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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
5. Subtracting Rational Numbers
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Exercise 9 Page 32

Is the distance between two numbers on a number line the same as the sum of the numbers?

12

Practice makes perfect

First, we can recall that the distance between any two numbers on a number line is the absolute value of the difference of the two numbers.

We can use this information to find the distance between - 3 and 9. Remember that subtracting a number is the same as adding its opposite.
|- 3-9|
SubNeg

a-(- b)=a+b

|- 3+(- 9)|
AddTerms

Add terms

|- 12|
AbsNeg

|-12|=12

12
Now, we can mark the distance between - 3 and 9 on the number line. Let's start by marking both numbers on the number line!

Next, we can mark the distance between the two numbers.

We can see that the distance between - 3 and 9 is 12 units.

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Try It 2 (Page 30)
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arrow_right Self-Assessment for Concept & Skills p.32
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arrow_right Self-Assessment for Problem Solving p.33
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