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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 40 Page 35

The absolute value of a number is its distance from 0 on the number line.

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Practice makes perfect

We want to find the distance between - 7 and - 3 23 on a number line. 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 - 7 and - 3 23. |- 7-(- 3 23 ) | Before evaluating our difference, we can start rewrite each mixed number as a fraction.

a bc a* c+b/c Simplify
- 3 23 -(3* 3+2/3) -11/3
Now we can rewrite our expression. |- 7 -(- 3 23 ) | ⇒ |-7 -(- 113 ) | Finally, we can evaluate our expression.
|-7 -(- 113 ) |
SubNeg

a-(- b)=a+b

|- 7 +11/3|
NumberToFrac

a = 3* a/3

|- 7* 3/3 +11/3|
Multiply

Multiply

|- 21/3 +11/3|
â–Ľ
Simplify
AddFrac

Add fractions

|- 21+11/3|
AddTerms

Add terms

|- 10/3|
AbsNeg

|-10/3|=10/3

10/3
FracToMixed

Write fraction as a mixed number

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arrow_right Self-Assessment for Concept & Skills p.32
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Self-Assessment for Concept & Skills 13 (Page 32)
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arrow_right Self-Assessment for Problem Solving p.33
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