Big Ideas Math: Modeling Real Life, Grade 6
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Exercise 2 Page 38

Pay close attention to the order of operations.

5

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
Consider the given expression.

5+4(12-2)/3^2 For the given expression, this means evaluating the expression inside the parentheses before calculating the product. 5+4(10)/3^2 To continue evaluating, we will follow the order of operations. Let's do it!

Operation Before Simplification After Simplification
Calculate power 5+4(10)/3^2 5+4(10)/9
Multiply 5+ 4( 10)/9 5+ 40/9
Add terms 5+ 40/9 45/9
Finally, the fraction can be written as a division.
45/9
45÷ 9
5
The expression is equal to 5.