1Cademy - Simplifying $$15 - 7$$ and $$-14 - 8$$ Using the Subtraction Property

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Subtraction Property of Integers

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Simplifying $15 - 7$ and $-14 - 8$ Using the Subtraction Property

Applying the subtraction property, we can verify that subtracting a number gives the same result as adding its opposite.

$15 - 7 = 8$ and $15 + (-7) = 8$ : Both expressions produce $8$ , confirming that $15 - 7 = 15 + (-7)$ .
$-14 - 8 = -22$ and $-14 + (-8) = -22$ : Both expressions produce $-22$ , confirming that $-14 - 8 = -14 + (-8)$ .

Updated 2026-05-26

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OpenStax Intermediate Algebra

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Intermediate Algebra @ OpenStax

Ch.1 Foundations - Intermediate Algebra @ OpenStax

Algebra

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Simplifying $15 - 7$ and $-14 - 8$ Using the Subtraction Property

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An accounting clerk is updating a business ledger with two transactions: subtracting a 7 dollar discount from a 15 dollar balance ( ${}15 - 7$ ) and subtracting an 8 dollar expense from a 14 dollar deficit ( $-14 - 8$ ). To simplify these calculations, the clerk applies the subtraction property to rewrite each as the addition of an opposite. Which pair of expressions correctly shows this property being used?
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