## Order of Arithmetic Operations

For a given arithmetic operation, the following order should be observed when solving:

1) Parentheses

2) Exponents (and Roots)

3) Multiplication & Division (In order from left to right)

4) Addition & Subtraction (In order from left to right)

Example #1:

Compute 4 − 8 x (3 + 2) + 4

Step 1: Compute sum within parentheses

= 4 − 8 x 5 + 4

Step 2: Compute exponent

= 4 − 8 x 5 + 16

Step 3: Compute product

= 4 − 40 + 16

Step 4: Compute difference

= −36 + 16

^{2}Step 1: Compute sum within parentheses

= 4 − 8 x 5 + 4

^{2}Step 2: Compute exponent

= 4 − 8 x 5 + 16

Step 3: Compute product

= 4 − 40 + 16

Step 4: Compute difference

= −36 + 16

Step 5: Compute remaining sum to attain answer

= −20

= −20

Example #2:

Compute 5 + 6 / 2 + 9

Step 1: Compute divsion operation

Compute 5 + 6 / 2 + 9

Step 1: Compute divsion operation

= 5 + 3 + 9

Step 2: Compute remaining sum

= 17

Step 2: Compute remaining sum

= 17

(Note: It would be easy to
accidentally provide an incorrect answer of 11/11 = 1 in the event
addition operations were performed first)