Chapter Closure
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Pay close attention to the order of operations. Start by performing the subtraction inside parentheses.
Pay close attention to the order of operations. Start by evaluating the expression inside parentheses.
36
1
After that, we must still obey the order of operations. For this, we must remember to calculate the differences inside parentheses next.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Subtract terms | 36-(5-4)+2(8-4)÷ 8 | 36-1+2(4)÷ 8 |
| Multiply | 36-1+2(4)÷ 8 | 36-1+8÷ 8 |
| Calculate quotient | 36-1+8÷ 8 | 36-1+1 |
| Add and subtract terms | 36-1+1 | 36 |
The expression equals 36. We can also verify our answer using a calculator. To do so, type it as shown below.
2(9-6)^2÷ 18 ⇓ 2(3)^2÷ 18 After that, we must still obey the order of operations. For this, we must remember to evaluate the exponent first.
| Operation | Before Simplification | After Simplification |
|---|---|---|
| Calculate power | 2(3)^2÷ 18 | 2(9)÷ 18 |
| Multiply | 2(9)÷ 18 | 18÷ 18 |
| a/a=1 | 18÷ 18 | 1 |
The expression equals 1. We can also verify our answer using a calculator. To do so, type it as shown below.
