How do you find the reciprocal of 3?
The reciprocal of a number is another word for its multiplicative inverse, or the number which gives 1 when multiplied by the original number.
To find the reciprocal of any number, simply take 1 and divide it by that number. So, the reciprocal of
#1 div 3 = color(red)(1/3)#
We can check that this is the multiplicative inverse of
#color(limegreen)3 * color(red)(1/3) = cancel3 * 1/cancel3 = 1 #
Hope this helps!
As a side note for future problems, you may want to remember that the number
The reciprocal of
The reciprocal of a number is the same as its multiplicative inverse.
(The multiplying opposite)
It is the number 'turned upside down'.
The product of a number and its reciprocal is always
So in this case, we can write
The reciprocal is