Let’s solve each problem step by step using the distributive property.
The distributive property says:
a × (b + c) = (a × b) + (a × c)
or if the bigger number is first:
(b + c) × a = (b × a) + (c × a)
We break the larger number into two parts (usually tens and ones), multiply each part by the other number, then add the results.
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Problem ①: 12 × 4
Break 12 into 10 + 2 → already done.
= (10 + 2) × 4
= (10 × 4) + (2 × 4) ← fill in the blank:
4
= 40 + 8
=
48
✔ Check: 12 × 4 = 48 — correct.
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Problem ②: 4 × 14
Break 14 into 10 + 4 → so:
= 4 × (10 + 4) ← fill in first blank:
10
Now apply distributive property:
= (4 × 10) + (4 × 4) ← fill blanks:
4,
10,
4,
4
= 40 + 16
=
56
✔ Check: 4 × 14 = 56 — correct.
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Problem ③: 3 × 18
Break 18 into 10 + 8 → or maybe 9+9? But usually we use tens and ones → 10 + 8.
So:
= 3 × (10 + 8) ← fill blanks:
3,
10,
8
Then:
= (3 × 10) + (3 × 8) ← fill blanks:
3,
10,
3,
8
= 30 + 24
=
54
✔ Check: 3 × 18 = 54 — correct.
*(Note: You could also do 3×(9+9)=27+27=54, but standard method uses 10+8 for consistency with place value.)*
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Problem ④: 22 × 8
Break 22 into 20 + 2 → best choice.
= (20 + 2) × 8 ← fill blanks:
20,
2,
8
Then:
= (20 × 8) + (2 × 8) ← fill blanks:
20,
8,
2,
8
= 160 + 16
=
176
✔ Check: 22 × 8 = 176 — correct.
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Problem ⑤: 4 × 25
Break 25 into 20 + 5 → good choice.
= 4 × (20 + 5) ← fill blanks:
4,
20,
5
Then:
= (4 × 20) + (4 × 5) ← fill blanks:
4,
20,
4,
5
= 80 + 20
=
100
✔ Check: 4 × 25 = 100 — correct.
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Problem ⑥: 18 × 6
Break 18 into 10 + 8 → standard.
= (10 + 8) × 6 ← fill blanks:
10,
8,
6
Then:
= (10 × 6) + (8 × 6) ← fill blanks:
10,
6,
8,
6
= 60 + 48
=
108
✔ Check: 18 × 6 = 108 — correct.
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Final Answer:
① 48
② 56
③ 54
④ 176
⑤ 100
⑥ 108
Parent Tip: Review the logic above to help your child master the concept of distributive law of multiplication worksheet.
![Distributive Property Multiplication [D] Worksheet for 4th - 5th ...](/images2/distributive-law-of-multiplication-worksheet/distributive-law-of-multiplication-worksheet-12.jpg)