{3} \times \boxed{9} = \boxed{180} + \boxed{27} = 207
$$

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4. $ 46 \times 9 $

Break 46 into 40 + 6:
$$
46 \times 9 = (40 \times 9) + (6 \times 9) = 360 + 54 = 414
$$

So:
$$
46 \times 9 = \boxed{40} \times \boxed{9} + \boxed{6} \times \boxed{9} = \boxed{360} + \boxed{54} = \boxed{414}
$$

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5. $ 15 \times 2 $

Break 15 into 10 + 5:
$$
15 \times 2 = (10 \times 2) + (5 \times 2) = 20 + 10 = 30
$$

So:
$$
15 \times 2 = \boxed{10} \times \boxed{2} + \boxed{5} \times \boxed{2} = \boxed{20} + \boxed{10} = \boxed{30}
$$

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6. $ 95 \times 9 $

Break 95 into 90 + 5:
$$
95 \times 9 = (90 \times 9) + (5 \times 9) = 810 + 45 = 855
$$

So:
$$
95 \times 9 = \boxed{90} \times \boxed{9} + \boxed{5} \times \boxed{9} = \boxed{810} + \boxed{45} = \boxed{855}
$$

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7. $ 55 \times 7 $

Break 55 into 50 + 5:
$$
55 \times 7 = (50 \times 7) + (5 \times 7) = 350 + 35 = 385
$$

So:
$$
55 \times 7 = \boxed{50} \times \boxed{7} + \boxed{5} \times \boxed{7} = \boxed{350} + \boxed{35} = \boxed{385}
$$

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8. $ 64 \times 4 $

Break 64 into 60 + 4:
$$
64 \times 4 = (60 \times 4) + (4 \times 4) = 240 + 16 = 256
$$

So:
$$
64 \times 4 = \boxed{60} \times \boxed{4} + \boxed{4} \times \boxed{4} = \boxed{240} + \boxed{16} = \boxed{256}
$$

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9. $ 43 \times 9 $

Break 43 into 40 + 3:
$$
43 \times 9 = (40 \times 9) + (3 \times 9) = 360 + 27 = 387
$$

So:
$$
43 \times 9 = \boxed{40} \times \boxed{9} + \boxed{3} \times \boxed{9} = \boxed{360} + \boxed{27} = \boxed{387}
$$

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✔ Final Answer Summary:

| Problem | Breakdown | Calculation | Result |
|--------|-----------|-------------|--------|
| $ 72 \times 7 $ | $ 70 \times 7 + 2 \times 7 $ | $ 490 + 14 $ | 504 |
| $ 19 \times 2 $ | $ 10 \times 2 + 9 \times 2 $ | $ 20 + 18 $ | 38 |
| $ 23 \times 9 $ | $ 20 \times 9 + 3 \times 9 $ | $ 180 + 27 $ | 207 |
| $ 46 \times 9 $ | $ 40 \times 9 + 6 \times 9 $ | $ 360 + 54 $ | 414 |
| $ 15 \times 2 $ | $ 10 \times 2 + 5 \times 2 $ | $ 20 + 10 $ | 30 |
| $ 95 \times 9 $ | $ 90 \times 9 + 5 \times 9 $ | $ 810 + 45 $ | 855 |
| $ 55 \times 7 $ | $ 50 \times 7 + 5 \times 7 $ | $ 350 + 35 $ | 385 |
| $ 64 \times 4 $ | $ 60 \times 4 + 4 \times 4 $ | $ 240 + 16 $ | 256 |
| $ 43 \times 9 $ | $ 40 \times 9 + 3 \times 9 $ | $ 360 + 27 $ | 387 |

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All problems are solved using the distributive property, breaking numbers into tens and ones, multiplying each part, then adding.

Let me know if you'd like this as a printable version or with step-by-step visuals!