Section 1 3 Properties Commutative property of addition

Section 1 -3 Properties

Commutative property of addition • Order doesn’t matter! –Uses an addition sign Example:

Commutative property of multiplication • Order doesn’t matter! –Uses a multiplication sign Example:

associative property of addition • Order stays the same, but the terms are regrouped. –Uses addition sign throughout problem Example:

associative property of multiplication • Order stays the same, but the terms are regrouped. –Uses multiplication sign throughout problem Example:

Reflexive property • Same thing (same order) on each side of the equal sign Examples:

Symmetric property • Switch sides! (do not change order of terms on each side) Examples: If then

Transitive property • If , then Example: • If then ,

Substitution property of equality • Replacing an expression by another expression of the same value Example:

Additive Identity • Add zero to a term so the term does not change Example:

Additive Inverse • Combining opposite numbers results in 0. Examples:

Multiplicative Identity • Multiply by one so the term does not change Example:

Multiplicative property of zero • Anything times zero equals zero! Example:

Multiplicative Inverse • Multiply by its reciprocal so the result is 1 Example:

Distributive property • Multiply to each term inside parenthesis Examples:

Addition property of equality • Add the same thing on both sides of an equation. Example:

Subtraction property of equality • Subtract the same thing on both sides of an equation. Example:

multiplication property of equality • Multiply the same thing on both sides of an equation. Example:

division property of equality • Divide the same thing on both sides of an equation. Example: