Reciprocal of a decimal

In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x. This means that the product of a number x and its reciprocal yields 1. This article discusses reciprocal of a decimal steps on how to find the reciprocal of a number, mixed numbers, fractions and decimals. The reciprocal of a number is simply the number that has been flipped or inverted upside-down.

Here we will learn about reciprocals, including the definition of reciprocal and how to find reciprocals. The reciprocal of a number is 1 divided by the number. It can also be found by raising the number to the power of When we multiply a number by its reciprocal, the answer is always 1. Given that the method of finding a reciprocal is to flip the number when it is written as a fraction, you might notice that the reciprocal of a reciprocal is the original number. Reciprocal functions produce distinctive looking graphs.

Reciprocal of a decimal

Every number has an opposite. In fact, every number has two opposites: the additive inverse and the reciprocal —or multiplicative inverse. Don't be intimidated by these technical-sounding names, though. Finding a number's opposites is actually pretty straightforward. The first type of opposite is the one you might be most familiar with: positive numbers and negative numbers. For example, the opposite of 4 is -4 , or negative four. On a number line, 4 and -4 are both the same distance from 0 , but they're on opposite sides. This type of opposite is also called the additive inverse. Inverse is just another word for opposite , and additive refers to the fact that when you add these opposite numbers together, they always equal 0. In fact, any number you can come up with has an additive inverse. No matter how large or small a number is, adding it and its inverse will equal 0 every time. If you've never worked with positive and negative numbers, you might want to review our lesson on negative numbers. The main time you'll use the additive inverse in algebra is when you cancel out numbers in an expression. If you're not familiar with cancelling out, check out our lesson on simplifying expressions.

This can be written as 1. Find the reciprocal of 0.

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On taking reciprocal of an inverted number, it returns to the original number. The reciprocal of a given number when multiplied by that number gives one as a product. Thus, it is also called the multiplicative inverse. In math, reciprocal can simply be defined as the inverse of a number or a value. What is the reciprocal of 0? What is the reciprocal of decimal number? Let's learn about it all in this lesson. According to the reciprocal definition in math, the reciprocal of a number is defined as the expression which when multiplied by the number gives the product as 1. In other words, when the product of two numbers is 1, they are said to be reciprocals of each other.

Reciprocal of a decimal

The reciprocal of a number is 1 divided by the number. All numbers have a reciprocal, except for 0, since the reciprocal of 0 is undefined. Reciprocals can be useful for working with fractions, particularly fractional expressions in algebra where reciprocals can be used to simplify expressions to solve equations. The reciprocal of a non-zero integer such as 5 is:. Thus, the reciprocal is also referred to as the multiplicative inverse; it is what you need to multiply a given number or expression by for the product of the two numbers to be 1. Multiplying any expression by its reciprocal will result in 1. If a number is written in fraction form, you can also think of the reciprocal as "flipping" the number. Flipping refers to switching the position of the numerator and denominator of a fraction as if you were flipping the fraction upside down.

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Learning checklist You have now learned how to: Find the reciprocal of an integer Find the reciprocal of a fraction or a decimal number. Reciprocal maths GCSE questions. Step-by-step guide: Reciprocal graphs. Check out our lesson on converting percentages, decimals, and fractions. Peter has written three-fifth of his 75 paged research work. Common misconceptions Reciprocal of zero Zero does not have a reciprocal. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings. If you've ever multiplied and divided fractions , the reciprocal might seem familiar to you. Use the skills you just learned to solve these problems. After you've solved both sets of problems, you can scroll down to view the answers. You also have the option to opt-out of these cookies. How to write the reciprocal of a number In order to write the reciprocal of a number: Without a calculator: Write the number as a fraction. Find the reciprocal of 9. Any cookies that may not be particularly necessary for the website to function and is used specifically to collect user personal data via analytics, ads, other embedded contents are termed as non-necessary cookies.

This online Reciprocal Calculator finds the reciprocal of a decimal number or a fraction proper, improper or mixed number.

The number needs to be changed to a fraction. Solution A herd of cows produces 99 liters of milk daily. How to Find the Reciprocal of a Mixed Number? Reciprocal maths GCSE questions. Whilst some fractions can easily be written as decimals, many fractions cannot be written as exact decimals. Close Privacy Overview This website uses cookies to improve your experience while you navigate through the website. Then we can turn the fraction upside down. The reciprocal of a number is 1 divided by the number. To find the reciprocal of 9 we first write it as a fraction with 1 as the denominator. The number needs to be changed to a fraction, 0. When you multiply two fractions, you multiply straight across. Practice reciprocal maths questions. Reciprocal maths worksheet. Reciprocal graphs. If you've never worked with positive and negative numbers, you might want to review our lesson on negative numbers.