Download presentation

Presentation is loading. Please wait.

Published byDomenic Jordan Modified over 4 years ago

1
Algebraic Properties: The Rules of Algebra Be Cool - Follow The Rules!

2
Commutative Property of Addition a + b = b + a Number Examples: 3 + 4 = 4 + 3, 7=7 (-2) + 7 = 7 + (-2), 5=5 THIS PROPERTY DOES NOT APPLY TO SUBTRACTION!

3
Commutative Property of Multiplication a*b = b*a or ab = ba Number Examples: (3)(5) = (5)(3) 15=15 (-9)(7) = (7)(-9) (-63) = (-63) THIS PROPERTY DOES NOT APPLY FOR DIVISION!

4
Associative Property of Addition (a + b) + c = a + (b + c) Number Examples: (6 + 7) + 8 = 6 + (7 + 8) 13 + 8 = 6 + 15 21 = 21

5
Associative Property of Multiplication a(bc) = (ab)c Number Examples: 4 [(5)(6)] = [(4)(5)] 6 4 (30) = 20 (6) 120 = 120

6
Distributive Property a(b + c) = ab + ac OR a(b - c) = ab - ac Number Examples: 3(4 + 5) = 3(4) + 3(5) = 12+15 = 27, or 3(9) = 27 7(8 - 3) = 7(8) - 7(3) = 56 - 21 = 35, or 7(5) = 35

7
Distributive Property (factoring) ab+ac=a(b+c) OR ab-ac=a(b-c) Number Examples: 6x + 12 = 6(x+2); 15x +20= 5(3x +4)

8
Additive Identity Property (Adding Zero does not change a number's identity!) a + 0 = a Number Examples: 4 + 0 = 4 (-9) + 0 = (-9)

9
Multiplicative Identity Property (Multiplying by 1 does not change a number's identity!) a * 1 = a Number Examples: 4 * 1 = 4 (-12) * 1 = (-12)

10
Additive Inverse Property a + (-a) = 0 Number Examples: 8 + (-8) = 0 (-11) + 11 = 0

11
Multiplicative Inverse Property a * (1/a) = 1 Number Examples: 7 * (1/7) = 1 (1/3) * 3 = 1 (-8) * (1/-8) = 1

12
Transitive Property If a=b and b=c, then a=c Number Examples: If 8= 10-2 and 7+1=8 then 10-2=7+1

13
Other Properties 1. Addition Property of Zero A+0=a 2. Multiplication Property of Zero: Ax0=0 3. Property of Equality (what you do to one side must be done to the other) 4. Symmetric Property: a=b, b=a

Similar presentations

© 2020 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google