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Big Ideas Math: Modeling Real Life, Grade 7

BI

Big Ideas Math: Modeling Real Life, Grade 7 View details

3. Adding Rational Numbers

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Exercise 1 Page 18

When calculating the sum of two numbers with the same sign, we add their absolute values.

- 2

Practice makes perfect

We want to find the sum and simplify the result of the addition. Let's look at the given expression! - 1/2+( - 3/2) When adding or subtracting fractions they should have the same denominator. In this case, we have two fractions with the same denominator. Now, we can find the sum of two fractions with the same signs. Recall that we can do so by adding their absolute values. Let's do it!

|- 1/2|+|- 3/2|

|-1/2|=1/2

1/2+|- 3/2|

|-3/2|=3/2

1/2+3/2

Add fractions

1+3/2

Add terms

4/2

Calculate quotient

2

Recall that both numbers are negative. This means that the sum is also a negative number, - 2.

Subchapter links

Try It p.18-19

Self-Assessment for Concept & Skills p.19

Self-Assessment for Problem Solving p.20

Review & Refresh p.21

Concept, Skills, & Problem Solving p.21-22