Let’s solve each problem using the
commutative property of multiplication.
That means:
> You can swap the order of the numbers being multiplied, and the answer stays the same.
Example: 3 × 4 = 4 × 3
So for each equation, we just need to match the numbers on both sides — whichever number is missing on one side should be the one that’s already on the other side (but in swapped position).
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Let’s go step by step:
① 8 × 12 = 12 × □
→ Swap 8 and 12 → so missing number is
8
② 6 × □ = 10 × 6
→ Right side has 10 and 6 → left side has 6 and ? → so ? must be
10
③ 11 × □ = 10 × 11
→ Right side: 10 and 11 → left side: 11 and ? → so ? =
10
④ 13 × □ = 15 × 13
→ Right side: 15 and 13 → left side: 13 and ? → so ? =
15
⑤ 15 × 25 = 25 × □
→ Left: 15 and 25 → right: 25 and ? → so ? =
15
⑥ □ × 12 = 12 × 5
→ Right: 12 and 5 → left: ? and 12 → so ? =
5
⑦ 22 × □ = 33 × 22
→ Right: 33 and 22 → left: 22 and ? → so ? =
33
⑧ □ × 7 = 7 × 11
→ Right: 7 and 11 → left: ? and 7 → so ? =
11
⑨ 4 × 5 = □ × 4
→ Left: 4 and 5 → right: ? and 4 → so ? =
5
⑩ □ × 6 = 6 × 8
→ Right: 6 and 8 → left: ? and 6 → so ? =
8
□ × 28 = 21 × 28
→ Right: 21 and 28 → left: ? and 28 → so ? =
21
⑫ 12 × 15 = □ × 12
→ Left: 12 and 15 → right: ? and 12 → so ? =
15
⑬ 9 × □ = 18 × 9
→ Right: 18 and 9 → left: 9 and ? → so ? =
18
⑭ 8 × 3 = 3 × □
→ Left: 8 and 3 → right: 3 and ? → so ? =
8
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All answers checked and verified using commutative property.
Final Answer:
① 8
② 10
③ 10
④ 15
⑤ 15
⑥ 5
⑦ 33
11
⑨ 5
⑩ 8
⑪ 21
⑫ 15
⑬ 18
⑭ 8
Parent Tip: Review the logic above to help your child master the concept of commutative property of multiplication worksheet pdf.
