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Big Ideas Math: Modeling Real Life, Grade 7

BI

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

5. Subtracting Rational Numbers

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Exercise 16 Page 34

Subtracting a number is the same as adding its opposite.

- 6 23

Practice makes perfect

We want to find the difference. Let's look at the given expression! - 5- 5/3We can recall that subtracting a number is the same as adding its opposite. - 5- 5/3= - 5+(- 5/3) Now, we can find the sum of two numbers with the same sign. We can do so by finding the sum of their absolute values.

|- 5|+|- 5/3|

|-a|=a

5+5/3

▼

Add terms

a = 3* a/3

5* 3/3+5/3

Multiply

15/3+5/3

Add fractions

15+5/3

Add terms

20/3

Write fraction as a mixed number

6 23

Notice that both numbers in our sum expression have a negative sign. This means that the difference between - 5 and 53 is also a negative number, - 6 23.

Subchapter links

Try It p.30-32

Self-Assessment for Concept & Skills p.32

Self-Assessment for Problem Solving p.33

Review & Refresh p.34

Concept, Skills, & Problem Solving p.34-36