ORDER OF OPERATIONS INCLUDING ABSOLUTE

VALUE, SQUARE ROOTS & CUBE ROOTS

SOL A.1

VOCABULARY

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 23 as “two to the third power” or “two cubed”. You read 52 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.

ORDER OF OPERATION“PEMDAS”

Please Parenthesis (), { }, [ ], │ │ Excuse Exponents ab

My Multiplication & division (left to right)

Dear Aunt Addition & Subtraction (left to right) Sally

PERFORM THE INDICATED OPERATIONS:

24 ÷ 3 · 4 – 25 ÷ 23 ∙ 7

SIMPLIFY

5 + 7(9-12)

SIMPLIFY

-(-2)3(-0.5)2(0.1)2

SIMPLIFY

5 – 4[3 + 2(6 – 13)]

SIMPLIFY

48 – 4[32 – (5 – 11)2 + 2]3 ÷ 2(-3)

SIMPLIFY

3(7-5)3 ÷ 6 + (3 – 8)__________________5 - │-4│ - 33 ÷9 ∙ 3