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# Inverse Operations in Math: Definition & Examples

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## You must create an account to continue watching   The additive inverse property states that when you add a number to its opposite, the result is always 0. The multiplicative inverse property states that when you multiply any number by its opposite, the result is always 1. The additive property states that when you add any number to zero, the result is the same number. The multiplicative property states that any time you multiply a number by 1, the number does not change.

In order to solve this problem, we must isolate the x on one side of the equation. The first step is to remember that the inverse operations of addition and multiplication are subtraction and division. The next step is to divide both sides by 2, since division is the opposite of multiplication. If you are unsure, you can always go back and check your answer. To do this, substitute 7 for x in the original problem. Get access risk-free for 30 days, just create an account.

First, subtract 9 from both sides: Then multiply each side by 4. Trigonometric functions such as sine, cosine, and tangent also have inverses. They are called the arcsine, arccosine, and arctangent. Inverse trigonometric functions can be used to solve for the angle of a right triangle when you only know the lengths of at least two sides.

For example, say you need to reach the second story window of your house, which is 10 feet off the ground. Your ladder is 18 feet tall. At what angle x do you have to place your ladder to reach the window? Mathematically, inverse operations are opposite operations. Addition is the opposite of subtraction; division is the opposite of multiplication, and so on. Inverse operations are used to solve simple algebraic equations to more difficult equations that involve exponents, logarithms, and trigonometry.

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By creating an account, you agree to Study. Explore over 4, video courses. Find a degree that fits your goals. Inverse Operations in Math: Most operations have an inverse.

This lesson describes the most common operations and their inverses, and it provides some examples and a quiz to cement your knowledge. Try it risk-free for 30 days. An error occurred trying to load this video.

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Are you still watching? Your next lesson will play in 10 seconds. Add to Add to Add to. Want to watch this again later? Commutative Property of Multiplication: Identity Property of Addition: How to Multiply by Powers of The Multiplication Property of Zero: Subtraction Property of Equality: Division Property of Equality: Big Ideas Math Algebra 1: McDougal Littell Algebra 2: What are Inverse Operations?

Properties of Inverses There are four mathematical properties that deal with inverses. The Additive Inverse Property The additive inverse property states that when you add a number to its opposite, the result is always 0. Try it risk-free No obligation, cancel anytime. Want to learn more? Select a subject to preview related courses: All algebraic problems can be solved in this manner. Other Inverse Operations There are other inverse operations that can help you solve more difficult problems: The inverse of an exponent is the root.

Lesson Summary Mathematically, inverse operations are opposite operations. Learning Outcomes Once you are done, you should be able to: Identify the inverse operations State the properties of inverse operations Solve an algebraic problem using inverse operations. Unlock Your Education See for yourself why 30 million people use Study. Become a Member Already a member? Earning College Credit Did you know… We have over college courses that prepare you to earn credit by exam that is accepted by over 1, colleges and universities.

To learn more, visit our Earning Credit Page Transferring credit to the school of your choice Not sure what college you want to attend yet? Browse Articles By Category Browse an area of study or degree level. You are viewing lesson Lesson 16 in chapter 11 of the course:. The answer goes in position 1, 2. Now we multiply 2nd row of the first matrix and the 1st column of the second matrix.

The answer goes in position 2, 1. Finally, we multiply 2nd row of the first matrix and the 2st column of the second matrix. The answer goes in position 2, 2. No other question has ever moved so profoundly the spirit of man. I am ever more convinced that the necessity of our geometry cannot be proved -- at least not by human reason for human reason. I designed this web site and wrote all the lessons, formulas and calculators. If you want to contact me, probably have some question write me using the contact form or email me on.

Math Calculators, Lessons and Formulas It is time to solve your math problem. Simplifying Adding and Subtracting Multiplying and Dividing. Simplifying Multiplying and Dividing Adding and Subtracting. Introduction Exponential Equations Logarithmic Functions. Arithmetic Progressions Geometric Progressions. Substitution Integration by Parts Integrals with Trig. Area Volume Arc Length. Line in 3D Planes. Definitions Addition and Multiplication Gauss-Jordan elimination.

Introduction to Determinants Applications of Determinants. Random Quote The infinite! ## Main Topics

In another words, two operations are said to be inverse of each other, if one of them undoes the effect of another. Addition and Subtraction are inverse operation of each .

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In mathematics, an inverse operation is an operation that undoes what was done by the previous operation. The four main mathematical operations are addition, subtraction, multiplication, division. The inverse of addition is subtraction and vice versa.