Properties of Integers Worksheet
Explore and apply the properties of integers including commutative, associative, distributive, identity, and inverse properties with this grade 7 math worksheet.
Includes
Standards
Topics
Properties of Integers
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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. Which property states that changing the order of numbers in addition or multiplication does not change the result?
Associative Property
Commutative Property
Distributive Property
Identity Property
2. Which property is illustrated by the equation: 5 × (2 + 3) = (5 × 2) + (5 × 3)?
Commutative Property
Associative Property
Distributive Property
Identity Property
3. The property states that for any integer 'a', a + 0 = a.
4. The property states that for any integer 'a', a + (-a) = 0.
5. The Associative Property applies to both addition and subtraction.
True
False
6. The product of a positive integer and a negative integer is always a negative integer.
True
False
7. Use the number line below to demonstrate the addition of -3 and 7. Explain your steps.
8. Explain the difference between the identity property of addition and the identity property of multiplication.
Match each property with its example.
9. Commutative Property of Addition
a. 4 × (2 + 3) = (4 × 2) + (4 × 3)
10. Associative Property of Multiplication
b. 7 + 0 = 7
11. Distributive Property
c. 5 + 3 = 3 + 5
12. Identity Property of Addition
d. (2 × 3) × 4 = 2 × (3 × 4)