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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 2 Page 30

Subtracting a number is the same as adding its opposite.

- 4

Practice makes perfect
We want to find the difference. Let's look at the given expression! - 3 13- 2/3 We can recall that subtracting a number is the same as adding its opposite.

- 3 13- 2/3= - 3 13+(- 2/3) Before we can evaluate our sum involving mixed numbers, the mixed numbers must first be rewritten as fractions.

a bc a* c+b/c Simplify
- 3 13 -(3* 3+1/3) -10/3
When adding or subtracting fractions they should have the same denominator. In this case, we have two fractions with the same denominator. - 3 13+(- 2/3) ⇒ - 10/3+(- 2/3) 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.
|- 10/3|+|- 2/3|
AbsNeg

|-a|=a

10/3+2/3
AddFrac

Add fractions

10+2/3
AddTerms

Add terms

12/3
CalcQuot

Calculate quotient

4
Notice that both numbers in our sum expression have a negative sign. This means that that the difference between - 3 13 and 23 is also a negative number, - 4.
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