Finding the additive inverse and multiplicative inverse of -2/9



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 original number on the number line.

To find the additive inverse of -2/9, we need to find a number that, when added to -2/9, gives a result of 0. This number is known as the opposite, or negative, of -2/9.

We can find the additive inverse of -2/9 by simply changing the sign of the fraction.

-2/9 becomes +2/9 when we change the sign.

Therefore, the additive inverse of -2/9 is +2/9.



The multiplicative inverse of a number is the number that, when multiplied by the original number, gives a result of 1. In other words, it is the reciprocal of the original number.

To find the multiplicative inverse of -2/9, we need to find a number that, when multiplied by -2/9, gives a result of 1.

We can find the multiplicative inverse of -2/9 by simply flipping the fraction and changing its sign.

-2/9 becomes -9/2 when we flip the fraction and change the sign.

Therefore, the multiplicative inverse of -2/9 is -9/2.

It is important to note that the multiplicative inverse of any non-zero number is always defined, but the additive inverse is only defined for numbers that are not equal to 0.