Agenda Friday, September 25

Do Now:

8 - 2(4x - 10)

-5x - (12x + 4)

4(8 - 2n) + 5n

8 + -2(4x + -10)8 + -2(4x) + -2 (-10)8 - 8x + 2028 - 8x OR -8x + 28

-5x + -1(12x + 4)-5x + -1(12x) + -1(4)-5x -12x - 4-17x - 4

4(8 + -2n) + 5n4(8) + 4(-2n) + 5n32 -8n + 5n32 - 3n

22. 6h + 5(h - 5)

Properties of Numbers

Commutative PropertyChanging the order of the values

you___________________________does not change the answer.

Which operations work?1. 8 / 4 = 4 / 82. 3 * 5 = 5 * 33. 5 + 4 = 4 + 54. 6 - 2 = 2 - 6

add or multiply

6 * 5 = 5 * 6

Commutative Property of Multiplication

6 + 5 = 5 + 6

Commutative Property of Addition

Associative PropertyChanging the grouping of the values

you___________________________does not change the answer.

Which operations work?1. (8 + 3) + 4 = 8 + (3 + 4)

2. (8 * 3) * 4 = 8 * (3 * 4)

3. (8 / 3) / 4 = 8 / (3 / 4)

4. (8 - 3) - 4 = 8 - (3 - 4)

add or multiply

6 * (5 * 4) = (5 * 6) * 4

Associative Property of Multiplication

6 + (5 + 4) = (5 + 6) + 4

Associative Property of Addition

(a * b) * c = a * (b * c)Associative Property of Multiplication

(a + b) + c = a + (b + c)Associative Property of Addition

Identity Property

Of addition: the sum of a number and keeps the identity of the number.

Of multiplication: the product of a number and keeps the identity of the number. one

zero

Which property is demonstrated?

1. 5 * 7 = 7 * 5

2. 1 * x = x

3. 4 + a = a + 4

4. 6(ab) = (6a)b

5. (2 + 3) + 5 = 2 + (3 + 5)

6. 4 + (3 + 7) = (3 + 7) + 4

7. 234 + 0 = 234

8. 5 + 4 + 3 = 4 + 5 + 3

Commutative P of Multiplication

Identity P of Multiplication

Commutative P of Addition

Associative P of Multiplication

Associative P of Addition

Commutative P of Addition

Identity P of Addition

Commutative P of Addition