Properties of Multiplication — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 3, an array of 6 x 8 can be split into 6 x 5 and 6 x 3.
6 x 8 = 6 x 5 + 6 x 3 = 30 + 18 = 48, a Grade 3 distributive example.
2. A Grade 3 student splits 7 x 9 into 7 x 10 - 7 x 1.
7 x 9 = 70 - 7 = 63 using the distributive property in Grade 3.
3. In Grade 3, 8 x 6 = 8 x 3 + 8 x 3.
8 x 6 = 24 + 24 = 48 by distributing in Grade 3.
4. A Grade 3 learner computes 5 x 8 as 5 x 4 + 5 x 4.
5 x 8 = 20 + 20 = 40, a Grade 3 distributive split.
5. In Grade 3, 9 x 7 = 9 x 5 + 9 x 2.
9 x 7 = 45 + 18 = 63 by the distributive property in Grade 3.
6. A Grade 3 student splits 6 x 11 into 6 x 10 + 6 x 1.
6 x 11 = 60 + 6 = 66 using distributive thinking in Grade 3.
7. In Grade 3, 4 x 9 = 4 x 10 - 4 x 1.
4 x 9 = 40 - 4 = 36, a Grade 3 distributive shortcut.
8. A Grade 3 array of 7 x 6 splits into 7 x 3 + 7 x 3.
7 x 6 = 21 + 21 = 42 by the distributive property in Grade 3.
9. In Grade 3, 8 x 9 = 8 x 10 - 8 x 1.
8 x 9 = 80 - 8 = 72, a strong Grade 3 distributive move.
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: 7 x 9 as 7 x 10 - 7 x 1
→ 63
63
Grade 3: 8 x 6 as 8 x 3 + 8 x 3
→ 48
48
Grade 3: 9 x 7 as 9 x 5 + 9 x 2
→ 63 also
63 also
Grade 3: 8 x 9 as 8 x 10 - 8 x 1
→ 72
72
Grade 3 distributive splits: 70-7=63, 24+24=48, 45+18=63, 80-8=72.