Section 1 2 Properties of Real Numbers Commutative

Section 1 -2 Properties of Real Numbers

Commutative property • Order doesn’t matter! Examples: Of Addition: Of Multiplication:

associative property • Order stays the same, but the terms are regrouped. Examples: Of Addition: Of Multiplication:

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

multiplicative identity • Multiply by one so the term does not change Example:

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

Distributive property • Multiply to each term inside parenthesis Examples:

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

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

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

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

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: