Answer Keys: Properties of Multiplication

Grade 3 Mathematics | FAST Success Kit

Teacher/Parent Resource: This page contains all answers. Keep separate from student materials.
Student Concept Worksheet Answers
1. Commutative
3 × 7 = 21
2. Distributive (5×12)
10, 2, 50, 10, 60
3. Associative (4×5×2)
20, 40 / 10, 40
4. Property (9×1=9)
Identity Property
5. Distributive (7×13)
7×(10+3) = (7×10)+(7×3) = 70+21 = 91
Practice Worksheet Answers (30 Problems)
Part A: Commutative Property
1.
28
2.
27
3.
8
4.
6
5.
7
6.
40
Part B: Identity and Zero Properties
7.
9
8.
0
9.
15
10.
0
11.
42
12.
0
Part C: Associative Property
13. (2×3×5)
6, 30 / 15, 30
14. (4×2×5)
8, 40 / 10, 40
15.
2
16.
4
Part D: Distributive Property
17. (4×13)
10, 3, 40, 12, 52
18. (6×12)
10, 2, 60, 12, 72
19. (5×14)
4, 50+20, 70
20. (7×15)
5, 70+35, 105
Part E: Name That Property
21.
Identity
22.
Commutative
23.
Associative
24.
Zero
25.
Distributive
26.
Identity
Part F: Word Problems
27.
Commutative, 48
28.
Associative
29.
7×12 = 7×10+7×2 = 70+14 = 84 desks
30.
0 cookies, Zero Property
FAST Practice Quiz Answers
1
B. Commutative Property
The order of factors changed (6×8 to 8×6) but the product stays the same.
2
B. 5 × 0 = 0
Zero property: any number times zero equals zero.
3
A. (4 × 10) + (4 × 3)
Break 13 into 10 + 3, then multiply each part by 4. That's distributive!
4
C. Associative Property
The grouping changed (parentheses moved) but the answer stays the same.
5
63
Commutative property: 7 × 9 = 9 × 7 = 63
6
84
6 × 14 = 6 × (10 + 4) = (6 × 10) + (6 × 4) = 60 + 24 = 84
7
C. 15
Identity property: 15 × 1 = 15. Multiplying by 1 gives the same number.
8
B. Multiply the result by 4
(5 × 2) = 10, then 10 × 4 = 40. Continue multiplying, not adding!
9
112
70 + 42 = 112
10
D. Zero Property; 0 pencils
8 × 0 = 0. Zero pencils in each box means zero total.

Scoring Guide

Assessment Total Points Proficient (70%+) Focus Area if Struggling
Student Concept Worksheet 5 points 4+ correct Review property definitions with examples
Practice Worksheet 30 points 21+ correct Part D errors: practice distributive step-by-step
FAST Practice Quiz 10 points 7+ correct Focus on identifying properties by name

Common Errors: Confusing commutative (order) with associative (grouping); forgetting to multiply BOTH parts in distributive; confusing identity (×1) with zero (×0) properties.

FAST Success Kit | Grade 3 | FL B.E.S.T. Standard: MA.3.AR.1.1