There are two ways to find the inverse of a number. The first way is to look for the opposite or additive inverse of the number. The second way is to look for the reciprocal or multiplicative inverse of the number.
Find the opposite and reciprocal of these numbers: -6, 5/6, 4 1/5, -0.02, and 5x.
a. -6
The opposite of -6 is -(-6) = 6
The reciprocal of -6 is 1/-6
b. 5/6
The opposite of 5/6 is -(5/6) = -5/6
The reciprocal of 5/6 is 1/(5/6) = 1 x 6/5 = 6/5
c. 4 1/5
The opposite of 4 1/5 is -(4 1/5) = - 4 1/5
The reciprocal of 4 1/5 is 1/(4 1/5) = 1/(21/5) = 1 x 5/21 = 5/21
d. -0.02
The opposite of -0.02 is -(-0.02) = 0.02
The reciprocal of -0.02 is 1/(-0.02) = 1/(-2/100) = 1 x (-100/2) = 1 x (-50) = -50
e. 5x
The opposite of 5x is -(5x) = -5x
The reciprocal of 5x is 1/(5x) = 1/5x
Sep 24, 21 03:39 AM
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