Properties of numbers

1. 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 + 20 28 - 8x OR -8x + 28 -5x + -1(12x + 4) -5x + -1(12x) + -1(4) -5x -12x - 4 -17x - 4 4(8 + -2n) + 5n 4(8) + 4(-2n) + 5n 32 -8n + 5n 32 - 3n

2. 22. 6h + 5(h - 5)

6. Properties of Numbers Co mmutative Property Changing the order of the values you ___________________________ does not change the answer. Which operations work? 1. 8 / 4 = 4 / 8 2. 3 * 5 = 5 * 3 3. 5 + 4 = 4 + 5 4. 6 - 2 = 2 - 6 add or multiply

7. 6 * 5 = 5 * 6 Commutative Property of Multiplication 6 + 5 = 5 + 6 Commutative Property of Addition

8. A ssociative Property Changing 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

9. 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

10. 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

11. 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