Post on 25-Jun-2015
Commutative & Associative Property
1-6
Warm-Ups
1. 5(2 + x) + 7x
2. 3(5 + 2p)
3. 3(a + 2b) - 3a
4. 7m + 6(n + m)
5. (d + 5)f + 2f
Commutative Property
Words: The order in which you add or multiply numbers does not change their sum or product.
Symbols: For any numbers a and b, a + b = b + a and a*b = b*a
Ex: 5 + 6 = 6 + 5, 3*2 = 2*3
Associative Property
Words: The way you group three or more numbers when adding or multiplying does not change their sum or product. Symbols: For any numbers a,b, and a(bc)
Ex: (2 + 4) + 6 = 2 + (4 + 6), (3*5) *4 = 3*(5*4)
Multiplication Properties
Evaluate: 8 * 2 * 3 * 5
You can rearrange and group the factors to make mental calculations easier.
Evaluate: 2 * 8 * 5 * 7
Use the expression three times the sum of 3x and 2y added to five times the sum of x and 4y.
a. Write an algebraic expression for the verbal expression.
b. Simplify the expression.