The reciprocal of a number is one divided by that number. Formally the reciprocal of \(x =\) .
So, for example, the reciprocal of \(5\) is one quarter: The reciprocal of \(5\) is .
If is number then, the reciprocal of is \(8\).
Rational Number: A number can be made by dividing two integers.
- An integer is a number with no fractional part.
0.5 is a rational number because 0.5 \(=\) (3 and 2 are both integers.)
When is a rational number then, the reciprocal of is , to get the product as \(1\)?
Thus, \(×\) \(=\) \(1\).
Similarly, must be multiplied by so as to get the product as \(1\).
We state that is the reciprocal of and is the reciprocal of .
Can you guess what is the reciprocal of \(0\)?
We state that a rational number is called the reciprocal or multiplicative inverse of another non-zero rational number if \(×\) \(=\) \(1\).
Is there a rational number which when multiplied by \(0\) give \(1\)? Thus, zero has no reciprocal.