What is the opposite and reciprocal of 1/3?

2 Answers
Jun 25, 2015

Answer:

-3.

Explanation:

To find the opposite/reciprocal of a number, flip it and add a negative (or take it away if the number is negative already).

#1/3 -> 3/1#

#3/1->-3/1#

Final Answer

Jun 25, 2015

Answer:

The opposite of # 1/3# is #-1/3#,
and the reciprocal of #1/3# is #3#.

Explanation:

The opposite (also known as the additive inverse) is the number we have to add to get an answer equal to the additive identity, #0#. Since #1/3 + (-1/3) = (-1/3) +1/3 =0#, the opposite of #1/3# is #-1/3#.

The reciprocal (also known as the multiplicative inverse) is the number we have to multiply to get an answer equal to the multiplicative identity, #1#. Since #1/3 xx 3 = 3 xx 1/3 =1#, the reciprocal of #1/3# is #3#.
(It may help to remind you that #3 = 3/1#.)