what is additive inverse math

by Prof. Charlotte Marks DVM Published 3 years ago Updated 2 years ago

Additive Inverse

Properties. Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.
Additive Inverse of Different Numbers. We have understood that an additive inverse is added to a value to make it zero. ...
Difference Between Additive Inverse and Multiplicative Inverse. ...

Full Answer

How to solve additive inverse?

Complete the table. x 5 x 5 15 25 40 90
Complete the flow diagrams.
Explain how you completed the table.

Which integer is equal to its additive inverse?

Additive Inverse of Number 10: As Per Definition the Additive Inverse is the Number we get when we subtract it with Zero i.e, Additive Inverse = 0-10 = -10. The Only Number that is equal to its Additive Inverse is 0. Because 0 When subtracted with 0 results 0. i.e, Additive Inverse of 0 = 0-0 = 0.

What is the sum of a number and its additive inverse?

The sum of a number and its additive inverse is 0 Step-by-step explanation: The additive inverse of a number is what you add to a number to create the sum of zero. So in other words, the additive inverse of x is another number, y, as long as the sum of x + y equals zero.

Which rational number is its own additive inverse?

Zero is its own additive inverse. In other words, the additive inverse of a rational number is the same number with opposite sign. If a is a rational number then its additive inverse is -a meaning a+ (-a) = 0. Just change the sign of the rational number !

What is additive inverse in math?

Definition of additive inverse : a number that when added to a given number gives zero the additive inverse of 4 is −4 — compare opposite sense 3.

What is a additive inverse example?

For example, the additive inverse of 7 is −7, because 7 + (−7) = 0, and the additive inverse of −0.3 is 0.3, because −0.3 + 0.3 = 0. Similarly, the additive inverse of a − b is −(a − b) which can be simplified to b − a.

What is the additive inverse of 5?

−5Now the additive inverse of 5 is −5 as 5+(−5)=(−5)+5=0.

What is the additive inverse of 3?

-33 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

What is the additive inverse of 8?

-8Additive inverse refers to any number that when added to the original number gives the result as zero. For instance, the additive inverse of 8 is -8 as 8 + (-8) = 0.

What is the additive inverse of 4 by 5?

-4/5Additive inverse is the number that is added to a given number to make the sum zero. For example, if we take the number 3 and add -3 to it, the result is zero. Hence, the additive inverse of 3 is -3....Additive Inverse of Real Numbers.ExampleGiven NumberAdditive InverseFractions-4/54/5Decimals2.5-2.53 more rows

What is the additive inverse of 2?

−2the number in the set of real numbers that when added to a given number will yield zero: The additive inverse of 2 is −2.

What is the additive inverse of 2 by 8?

-2/8The additive inverse of 2/8 is -2/8.

What is the additive inverse of 2 3?

-2/3In mathematics, the additive inverse of a number 'a' is the number that, when added to 'a', yields zero. Therefore, the additive inverse of 2/3 is -2/3.

What is the additive inverse of 2 by 5?

−25It turns out that only one additive inverse exists for each element. For example, over the rational numbers, the additive inverse of 25 is −25 and the additive inverse of −5 is 5.

What is the additive inverse of (- 15?

Solution : The additive inverse of 15 is – 15.

What is the additive inverse of negative 12?

Additive Inverse of 12 = -12 The two addends in an addition equation are interchangeable, which means that the answer to "What is the additive inverse of -12?" or "What is the additive inverse of negative 12?" is 12. Since the additive inverse of 12 is -12, additive inverse is also known as the opposite number.

1. Mention some points on the difference between additive inverse and multiplicative inverse?

The difference between additive inverse and the multiplicative inverse is listed below in a tabular form.Additive InverseMultiplicative InverseThe...

2. Is additive inverse and additive identity the same?

No. Additive inverse is added to get the answer as zero. But, in case of additive identity, we add a zero so as to get the result as the original n...

3. What are the properties of additive inverse?

Some of the properties of additive inverse are listed below:Additive inverse of a number is strongly linked with the subtraction, which can be obse...

How to find the additive inverse of a number?

The general formula for the additive inverse of a number can be given in the form of a number itself. Any number when added to its negative will cancel out each other and give the overall sum as zero. This is what we do to find out the additive inverse of any given number. Thus, we need to find the negative of that given number.

What happens when you add a number to the additive inverse?

In other words, if a number is added to its additive inverse, the sum of both the numbers becomes zero. For example, if we take the number 3 and add -3 to it, the result is zero. Hence, the additive inverse of 3 is -3. Even in real life, everything that we see around can be brought to zero if you find the exact inverse of it.

What is the difference between a multiplicative and an additive inverse?

Additive inverse is what you add to a number to make the sum zero, whereas, the multiplicative inverse is the reciprocal of the given number, which when multiplied together, gives the product as 1.

What is additive inverse?

The additive inverse is also known as the opposite number, sign change, negation. For a real number, it changes its sign. The additive inverse of a positive number is always negative whereas the additive inverse of a negative number is always positive. The ‘0’ is the only digit with its additive inverse being itself.

How to find the absolute difference of two rational numbers?

1. Add the rational number 5/3 and its additive inverse. Solution: Step 1: The additive inverse of 5/3 is -5/3. Hence, we have to find 5/3 + (- 5/3) Step 2: As we can see in the above addition, both the rational numbers have opposite signs, we have to determine the absolute difference of them without the actual sign.

What is complex number?

A complex number is defined as a sum of a real number ‘a’ and imaginary number ‘bi’. Hence, the complex number of Z can be represented as a sum of real number ‘a’ and imaginary number ‘bi’.

What is Additive Inverse?

Every real number has its own unique inverse - that is, each number has an inverse, and this inverse is different from every other number's inverse. When a number and its inverse are combined, the result is always another specific number known as an identity. This means that inverses are always defined in relation to an identity.

Additive Inverse Examples

One of the most common applications of the additive inverse is in solving linear equations. Consider the equation

How to Find the Additive Inverse

For any real number, the additive inverse is simply that same number, with a negative sign "in front of it". What does this mean in more compicated cases, however? The negative case we have seen above. The additive inverse of {eq}-200 {/eq}, for example, is {eq}- (-200) {/eq}.

How to Find The Additive inverse?

The additive inverse of any given number can be found by changing the sign of it. The additive inverse of a positive number will be a negative, whereas the additive inverse of a negative number will be positive. However, there will be no change in the numerical value except the sign. For example, the additive inverse of 8 is -8, whereas the additive inverse of -6 is 6. The additionof a n…

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Properties

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. The properties of additive inverse are given below, based on negation of the original number. For example, x is the original number, then its additive inverse is -x. So, here we will see the properties of -x. 1. −(−x) = x 2. (-x)2 = x2 3. −(x + y) = (−x) + (−y) 4. −(x …

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Additive Inverse of Different Numbers

We have understood that an additive inverse is added to a value to make it zero. Now this value can be a natural number, integer, rational number, irrational number, complex number, etc. Let us find the additive inverse of different types of numbers.

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Difference Between Additive Inverse and Multiplicative Inverse

Additive inverse and multiplicative inverse, both have different properties. See the below table to know the differences.

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Backtrace

19. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
20. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
22. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
23. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
24. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata
Backtrace	24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35 25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33 27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54 28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45 29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata

Backtrace

24. /vendor/outl1ne/nova-menu-builder/src/Models/Menu.php:35
25. /vendor/outl1ne/nova-menu-builder/src/helpers.php:33
27. /vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
28. /vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:45
29. /vendor/laravel/framework/src/Illuminate/Routing/Route.php:261

Metadata
Bindings	0. publish
Backtrace	14. /app/View/Composers/SidebarView.php:22 15. /app/View/Composers/SidebarView.php:12 16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124 17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162 20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

Metadata

Bindings

0. publish

Backtrace

14. /app/View/Composers/SidebarView.php:22
15. /app/View/Composers/SidebarView.php:12
16. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:124
17. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
20. /vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177

Metadata
Bindings	0. 5136
Backtrace	21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15 23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108 24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58 25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69 26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61

Metadata

Bindings

0. 5136

Backtrace

21. view::2dd102cf0462e89a4d4d8bc77355d767652bf9aa:15
23. /vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:108
24. /vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
25. /vendor/livewire/livewire/src/ComponentConcerns/RendersLivewireComponents.php:69
26. /vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:61

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