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# Math Assignment Help With Inverse Operations And Reciprocals

## What are Inverse Operations?

❶Help and Review 18 chapters lessons. The first step is to remember that the inverse operations of addition and multiplication are subtraction and division.

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The inverse of addition is subtraction and vice versa. The inverse of multiplication is division and vice versa. Take this simple addition problem: The same is true for multiplication and division: These are very simple examples, but the rule holds true for even complex addition, subtraction, multiplication, and division problems. 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. To unlock this lesson you must be a Study. 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.

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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. Try refreshing the page, or contact customer support.

You must create an account to continue watching. Register to view this lesson Are you a student or a teacher? I am a student I am a teacher. What teachers are saying about Study. 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.

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## 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.