Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Multiplying Integers
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Exercise 40 Page 53

Pay close attention to the order of operations.

900

Practice makes perfect
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, we first perform the operations in the parentheses before finally finding the product.

4* (25* 3^2) Notice also that even within this parenthetical expression, we must follow the order of operations. This means evaluating the exponent expression first before finding the product. 25* 3^2 Let's do it!

Operation Before Simplification After Simplification
Calculate Power 4* (25* 3^2) 4* (25* 9)
Multiply 4* ( 25* 9) 4* 225
Multiply 4* 225 900
The expression is equal to 900.

Alternative Solution

Using a Calculator

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