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Properties of Real NumbersSection 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 changeExample:
multiplicative identityMultiply by one so the term does not change Example:
Multiplicative property of zeroAnything times zero equals zero! Example:
Distributive propertyMultiply to each term inside parenthesis Examples:
Substitution property of equalityReplacing an expression by another expression of the same value Example:
Symmetric property of equalitySwitch sides! (do not change order of terms on each side) Examples: If then If then
Reflexive property of equalitySame thing (same order) on each side of the equal sign Examples:
Transitive property of equalityIf , then Example: If , then
Addition property of equalityAdd the same thing on both sides of an equation. Example:
Subtraction property of equalitySubtract the same thing on both sides of an equation. Example:
multiplication property of equalityMultiply the same thing on both sides of an equation. Example:
division property of equalityDivide the same thing on both sides of an equation. Example:
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