McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
6. Ratios and Proportions
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Exercise 66 Page 117

Pay close attention to the order of operations.

3

Practice makes perfect
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 brackets completely before subtracting it from the product.

4^2*3-5(6+3) For this, we must remember to evaluate expressions in the brackets first, then the exponent, the multiplication next, and finally the difference between the results we get.

Operation Before Simplification After Simplification
Add terms 4^2*3-5 (6+3) 4^2*3-5( 9)
Calculate power 4^2*3-5(9) 16*3-5(9)
Multiply 16*3- 5(9) 48- 45
Subtract term 48-45 3
The expression equals 3.

Alternative Solution

Using a Calculator

We can also evaluate this expression using a calculator. To do so, type it as shown below.