ORDER OF OPERATIONS: Example 2

Rule 23:
The parenthesis instruct you to simplify the expression within the parenthesis before you proceed. The division symbol has the same role as the parenthesis. It instructs you to treat the quantity above the numerator as if it were enclosed in a parenthesis, and to treat the quantity below the numerator as if it were enclosed in yet another parenthesis.

Example 2: Calculate tex2html_wrap_inline19 and reduce.

Answer: The answer is tex2html_wrap_inline21 .

Solution:
A common mistake is to cancel the 3's. That is why during the review of fraction that we have you look for the number one. The division symbol takes the place of a parenthesis. Therefore, this problem has two parenthesis that must be removed. The numerator must be simplified, and the denominator must be simplified. The numerator tex2html_wrap_inline23 can be simplified to 5. The denominator tex2html_wrap_inline25 can be simplified to 8. The problem tex2html_wrap_inline19 can now be written tex2html_wrap_inline21 .

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Author: Nancy Marcus

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