write the additive and multiplicative Inverse for minus 6 by 13
The Correct Answer and Explanation is:
Additive Inverse of −613-\frac{6}{13}−136:
The additive inverse of a number is the number that, when added to the original number, gives a result of 0. In other words, it is the opposite of the number.
For −613-\frac{6}{13}−136, the additive inverse is simply the opposite of this value:Additive inverse=613\text{Additive inverse} = \frac{6}{13}Additive inverse=136
Explanation:
- The sum of −613-\frac{6}{13}−136 and 613\frac{6}{13}136 is 000, since:
−613+613=0-\frac{6}{13} + \frac{6}{13} = 0−136+136=0
Thus, the additive inverse of −613-\frac{6}{13}−136 is 613\frac{6}{13}136.
Multiplicative Inverse of −613-\frac{6}{13}−136:
The multiplicative inverse (or reciprocal) of a number is the number that, when multiplied by the original number, gives a result of 1. In other words, the multiplicative inverse of any fraction is the fraction flipped upside down.
For −613-\frac{6}{13}−136, its multiplicative inverse is:Multiplicative inverse=−136\text{Multiplicative inverse} = -\frac{13}{6}Multiplicative inverse=−613
Explanation:
- Multiplying −613-\frac{6}{13}−136 by −136-\frac{13}{6}−613 gives:
−613×−136=6×1313×6=7878=1-\frac{6}{13} \times -\frac{13}{6} = \frac{6 \times 13}{13 \times 6} = \frac{78}{78} = 1−136×−613=13×66×13=7878=1
Therefore, the multiplicative inverse of −613-\frac{6}{13}−136 is −136-\frac{13}{6}−613.
Conclusion:
- Additive inverse of −613-\frac{6}{13}−136 is 613\frac{6}{13}136.
- Multiplicative inverse of −613-\frac{6}{13}−136 is −136-\frac{13}{6}−613.
