Reciprocal of any non - zero number [other than 1 (because reciprocal of 1 is 1)]is always less than '1' .
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The first contributor disputes the change:
Sorry, Anu. What about the non-zero number 0.5, whose reciprocal is 2 ? ? ?
Zero does not have a reciprocal because a reciprocal is defined as a number that, when multiplied by the original number, yields one. Since multiplying any number by zero always results in zero, there is no number that can be multiplied by zero to produce one. Consequently, the concept of a reciprocal for zero is undefined in mathematics.
That number is zero.
Yes, every non-zero number has a reciprocal, which is defined as 1 divided by that number. For example, the reciprocal of 5 is ( \frac{1}{5} ), and the reciprocal of -3 is ( -\frac{1}{3} ). However, zero does not have a reciprocal, as division by zero is undefined.
YES, and any number less than Zero is a Negative Number.
Zero
Zero does not have a reciprocal because a reciprocal is defined as a number that, when multiplied by the original number, yields one. Since multiplying any number by zero always results in zero, there is no number that can be multiplied by zero to produce one. Consequently, the concept of a reciprocal for zero is undefined in mathematics.
any negative number is less than zero
Every number except zero has a reciprocal.
That number is zero.
A negative number is less than zero.
Yes, every non-zero number has a reciprocal, which is defined as 1 divided by that number. For example, the reciprocal of 5 is ( \frac{1}{5} ), and the reciprocal of -3 is ( -\frac{1}{3} ). However, zero does not have a reciprocal, as division by zero is undefined.
The number zero.
YES, and any number less than Zero is a Negative Number.
Zero
Zero.
Anything less than zero would be a negative number.
A non-example of a reciprocal would be the number zero. This is because the reciprocal of a number ( x ) is defined as ( \frac{1}{x} ), and since division by zero is undefined, zero does not have a reciprocal. Additionally, any number that is not a non-zero number, such as a negative number or a fraction, also serves as a non-example if it cannot be inverted to produce a valid result.