Video Transcript
Find the additive inverse of
negative one-third.
In this question, we are asked to
find the additive inverse of a given rational number. To do this, we can start by
recalling that the additive inverse of a number 𝑎 is the number whose sum with 𝑎
gives zero, which is the additive identity.
We can find the additive inverse of
any number by recalling that 𝑎 plus negative 𝑎 is always equal to zero. In particular, this means that
negative 𝑎 is the additive inverse of 𝑎 for any rational number 𝑎. Hence, the additive inverse of
negative one-third is negative one times negative one-third. Since the product of two negatives
is positive, this is equal to one-third.
We can verify that these numbers
are additive inverses by calculating that negative one-third plus one-third is equal
to zero. This confirms that one-third is the
additive inverse of negative one-third.
