Reciprocal of a decimal

In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x.

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.

Common misconceptions Reciprocal of zero Zero does not have a reciprocal. Still stuck?

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If you're wondering how to find the reciprocal , we're here to help with this easy-to-use reciprocal calculator. Below, you can find an explanation of what a reciprocal is and examples of how to calculate and find reciprocals, be it the reciprocal of a fraction or a number. As you're interested in reciprocals, we suspect that fraction calculators may also be interesting to you. So why not check out our other tools! A reciprocal in math is one divided by the number in question also known as the multiplicative inverse.

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.

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This article discusses the steps on how to find the reciprocal of a number, mixed numbers, fractions and decimals. In other words, you use the reciprocal. Find the reciprocal of 9. Please read our Cookies Policy for information on how we use cookies and how to manage or change your cookie settings. Write the number as a fraction. Signin Signup Dashboard Profile Logout. What fraction of the boys take humanities? Next lessons. If you've never worked with positive and negative numbers, you might want to review our lesson on negative numbers. Below, you can see more reciprocals. When you cancel out a number, you're eliminating it from one side of an equation by performing an inverse action on that number on both sides of the equation.

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.

The first type of opposite is the one you might be most familiar with: positive numbers and negative numbers. Solution A herd of cows produces 99 liters of milk daily. This topic is relevant for:. Still stuck? Signin Signup Dashboard Profile Logout. And because reciprocal means opposite , the reciprocal of a reciprocal fraction is a whole number. In fact, every number has two opposites: the additive inverse and the reciprocal —or multiplicative inverse. It's called the multiplicative inverse , but it's more commonly called a reciprocal. Decimal numbers have reciprocals too! It is mandatory to procure user consent prior to running these cookies on your website.