Grade 9 Mathematical Properties Worksheet

Grade 9 Mathematical Properties

Read each question carefully and provide your answer in the space provided. Show all your work for full credit.

1. Which property is illustrated by the equation 5 + (3 + 2) = (5 + 3) + 2?

2. The expression 4(x + 3) can be rewritten as 4x + 12 using which property?

3. The   Property states that changing the order of the numbers does not change the sum or product.

4. The number 0 is the   identity for addition.

5. The   of a number is the number that, when added to the original number, results in zero.

6. The equation (2 × 5) × 7 = 2 × (5 × 7) demonstrates the Commutative Property of Multiplication.

7. For any real number 'a', a + (-a) = 0 is an example of the Inverse Property of Addition.

8. Explain the difference between the Commutative Property and the Associative Property.

9. Provide an example of how the Distributive Property can simplify a calculation.

Match each property with its mathematical example.