How to Find the Reciprocal of a Number

The reciprocal of a number is 1 divided by the number. The multiplicative inverse of a whole number.

The Reciprocal Function Teaching Resources Teaching Resources Teaching Maths Algebra

You just use a technique that swaps the denominator and the.

. The reciprocal of a number is also called its multiplicative inverse. Convert the decimal to fraction. All numbers except 0 have a reciprocal.

A multiplicative inverse or reciprocal for a number n denoted by 1 n or n 1 n to the power of minus one is a number which when multiplied by n their product is 1. Swap the numerator and denominator. Convert Whole Number into fraction.

23 x 32 1. The reciprocal of a fraction is found by flipping its numerator and denominator. In other words the reciprocal of.

A fraction consists of a numerator and a denominator. Thus the reciprocal of 9 is 1 divided by 9 which is. 6 1 1 6.

Also 1 divided by a negative number will be a negative number. 1 z a i b a 2 i 2 b 2 a i b a 2 b 2. As you can expect 14 times the reciprocal of 14 will equal 1.

The reciprocal of the whole number can be found by the following method. The reciprocal of a number or a function is the value or expression that results from reversing the numerator and denominators places. The product of a number and its reciprocal is 1.

What are ReciprocalsTo get the reciprocal of any number you multiply the number by 1number so that the product of the two numbers equate to 1For example 8. To find the reciprocal of any number just calculate 1 that number For a fraction the reciprocal is just a different fraction with the numbers flipped upside down inverted. For any negative number write the given number in the form of an improper fraction by writing the number 1 in.

What Does a Multiplicative Inverse or Reciprocal Mean. Therefore the reciprocal of -14 is simply the answer above with a minus in front. Reciprocal of the whole number.

The product of 23 and its reciprocal 32 is 1. Ab is ba. Therefore the reciprocal of -9 is.

To get the reciprocal of a number we divide 1 by the number. For instance the reciprocal of 34 is 43. The reciprocal of any number is the quotient you get when you divide 1 by that number.

Reciprocals are considered multiplicative inverses since they will always be 1 when we multiply a number by its reciprocal. Add a minus sign - to the resultant number. Firstly we multiply the whole number with the denominator and add their result with the numerator then change the position of the numerator and denominator as we have done in the above section Reciprocal of a fraction.

Make it a numerator by placing one in the fraction. An inverse of 12 is 2 so the reciprocal of decimal number 05 is 2. We did round the answer above to 8 digits after the decimal point if necessary.

The reciprocal is simply. Also 1 divided by a negative number will be a negative number. Divide one by a decimal number or write one over a decimal number to find its reciprocal.

There isnt any special formula to find the reciprocal of a number. To find the reciprocal of a fraction we just need to interchange or swap numerator and denominatorFor example the reciprocal of fraction 79 is 97. Boldsymbol dfrac a brightarrow dfrac b a.

For example to find reciprocal of 05 find the equivalent fraction for 05. Any number times its reciprocal will give you 1. Exchange the numerator and denominator of a fraction to find its reciprocal.

Now interchange the numerator and denominator values. Reciprocal of a Mixed NumberWatch the next lesson. Swap over the numerator and denominator to get the fraction reciprocal.

Therefore the simplified fraction for 051 becomes 12. To find the reciprocal of a whole number just convert it into a fraction in which the original number is the denominator and the numerator is 1. For example the reciprocal of 89 is frac189 Reciprocal of a Fraction.

It is easy to find the reciprocal of numbers and integers but when they have a decimal point it is a little different. The reciprocal of 23 is 32. The resulting fraction is reciprocal.

Multiply numerator and denominator by conjugate of denominator 1 z 1 a i b a i b a i b. An inverse of fraction is a reciprocal of decimal number. The reciprocal for a number a denoted by 1a is a number which when multiplied by a yields the multiplicative identity 1.

To find the reciprocal of whole number or multiplicative inverse of whole number we have inverse element property which is defined as. Find the reciprocal of 134. The reciprocal is also called multiplicative inverse.

You can solve it more to find the decimal point value. Reciprocal of a Number Here you can calculate the. Look at the image given below showing the reciprocal of fractions.

Eg the reciprocal of 4 52 is 213. The reciprocals of 6 1 10 3 7 are 1 6 10 1 7 3. Let z a ib be a non-zero complex number.

6 is a whole number so what will. The decimal number 05 can be written as 051. How to Find the Reciprocal of a Complex Number.

1 z 1 a i b. Find the reciprocal of mixed number 5 34. The definition of reciprocal is simple.

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