Simplifying Numerical Expressions

The Distributive Property

Formative Assessment

Summary of the Math: The Distributive Property

Read and Discuss

Distributive Property

a ⋅ (b + c) = (ab) + (ac), where a, b, and c can be any numbers, including negative numbers.

Examples:

−5(2 + 3) = (−5 ⋅ 2) + (−5 ⋅ 3)

= −10 + (−15)

= −25

7 − (3 + 5) = 7 + (−1)(3 + 5)

= 7 − 3 − 5

= −1

Hint:

Can you:

  • Give an example that shows how you can use the distributive property to evaluate a multiplication problem?
  • Describe how you can use the distributive property to evaluate expressions, particularly expressions with negative numbers?