# Rule 22: Order of Operations If parentheses are enclosed in other parentheses, work from the inside out. Example: Calculate .

Answer: The answer is 33.

Solution:
There are parentheses in this problem which must be removed. Since there are "nested" parentheses, simplify the inner most parentheses first. The parentheses contain multiplication and addition. Complete the multiplication first. can be modified to .

The problem can now be written as .

The remaining parentheses contain multiplication and addition. Complete the multiplication first. can be modified to 3 + 28 - 8 = 31 - 8 = 23 and 23 + 10 = 33.

### If you would like to review more examples, click on the word Example. Work the following problems and click on Answer to check your results.

Problem 1: Calculate .
Answer

Problem 2: Calculate .
Answer

Problem 3: Calculate .
Answer [Identification] [Factoring Integers] [Reducing Fractions] [Multiplication]
[Division] [Building Fractions] [Addition] [Subtraction]
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