Order of Operations PEMDAS Operations Operations mean things

Order of Operations PEMDAS

Operations • "Operations" mean things like add, subtract, multiply, divide, squaring, etc. If it isn't a number it is probably an operation. • But, when you see something like. . . 7 + (6 × 52 + 3) • What part should you calculate first? • Start at the left and go to the right? Or go from right to left? • Warning: Calculate them in the wrong order, and you will get a wrong answer! • The order of operations is a set of rules to make sure that everyone will get the same answer when calculating a computation problem.

PEMDAS Parentheses First ( ) 6 × (5 + 3) = 6× 8 = 48 6 × (5 + 3) 33 = 30 + 3 = Exponents Second n² 5 × 2² = 5 × 4 = 20 5 × 2² = 100

PEMDAS Multiply & Divide before you 2+5× 3 = 2+5× 3 2 + 15 = 17 = 7 × 3 = 21 Add & Subtract 30 ÷ 5 × 3 = 6 × 3 = 18 30 ÷ 5 × 3 = 30 ÷ 15 = 2 Otherwise just go left to right

How Do I Remember It All? PEMDAS! P Parentheses first E Exponents second MD Multiplication and Division (left-to-right) AS Addition and Subtraction (left-to-right) • Divide and Multiply rank equally (and go left to right). • Add and Subtract rank equally (and go left to right)

So do it this way:

You can remember by saying “Please Excuse My Dear Aunt Sally”.

1) 7 + 9 x (3 + 8) 6) 22 ÷ 2 x 3² 2) 27 ÷ (3 + 6) x 5 – 12 7) 26 + 6² ÷ 4 3) 55 ÷ 11 + 7 x (2 + 14) 8) 15 - 2³ ÷ 4 4) 5³ - 12 ÷ 3 9) 44 – 14 ÷ 2 x 4 + 6 5) 28 – 4 x 3 ÷ 6 + 4 10) 42 – (3 x 4) ÷ 6