Reciprocal Definition and Examples

Relatedly, reciprocal can also be used as an adjective to mean opposite or inversely related (which is just about the opposite of what reciprocal is generally used to mean). To perform such an action is to reciprocate, and the act of doing so is called reciprocation. For example, https://www.adprun.net/ when someone does you a favor, you can reciprocate by doing something nice for them. A remarkable identity of ideas and tastes, a ready and mutual sympathy, a reciprocal respect, soon made them friends. The safety net is rooted in human instincts about reciprocal exchange.

Reciprocal of a Fraction – Definition, Steps, Examples, FAQs

Reciprocal is another word for the multiplicative inverse. Try the free Mathway calculator andproblem solver below to practice various math topics. Try the given examples, or type in your ownproblem and check your answer with the step-by-step explanations. To find the reciprocal of 1/4, invert the numerator and denominator.

Examples of reciprocal in a Sentence

Raising any expression to the power of -1 is the equivalent of taking its reciprocal. Multiplying any expression by its reciprocal will result in 1. Using the additive inverse works for cancelling out because a number added to its inverse always equals 0. The verb form of the word is reciprocate; the adjective is reciprocal, and the adverb is reciprocally.

Reciprocal Formula – Definition, Examples, Practice Problems, FAQs

Inverse means opposite and reciprocal means equality. A reciprocal is a type of inverse but inverse is not necessarily a reciprocal. In math, the reciprocal of any quantity can be defined as 1 divided by that quantity. About 50% of every homeowner’s premium pays for the company’s reinsurance, which helps cover payouts from catastrophic events like major hurricanes.

FAQs on Reciprocal Definition

1. How many cows are in the farm if 7700 liters of milk is produced weekly.
2. To find the reciprocal of a Mixed Fraction, we first convert it to an Improper Fraction, then turn that upside down.
3. To find the reciprocal of a number, just flip its fraction form.
4. To reinforce our understanding, let’s work through some examples and test our knowledge with practice MCQs.

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. The reciprocal of a fraction can be determined by interchanging the values of the numerator and denominator. Now, you get the fraction and do the same operation for finding the reciprocal by flipping the numerator and the denominator. The reciprocal of a fraction can be found by interchanging the numerator and the denominator values. It is also expressed by the number raised to the power of negative one and can be found for fractions and decimal numbers too.

Find the reciprocal of $-\;\frac19$.

You can find many more informative articles on the QuickBooks blog. Check out our other articles on an invoice and the differences between a receipt and an invoice. This is because they help to establish complete and accurate recordkeeping.

To find the reciprocal of a decimal number, just divide one by the decimal number or write one over the number. The reciprocal of a fraction is a fraction obtained when should a company use last in first out lifo by switching the values in the numerator and the denominator of the given fraction. Using exponents, given a number, n, the reciprocal can also be written as n-1.

But to his surprise, his insurance company identified him as a high risk for hurricane damage, along with 100,000 other policyholders. The reciprocal method uses simultaneous equations to allocate the costs incurred by service departments to other departments; allocations are also made between the service departments. This method results in an accurate distribution of costs. The method is rarely used, since there are somewhat less accurate methods available that require fewer calculations.

We are already familiar that the reciprocal of a number is the inverse of the given number and we can easily find it for any number by writing 1 over it. We can find the reciprocal of natural numbers, integers, fractions, decimals, as well as mixed fractions. In mathematics, a reciprocal is simply a fraction that has been flipped upside-down. The following video will show how to find the reciprocal of fractions.

You find the inverse of a fraction by exchanging the numerator (top number) with the denominator (bottom number) – taking the reciprocal of the fraction. For example, the inversion of the fraction 5/4 is 4/5. The name reciprocal comes from Latin, possibly from the phrase reque proque, meaning back and forth. The reciprocal number to x may be denoted simply as 1/x but also as x-1. Thus, raising the number to the power of minus one is the same as finding its reciprocal.

The numerators get multiplied, and the denominators get multiplied. In Maths, reciprocal is simply defined as the inverse of a value or a number. If n is a real number, then its reciprocal will be 1/n. It means that we have to convert the number to the upside-down form. For example, the reciprocal of 9 is 1 divided by 9, i.e. 1/9. Now, if we multiply a number by its reciprocal, it gives a value equal to 1.

Make study-time fun with 14,000+ games & activities, 450+ lesson plans, and more—free forever. It’s essential to record the sales you make for your business. Receipts prove the goods or services you have exchanged for money. Without receipts, you risk the buyer, seller, and your business being unable to prove a transaction has taken place. For example, to find the reciprocal of 0.25, first convert decimal to fraction. The reciprocal of a fraction is obtained by interchanging its numerator and denominator.

For decimals, we can either convert the decimal to fraction form, or divide 1 by the decimal using long division or another method. Let’s move ahead and solve a few examples and practice problems based on all these concepts. To find the reciprocal of a mixed fraction, we first need to convert it to an improper fraction.

In other words, we turn the number upside down, or interchange the numerator and denominator. A record of past business expenses also helps the company to plan for the future. This is useful for Small and Medium-sized Enterprises (SMEs) trying to find their way in the market. Gross receipts tax also helps businesses create budgets based on these past expenses. Just as consumers receive receipts from service providers or suppliers, businesses value receipts in business-to-business dealings and stock exchange transactions. If a fraction has a negative sign, its reciprocal also has a negative sign.

This receipt is created while writing out the handwritten receipt. Receipt notebooks have a carbon layer behind every receipt page. This allows the receipt to be traced onto the layer underneath for the seller to keep. Online retailers send out both an email receipt and packing slips that you’ll find in the package you ordered. The packing slip will contain additional information like the returns policy.

Because, if any reciprocal number is multiplied by 0, it will not give the product as 1. China ordered the US to close consulate in Chengdu. As far as I know, based on reciprocal principle, Chinese side also gave the consulate 72 hours to close. Chinese side notified the US side Friday morning Beijing time.

From the above examples, we can see that the multiplication of a number to its reciprocal gives 1. Hence, we can say that the number is multiplied by its reciprocal, we get 1. In other words, the reciprocal of a number is defined as the one divided by the given number. In maths, when you take the reciprocal twice, you will get the same number that you started with. In Mathematics, the reciprocal of any quantity is, one divided by that quantity. If the given number is multiplied by its reciprocal, we get the value 1.