The distributive property

The distributive property

https://www.youtube.com/watch?v=v-6MShC82ow

Math Antics: The Distributive Property

What is the distributive property?

• "To “distribute” means to divide something or give a share or part of something.

  According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together."

• source: splashlearn.com

The Distributive Property Uses Parentheses

-Remember a number or letter right next to parentheses means to MULTIPLY. In this case you come up with the same answer both ways.

Use of Variables:

• Many times, problems using the distributive property use variables

Multiple Choice

Solve: x(5 + 2)

• 5x + 2

• 5x + 2x

Variables x Variables

• Ex.) a(a-2)

• a multiplied times a equals a²

• The final answer is: a²-2a

• We add an exponent for every time we multiply a

• ex.) a(a² -2)= a³-2a²

Multiple Choice

What is y(2 +y)

• 2y + y²

• 2y + y

Negative Numbers/Variables

• Negative numbers x positive numbers are always negative. Negative numbers are variables include anything with the subtraction symbol in front of it. ex.) 2(5x-2)= 10x -4

• Negative Numbers/Variables x Negative Numbers/Variables are always POSITIVE (again incluces subtraction sign). ex.) -2(5x -2)= -10x + 4

Multiple Choice

• -24x+36
• 24x+36
• -24x+32
• 24x-32

Multiple Choice

• x-3
• -x+3
• -x-3
• x+3

Poll

How confident are you with the distributive property?

• Really confident

• somewhat confident

• kind of get it

• I have no idea what's going on

Multiple Choice

A negative number times a negative number always equals a_.

• positive number

• negative number

Multiple Choice

A negative number/variable times a positive number/variable equals a_

• negative number

• positive number

Multiple Choice

• 24x-1
• 24x-1
• -24x-8
• 24x-8

Multiple Choice

• -6x+12
• -6x-12
• 6x-12
• 6x+12

Multiple Choice

• 5x-8
• -5x-8
• -5x+8
• 5x+8

Multiple Choice

• 50x+25
• -50x-25
• -50x+25
• 50x-5

Multiple Choice

• -16x+32
• 16x-32
• -16x-32
• 16x-32