0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

Find the multiplicative inverse (reciprocal) of the following rational number:
$$\dfrac{0}{3}$$

Solution
Verified by Toppr

Let the reciprocal be $$x$$.

Then, $$\dfrac03\times x=1$$
$$\Rightarrow 0\times x=3$$ [Cross multiplication]
$$\Rightarrow x=\dfrac30$$

But, division by $$0$$ is not defined.
Hence, the reciprocal does not exist.

Was this answer helpful?
0
Similar Questions
Q1
Find the multiplicative inverse (reciprocal) of each of the following rational numbers: 9
View Solution
Q2
The reciprocal or multiplicative inverse of the rational number ab is cd if _______.
View Solution
Q3

Question 11
If x + 0 = 0 + x = x, which is rational number, then 0 is called:
(a) identity for addition of rational numbers.
(b) additive inverse of x.
(c) multiplicative inverse of x.
(d) reciprocal of x.


View Solution
Q4
Find the multiplicative inverse (reciprocal) of each of the following rational numbers:
(i) 9
(ii) −7
(iii) 125
(iv) -79
(v) -3-5
(vi) 23×94
(vii) -58×1615
(viii) -2×-35
(ix) −1
(x) 03
(xi) 1
View Solution
Q5

If y is the reciprocal of rational number x, then the multiplicative inverse of y will be:


View Solution