2. Order of Operations and Evaluating Expressions
Sign In
Pay close attention to the order of operations.
18
According to the order of operations, expressions inside parentheses are evaluated first, while addition and subtraction are evaluated last. For the given exercise, this means the exponent first, the product and division next, and finally, the sum of their results.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Calculate power | 5 * 2^2 ÷ 2 + 8 | 5 * 4 ÷ 2 + 8 |
| Multiply | 5 * 4 ÷ 2 + 8 | 20 ÷ 2 + 8 |
| Calculate quotient | 20 ÷ 2 + 8 | 10 + 8 |
| Add terms | 10 + 8 | 18 |
The expression equals 18.