Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
3. Prime Factorization
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Exercise 1 Page 19

Pay close attention to the order of operations.

34

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.

2+4^2(5-3) For the given expression, this means evaluating the expression inside the parentheses first, then the power, and finally the multiplication and the addition. Let's do it!

Operation Before Simplification After Simplification
Subtract terms 2+4^2( 5- 3) 2+4^2( 2)
Calculate power 2+4^2(2) 2+ 16(2)
Multiply 2+ 16( 2) 2+ 32
Add terms 2+ 32 34
The expression is equal to 34.

Alternative Solution

Using a Calculator

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

Whenever using a calculator for a complicated expression such as this, be very careful when placing the parentheses. A calculator will only do what it is told to do, not what you meant for it do.