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Big Ideas Math: Modeling Real Life, Grade 6

BI

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

3. Prime Factorization

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Exercise 3 Page 19

Pay close attention to the order of operations.

13

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. 9 * 5 -2^4(5/2-1/2)

For the given expression, this means evaluating the subtraction inside parentheses first, the power next, then the multiplication, and finally the subtraction. Let's focus on the expression inside parentheses. 5/2-1/2 Remember that to subtract fractions with the same denominator, we subtract their numerators and keep the denominators the same. Let's simplify the expression.

Operation	Before Simplification	After Simplification
Subtract fractions	9 * 5 -2^4( 5/2- 1/2)	9 * 5 -2^4( 4/2)
Divide	9 * 5 -2^4(4/2)	9 * 5 -2^4( 2)
Calculate power	9 * 5 -2^4(2)	9 * 5 - 16(2)
Multiply	9 * 5 - 16( 2)	45- 32
Subtract term	45- 32	13

The expression is equal to 13.

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.

Subchapter links

Try It p.16-17

Self-Assessment for Concepts & Skills p.17

Self-Assessment for Problem Solving p.18

Review & Refresh p.19

Concepts, Skills, & Problem Solving p.19-20