Is the answer to 3 x (-2) positive or negative? How do you know?

In this lesson you will learn about the rules for multiplying a positive integer by a negative integer by using the distributive property.

Let’s Review Distributive Property a(b + c) = ab + ac a(b-c) = ab - ac a(b+c) = ab + ac 2(3+4) = 2 x x 4 2 x 7 = = 14

A Common Mistake 2(3 + 5) = 16 2(3 + 5) 2(8) 16 =11

Let’s Review Core Lesson Multiply: 4(-3) 4(3 + -3) = 4(0) 4(3) + = (-3) -12 ?= = (-3) = 0

Let’s Review Core Lesson Multiply: 5(-4) 5(4 + -4) = 5(0) 5(4) + = (-4) -20 ? = = (-4) = 0

In this lesson you have learned about the rules of multiplying a positive integer and a negative integer by using the distributive property.

Let’s Review Guided Practice Multiply: 3(-6)3(-5) = 0 3(6 + -6) = 3(0) = = 0 3(5 + -5) = 3(0) = 0

Let’s Review Extension Activities Apply multiply integers rules using variables only Simplify the expression: a(-b) c(-d)e(-f)

Let’s Review Quick Quiz Multiply: 2(-5)4(-10) 6(-7)5(-9)