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O RDER OF O PERATIONS INCLUDING ABSOLUTE VALUE, SQUARE ROOTS & CUBE ROOTS SOL A.1
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V OCABULARY A power has two parts, a base and an exponent. The exponent tells you how many times to use the base as a factor. You read the power 2 3 as “two to the third power” or “two cubed”. You read 5 2 as “five to the second power” or “five squared.” You simplify a numerical expression when you replace it with its single numerical value. Example: the simplest form of 2 ∙ 8 is 16. You evaluate an algebraic expression by replacing each variable with a given number. Then simplify the expression using the order of operations.
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O RDER OF O PERATION “P EMDAS ” PleaseParenthesis (), { }, [ ], │ │ ExcuseExponents a b My Multiplication & division (left to right) Dear Aunt Addition & Subtraction (left to right) Sally
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P ERFORM THE INDICATED OPERATIONS : 24 ÷ 3 · 4 – 2 5 ÷ 2 3 ∙ 7
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S IMPLIFY 5 + 7(9-12)
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S IMPLIFY -(-2) 3 (-0.5) 2 (0.1) 2
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S IMPLIFY 5 – 4[3 + 2(6 – 13)]
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S IMPLIFY 48 – 4[32 – (5 – 11) 2 + 2] 3 ÷ 2(-3)
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S IMPLIFY 3(7-5) 3 ÷ 6 + (3 – 8) __________________ 5 - │ -4 │ - 3 3 ÷9 ∙ 3
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