Properties of Multiplication — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Grade 3 distributive: 8 x 9 = 8 x 10 - 8 x 1 = 80 - 8 = 72.
Grade 3: 80 - 8 = 72 using subtraction distribution.
2. Grade 3 distributive: 7 x 8 = 7 x 4 + 7 x 4 = 28 + 28 = 56.
Grade 3: 7 x (4 + 4) = 28 + 28 = 56.
3. Grade 3 distributive: 6 x 7 = 6 x 5 + 6 x 2 = 30 + 12 = 42.
Grade 3: 30 + 12 = 42 using distribution.
4. Grade 3: 9 x 6 = 9 x 3 + 9 x 3 = 27 + 27 = 54.
Grade 3: 27 + 27 = 54.
5. Grade 3 distributive: 4 x 12 = 4 x 10 + 4 x 2 = 40 + 8 = 48.
Grade 3: 40 + 8 = 48 by distribution.
6. Grade 3: 5 x 9 = 5 x 10 - 5 x 1 = 50 - 5 = 45.
Grade 3: 50 - 5 = 45 via distributive subtraction.
7. Grade 3 distributive: 8 x 8 = 8 x 4 + 8 x 4 = 32 + 32 = 64.
Grade 3: 32 + 32 = 64 via distribution.
8. Grade 3: 7 x 9 = 7 x 10 - 7 x 1 = 70 - 7 = 63.
Grade 3: 70 - 7 = 63 using distribution.
9. Grade 3: 6 x 8 = 6 x 4 + 6 x 4 = 24 + 24 = 48.
Grade 3: 24 + 24 = 48 via distribution.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Grade 3: 8 x 9 split as 8 x 10 - 8
→ 72
72
Grade 3: 7 x 8 split as 7 x 4 + 7 x 4
→ 56
56
Grade 3: 6 x 7 split as 6 x 5 + 6 x 2
→ 42
42
Grade 3: 5 x 12 split as 5 x 10 + 5 x 2
→ 60
60
Grade 3 distributive: 72, 56, 42, 60 match each splitting.