This document provides definitions and examples of key mathematical properties used to solve problems involving addition, subtraction, multiplication, and division. It defines terms like sum, difference, product, and quotient, and covers properties such as the distributive property, commutative property, associative property, identity properties, zero property of multiplication, multiplicative inverse, and additive inverse. Examples are provided to illustrate how to use these properties to evaluate and simplify expressions.

1. Chapter 1 Section 1-6

2. 1.Objective: Use addition and multiplication properties to solve problems.

3. 2. Equivalent expressions –means they have the same value.

4. 3. Sum – answer in addition4. Difference – answer in subtraction5. Product – answer in multiplication6. Quotient – answer in division

5. 7. Distributive property –(single mom and the kids)Combine addition and multiplication.Example:2(x + y) = 2x + 2y

6. 8. Commutative Property:The order in which two numbers are added or multiplied does not change the sum or product. Examples:3+1=1+3 3x1=1x3

7. 9. Associative Property: The way in which three numbers are grouped when they are added or multiplied does not change their sum or product. Examples:1 + (2 + 3) = (1 + 2) + 31 x (2 x 3) = (1 x 2) x 3

8. 10. Identity properties:The sum of an addend and 0 is the addend.Example: 5 + 0 = 5 The product of a factor and 1 is the factor.Example: 5 x 1 = 5

9. 11. Zero Property of Multiplication ( or multiplicative property of zero): Any number times zero is zero. Example: 7 x 0 = 0

10. 12. Multiplicative Inverse (Inverse of multiplication)Any number times its reciprocal is one. Example: 2 x 𝟏𝟐 = 1

11. 13. Additive inverse:Any number plus its opposite is zero. Example: -4 + 4 = 0

12. 8 x ( 1 x 4) = (8 x 1) x 4AssociativeZero property of multiplication8 x 0 = 0distributivecommutative6a +6b = 6 (a + b) 6 + 9 = 9 + 6

13. Touch Down!!!!

14. NameDate:Period:Pg 32 (4-16 and 20-26)Classwork PS 1-6Homework: Page 32 ( 4-16 & 20-26 all)Don’t forget to put the correct heading on your paper.