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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.
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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 If then then
Transitive property • If , then Example: • If , then
Substitution property of equality • Replacing an expression by another expression of the same value Example:
Identity property of Addition • Add zero to a term so the term does not change Example:
Identity property of multiplication • Multiply by one so the term does not change Example:
Property of opposites • Combining opposite numbers results in 0. Examples:
Distributive property • Multiply to each term inside parenthesis Examples:
Multiplicative property of zero • Anything times zero equals zero! Example:
Multiplicative property of -1 • Multiply by the opposite reciprocal so the result is -1 Example:
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: