According to the order of operations, expressions inside parentheses are evaluated first, while addition and subtraction are evaluated last. For the given expression, this means evaluating the expression inside the square brackets completely before adding it to 25.
25+[(16-3*5)+12+3/5]
Notice also that even within this parenthetical expression, we must obey the order of operations.
(16-3*5)+12+3/5
For this, we must remember to evaluate the expression inside the parentheses first, then simplify numerator to calculate the quotient, and finally calculate the sum of their results.
Operation
Before Simplification
After Simplification
Multiply
25+[(16- 3*5)+12+3/5]
25+[(16- 15)+12+3/5]
Subtract term
25+[( 16-15)+12+3/5]
25+[ 1+12+3/5]
Add terms
25+[1+12+3/5]
25+[1+15/5]
Calculate quotient
25+[1+ 15/5]
25+[1+ 3]
Add terms
25+[ 1+3]
25+[ 4]
Add terms
25+[4]
29
The expression equals 29.
Alternative Solution
Using a Calculator
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