Reciprocal Jenny Eather's A Maths Dictionary for Kids' Quick Reference. It's also known as **the multiplicative inverse**. To find the reciprocal of a number, divide it by one. If the number isn't even, add another zero to make it even.

Example: Find the reciprocal of 72. Divide 72 by 1 (the multiplier). So, the reciprocal of 72 is 72 divided by 1, or 72 divided by 7. 2 times 9 is 18, and 8 plus 8 is 16, so 72 divided by 7 is 10.10 or 1.18.

Reciprocals can be difficult to figure out using whole numbers, so don't feel like you need to know how to do them in your head. Computers are very good at doing them for you. Just type in the number you want to find the reciprocal of and press enter!

Example: Enter the reciprocal of 72 into your computer. The calculator will show you that the reciprocal of 72 is 0.429.

Computers are good for more than just adding and subtracting numbers. They can also multiply and divide numbers without rounding off the answer. This means that they can help you check **your work** when you're trying to solve problems involving fractions and decimals.

When the reciprocal of a given number is multiplied by **that number**, the product is one. As a result, it is also known as **the multiplicative inverse**. In mathematics, a reciprocal is simply the inverse of a number or value. Reciprocals can be used to reverse the effect of a transformation - for example, if there are three ways to tie a knot, then the reciprocal of the number three is not one particular knot but all of them combined.

In mathematics, a reciprocal is the opposite or counterpart of a number. That is, the number divided by its reciprocal equals 1. The word "reciprocal" comes from Latin reciprocus, meaning "of equal value," which in turn comes from re- (again) + cibus (food). Since the 16th century, mathematicians have been expressing certain relationships between numbers as fractions with units on both sides of the fraction. For example, 3/2 means two thirds. If we divide the whole number by this fraction, we get another whole number that represents the same thing as 3/2: 6/3 = 2. Two thirds of what? Of six things, two are white and four are black. Therefore, the answer to the question, "What is 3/2?" is two thirds of six, or four black balls.

When represented as a fraction, the reciprocal of a number is the upside-down version of that number. The multiplicative inverse is another term for the reciprocal. Reciprocals are extremely useful for dividing fractions. Reciprocals can be used to convert fraction division into fraction multiplication. For example, if you need to divide 20 by 8, you can multiply the reciprocals and divide the product by 20.

There are two main methods for finding the reciprocal of a number: the arithmetic method and **the scientific method**. The arithmetic method requires **only addition** and subtraction. It is easy to understand and does not require any math beyond what is found in an average school mathematics course. The scientific method uses formulas derived from rules written by Isaac Newton. This method is more accurate but requires knowing calculus. Scientists have also developed **other methods** for finding recipsioins, such as using computers, so these methods may be used in place of the scientific method.

Arithmetic method: To find the reciprocal of a number, simply take its inverse: 1 divided by the number is the reciprocal. So, if number A is less than 10, then its reciprocal is A divided by 10. For example, if A = 3, then its reciprocal is 0.3 divided by 10 or 0.3 = 3/10 or 30%.

Scientific method: The reciprocal of a number raised to **the 0 power** (the first power) is 1.

The multiplicative inverse of an integer is another name for its reciprocal. A negative number multiplied by its reciprocal equals one. If the number is negative, the reciprocal must be negative as well in order to generate a product of +1. Multiplying a negative number by its own reciprocal will produce a number greater than one.

Examples: if you were to take the reciprocal of -3 it would be equal to 0.5. 0.5 * -3 = -15. 5 * -15 = 75. 75 > 100 so this number has a value greater than one. If you were to take the reciprocal of 4 it would be 1/4. 1/4 * 4 = 20. 20 < 25 so this number has a value less than one.

Reciprocals can also be used with fractions. Let's say that you had 0.5 as a fraction. You could write 0.5 as 0.50000.. Which means half of **one thing** is equal to half of another thing. The multiplication rule for reciprocals applies here too so 0.5 * reciprocal(0.5) = 1. To check, we can divide **both sides** by 0.5 which gives us exactly one.

Finally, let's say that you wanted to find the reciprocal of -20.

Reciprocals A number's product and its reciprocal equals one. 1/4 is the reciprocal of 4. 3/2 is the reciprocal of 2/3. Because the product of **any number** and 0 equals 0, the number 0 does not have a reciprocal. For example, the reciprocal of 15 is 1/15 or 0% because 5*1=5 and 1*5=5.

A number's reciprocal is another term for its multiplicative inverse, or the number that yields 1 when multiplied by the original number. Simply take 1 and divide it by the number you want to determine the reciprocal of. As a result, the reciprocal of 3 is: 1/3 = 13.33..

Reciprocals can be used in many ways with numbers. For example, if there are $10,000 in prizes, then the odds favor winning a prize are 3 out of 10,000. This means that there are three chances in every thousand that you will win a prize. If you wanted to increase **these odds**, you could multiply them by the reciprocal of 10,000, which is 0.333.

Reciprocals can also be used with percentages. If I tell you that my salary is 33% of your salary, what does this mean? It means that for **every two dollars** you make, I make one dollar. That's how reciprocals work with percentages as well! If I give you **a half share**, then the other half is called a reciprocal share. Finally, reciprocals can be used with integers. If I give you an order of **magnitude more items** than anyone else, then the others people are considered to have zero reciprocals.

Multiplication and division are both associative, which means that they can be done in any order.