Pre-Algebra Worksheet
Properties of Numbers
Commutative, Associative, & Identity Properties
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Properties of Numbers
- Commutative, Associative, and Identity Properties |
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This worksheet contains problems where students must use and identify
properties such as the commutative property of addition, associative property of
addition, commutative property of multiplication, associative property of
multiplication, additive inverse, and multiplicative inverse.
Students will match equations with correct properties and use properties to
evaluate statements mentally. |
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Sample Problems from Worksheet (diagrams not shown) |
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Match each equation with the correct property.
1) (3 + 7) + 2 = 3 + (7 + 2)
2) a · b = b · a
3) 5 + 0 = 5
4) 2 + 8 = 8 + 2
5) (xy)z = x(yz)
6) m · 1 = m
7) a + b = b + a
8) (7 · 3)2 = 7(3 · 2)
9) 5 · 1 = 5
a. Commutative Property of Addition
b. Associative Property of Addition
c. Commutative Property of Multiplication
d. Associative Property of Multiplication
e. Additive Identity
f. Multiplicative Identity
Use mental math to evaluate.
13) 5 · 3 · 10
14) 3 + 155 + 7
15) 10 · 27 · 10
16) 35 + 8 + 15
17) 25 · 7 · 4
18) 43 + 15 – 3 + 5
19) 111 + 8 + 9
20) 155 + 18 – 5 + 2
21) 4 · 6 · 25 · 2
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