Properties of Numbers Study Cards (7th Grade)

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Properties of Numbers Study Cards (7th Grade) by Irene Kim
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Order of Operations P - parentheses E - Exponents M or P - Multiplication or Division, whichever comes first A or S - Addition or Subtraction, whichever comes first
Commutative Property applies to only addition and multiplication, NOT subtraction or division EX: a + b = b + a OR a x b = b x a
Associative Property (the parentheses are grouping symbols) applies only to addition and multiplication, NOT subtraction or division EX: (a + b) + c = a + (b + c) OR (a x b) c = a (b x c)
Distributive Property distributes multiplication over addition EX: a (b + c) = ab + ac OR (ab + ac) = a (b + c) (This does NOT apply to subtraction or division; a, b, and c are rational numbers.)
Evaluating Expressions That Contain Absolute Value: First, calculate any calculations inside the absolute value bars as if they were parentheses. When the expression is reduced to a single value, apply the absolute value.
Absolute Value cannot be distributed, and absolute value is neither positive or negative, but you treat it like a positive
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