What Is The Reciprocal?

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What Is The Reciprocal

What is the reciprocal in math?

Reciprocal of Negative Numbers – For any negative number -x, the reciprocal can be found by writing the inverse of the given number with a minus sign along with that (i.e) -1/x. For example, the reciprocal of – 4x 2 is written as -1/4x 2, Go through the following steps to find the reciprocal of the negative number.

  1. Step 1: For any negative number, write the given number in the form of an improper fraction by writing the number 1 in the denominator.
  2. Step 2: Now, interchange the numerator and denominator values.
  3. Step 3: Add a minus sign (-) to the resultant number.
  4. Now, Consider a negative number, -17.

Step 1: Convert the number 17 in the improper fraction. (i.e) 17/1.

  • Step 2: Interchanging the numerator and denominator value, we get 1/17.
  • Step 3: Finally, adding a negative sign to the resultant number, we get -1/17.
  • Therefore, the reciprocal of -17 is -1/17.

What is a reciprocal of 5?

A reciprocal in math is one divided by the number in question (also known as the multiplicative inverse). For example, if our chosen number is 5, its reciprocal is 1/5.

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What is the reciprocal of 2?

The reciprocal of 2 is 1/2. The reciprocal of a number can be found when 1 is divided by the number you wish to find the reciprocal of. In this case, 1 is divided by 2. So, the reciprocal can be expressed as 1/2 or 0.5.

Is reciprocal the same as inverse?

A reciprocal is a type of inverse, but an inverse is not necessarily a reciprocal. The reciprocal of a number is its multiplicative inverse.

What is a reciprocal of 19?

∴ Reciprocal of 19=1÷19= 191.

Which is the reciprocal of 12?

The reciprocal of 12 is 1/12.

How will you get the reciprocal of 10?

The reciprocal of 10 is 1/10. This can be tested by multiplying 10 by 1/10.10 x 1/10 = 1. The reciprocal of a number times the number always equals 1.

What is a reciprocal of 20?

Instant Answer Step 1: The reciprocal of a number is 1 divided by that number. Step 2: In this case, the number is 20. Step 3: So, the reciprocal of 20 is 1/20.

What is a reciprocal of 13?

The reciprocal of a number is one divided by the number. In this case, we need to divide one by 13. This can be written as the fraction one thirteenth. The reciprocal of 13 is one thirteenth.

Is there a reciprocal of 0?

Q. The reciprocal of zero is _? – Answer : The number 0 has no defined reciprocal. The term reciprocal is the multiple inverses of the given number. It is also called the opposite or inverse value of a certain number. For example – let’s say that if ‘x’ is a real number, then the reciprocal of the number ‘x’ is going to be 1/’x’.

This simply shows that we are converting the number ‘x’ to an upside-down or an opposite form. It can also be formed by simply changing to positions of the denominator and numerator from their original places. It always happens that the product of a certain number and its reciprocal value is always going to be 1 and nothing else.

Every single number in the number system has a reciprocal except for the number 0 since it has no value. This is because if any number that is imaginable is multiplied by the number zero, the resulting value of the product of these two numbers will always be zero.

  • There is no number that, when multiplied by zero, gives the product 1, so the value of the reciprocal of the number zero is always ‘undefined’.
  • Since the product of any number multiplied by the number zero is always zero, the reciprocal value for the number zero cannot be defined, which is not the same case with any other number other than zero.
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In other words, this ‘undefined’ unit is sometimes denoted as infinity since its value cannot be defined. All in all, there is no possible way to determine the value of the reciprocal of zero. Any number’s division by the number zero has no meaning.

Why is the reciprocal of 5?

The reciprocal of 5 is 1 /5. Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal. Reciprocals are used when dividing fractions.

What is the reciprocal of 2 by 3?

When the product of two numbers is 1, they are said to be reciprocals of each other. The reciprocal of a number is also defined as the division of 1 by that number. Hence according to the definition of reciprocal fraction which is reciprocal of 2/3 is 3/2.

What is the reciprocal of 4?

So reciprocal of 4 is 1/4