Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
Cumulative Practice

Exercise 3 Page 157

Pay close attention to the order of operations.

G

According to the order of operations, expressions inside parentheses are evaluated first, followed by exponents, then multiplication and division, and finally addition and subtraction are evaluated last. We can use the acronym PEMDAS to help us remember the correct order!
pemdas

For the given expression, this means evaluating the expression inside the parentheses completely before adding the factors. 2* 4^2+3(6÷ 2) → 2* 4^2+3(3) Now, we will follow the order the operations to evaluate this expression.

Operation Before Simplification After Simplification
Calculate power 2* 4^2+3(3) 2* 16+3(3)
Multiply 2* 16+ 3( 3) 32+ 9
Add terms 32+ 9 41
The expression is equal to 41. Then, the correct option is G.

Alternative Solution

Using a Calculator

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