Properties of Real Numbers Section 1-2 Properties of Real Numbers

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

Order stays the same, but the terms are regrouped. 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 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: