Question

which of the following rational number has not its reciprocal option (a) 1 (b) -10 (c) 2 (d)0​

Answer 1

Answer:

0 has not reciprocal option

Answer 2

Answer: (D) zero does not have its reciprocal form.

Step-by-step explanation:

In real numbers, zero does not have a reciprocal because no real number multiplied by 0 produces 1 (the product of any number with zero is zero)

we can also understand this by going through the following steps:

Let us define reciprocal, if K is a number, then its reciprocal is 1/K.

We see in the reciprocal, that K is a divisor.

If we take 1/K = m, then by the rules of operations, K × m = 1 is defined.

However, using 0 as a number, and reciprocating it to 1/0,

where  1/0 = p

therefore; 0 × p = 1,

but we know any number multiplied by 0 will have a result of 0;

Thus, 0 × p can not equal 1.

Therefore, 1/0 is undefined, and 0 can not have a reciprocal.