Understanding the Additive Inverse

The additive inverse of a number is the value that, when added to the original number, gives a sum of zero. In other words, it is the opposite of the given number. The additive inverse of any number 'a' is represented as '-a'. For example, the additive inverse of 5 is -5, and the additive inverse of -7 is 7.

Calculating the Additive Inverse of -6/-5

To find the additive inverse of -6/-5, we first need to simplify the expression -6/-5.

Simplifying -6/-5

To simplify a division of two negative numbers, we follow these steps:
1. Keep the sign of the dividend (-6).
2. Change the division sign to multiplication.
3. Change the sign of the divisor (-5).

Applying these steps, we can simplify -6/-5 as follows:
-6/-5 = -6 * (-1/5) = 6/5

Calculating the Additive Inverse of 6/5

Now that we have simplified -6/-5 to 6/5, we can find its additive inverse by changing the sign. The additive inverse of 6/5 is -6/5.

Summary

To summarize, the additive inverse of -6/-5 is -6/5. The process involves simplifying the expression -6/-5 to 6/5 and then changing the sign to obtain its additive inverse.

-6/5