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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

2. Properties of Real Numbers

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Exercise 78 Page 17

Pay attention to the order of operations.

2 14

According to the order of operations, multiplication and division are evaluated before addition and subtraction. For the given expression, this means evaluating the quotients before adding them.

Operation	Before Simplification	After Simplification
Write division as a fraction	3÷4+ 6÷4	3/4+ 6/4
Add fractions	3/4+6/4	9/4

The expression equals 94. Let's write this as a mixed number.

9/4

▼

Write fraction as a mixed number

Write as a sum

8+1/4

Write as a sum of fractions

8/4+1/4

Calculate quotient

2+1/4

Add terms

2 14

Alternative Solution

Using a Calculator

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

The result is 2.25, which is equivalent to 2 14.

Subchapter links

Lesson Check p.15

Practice and Problem-Solving Exercises p.15-17

Standardized Test Prep p.17

Mixed Review p.17