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Finding the Additive Inverse of Fractions, Decimals, and Negative Numbers
To find the additive inverse of any number, determine its opposite — the value that, when added to it, gives zero.
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Positive fraction: The additive inverse of is , because .
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Positive decimal: The additive inverse of is , because .
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Negative integer: The additive inverse of is . Writing the opposite of as and simplifying gives , since .
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Negative fraction: The additive inverse of is . Writing the opposite as and simplifying gives , since .
Notice that the additive inverse of a positive number is always negative, and the additive inverse of a negative number is always positive. The procedure works identically for integers, fractions, and decimals: negate the given number to obtain its additive inverse.
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Ch.1 Foundations - Elementary Algebra @ OpenStax
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