0
Here's a simplistic explanation.
Let's suppose there was a reciprocal of zero; call it z.
z = 1/0
rearranging,
1 = 0 * z
However, since 0 times any number is 0, z cannot exist.
(There are types of mathematics that conceptually amount to, among other things, defining some number z. However, even in these, 0 * z is left intentionally undefined, because defining it leads to algebraic weirdness.)
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What is the reciprocal of zero?
It is 0. But some people say 0 does not have a reciprocal.
What is the negative reciprocal of 0?
The negative reciprocal of zero would be any undefined fraction. 0/x=0 negative reciprocal: -(x/0)= undefined.
What real number does not have reciprocal?
0 has no reciprocal
Does every real number have a reciprocal?
No, 0 does not have a reciprocal, yet 0 is a real number.
What is the reciprocal of 0?
what is the reciprocal of 0?well you have to understand that a reciprocal of any number is the number that when multiplied gives 1.ex. reciprocal of 2 is 1/2 because 2x1/2 is 1now understanding that what number can we multiply 0 by to get 10x1 nope0x8 nope0x10000000000000000000000000000000 nopebut what if we consider infinity?infinity isn't big it isn't small it is the endlessness of numbers.and zero is the midway point of the numbers.skipping all of the theory we can understand that the recipricol of 0 is infinity.This is a common perception of the reciprocal of zero. Another common answer, more commonly believed, is that 0's reciprocal is undefined.
