What is the additive inverse and multiplicative inverse of \( \frac{1}{5} \)
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The Deep Dive
The additive inverse of \( \frac{1}{5} \) is simply the number that, when added to \( \frac{1}{5} \), results in zero. This would be \( -\frac{1}{5} \). So, if you think of it as "what do I need to add to \( \frac{1}{5} \) to get back to neutral?", the answer is just its negative! On the other hand, the multiplicative inverse of \( \frac{1}{5} \) is the number you need to multiply by to get one. For \( \frac{1}{5} \), the multiplicative inverse is \( 5 \) because \( \frac{1}{5} \times 5 = 1 \). So, multiplying by this buddy will always take you back to one!
