Information on order of operations with roots and exponents
Rules that establish the order in which operations take precedence before other operations. It follows the acronym PEMDAS.
Some people are taught to remember BEDMAS:
Brackets
Exponents
Division and Multiplication, left to right
Addition and Subtraction, left to right
When an expressions includes one or more arithmetic operations, we have to follow rules for the order of operations:
Example:
Example 2: Evaluate this arithmetic expression: (-8)(-5) ÷ 23
Solution:
| (-8)(-5) ÷ 23 | = (-8)(-5) ÷ 8 | Simplify all exponents 23 = 2 x 2 x 2 = 2 x 2 = 4 x 2 = 8 |
| (-8)(-5) ÷ 8 | = +40 ÷ 8 | Perform all multiplications and divisions, working from left to right |
| +40 ÷ 8 | = +5 |
Answer is 5
