Math Calculators ▶ Additive Inverse calculator
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Use this online additive inverse calculator that helps you to find the additive inverse of a number instantly and accurately. Get going through the article below that is packed with the complete guide about additive reciprocal calculations either manually or by using our free
In arithmetic analysis, the additive inverse is defined as:
“A particular number that yields zero on addition with the number given”
You may cope with any number format just like fraction, decimal, or square root. In such a situation, calculating the opposite or additive inverse seems a little bit difficult. But do not worry as the free additive inverse calculator readily does computations and provides you with the instant outputs. So what are your thoughts on it?
If you are up to that which number is the additive reciprocal of the given number, you are in search of the following formula in actual:
Additive Inverse = (-1) * Number
In mathematics, zero “0” is referred to as the additive identity. This is because when you add it in any number, fraction, or even decimal, you will get the original number again. Even the additive inverse of the zero is zero.
Below here, we have a table representing some of the most used additive inverse numerals of the numbers. Let’s go through these:
Number |
Additive Inverse |
8 |
-8 |
7/8 |
-7/8 |
-4/5 |
4/5 |
4/5 |
-4/5 |
22 |
-22 |
15 |
-15 |
4 |
-4 |
17 |
-17 |
16 |
-16 |
13 |
-13 |
2 |
-2 |
15 |
-15 |
7/8 |
-7/8 |
38 |
-38 |
34 |
-34 |
10 |
-10 |
-3 |
3 |
0 |
0 |
55 |
-55 |
For instant verification, you can also make use of this additive inverse calculator to get instant outcomes.
For complex numbers, the inverse additive property is almost the same. Let’s discuss it!
Suppose you are given a number as:
Z = a + b𝜾
You can calculate the additive inverse as under:
Additive Inverse = -Z = -(a + b𝜾)
As you know that the algebraic expressions are the ones that include variables along with real numbers. But the terminology remains the same here too. Let’s take an example!
Suppose you are given a polynomial as:
$$ ax^{2} $$
Now if you wish to calculate the additive inverse of the above polynomial, what you need to do is to add the negative same value to the original value.
Moreover, you can also simplify any algebraic expression by using our rational expression calculator.
Like every mathematical concept, the additive inverse also exhibits the following characteristics:
Right here, we will be resolving a couple of examples to highlight the concept of opposite or additive inverse and let you people understand it better. Stay focused and move on!
Example # 01:
Which number is the additive inverse of 23?
Solution:
Using the additive inverse formula:
Additive Inverse = (-1) * Number
Additive Inverse = (-1) * 23
Additive Inverse = -23
Example # 02:
How to find the additive inverse of 4?
Solution:
Keep following the equation for additive inverse calculations as follows:
Additive Inverse = (-1) * Number
Additive Inverse = (-1) * -4
Additive Inverse = 4
You can also cross check each and every answer calculated by this free additive inverse of a fraction calculator.
Keep going through the guide below that is arranged particularly to use this additive inverse of a fraction calculator.
Input:
Output:
The free additive property of length calculator calculates:
2 is the additive inverse of -2 that you could also verify instantly by employing our online additive inverse calculator.
It’s 8 exactly. Do not worry as we are going to explain it. Here the equation to compute the additive inverse is given as:
b = n – a
So we have:
n = 10, a = 2
b = 10 – 2
b = 8
This value can also be justified by this best additive inverse calculator.
As mentioned earlier , the sum of any number and its additive inverse is always equal to zero. So in this case, it will also be zero. Rest for verification, you may use this additive inverse of a fraction calculator.
The additive reciprocal of 9 is -9.
We have various real-life applications of additive inverse. For instance, suppose you walk 20 steps in a particular direction, and then move 20 steps back to the initial point. As a whole, you have not taken one step.
The absolute value is actually the distance from zero. And as distance can never be negative, the absolute value of both positive and negative numbers is positive. And additive inverse terminology is already aforementioned. We hope you have already gone through it and understood how to even use the additive property of length calculator.
It’s -ab. Let’s prove it!
ab + (-ab)
= ab – ab
= 0
The additive property of equivalency states that if you add or minus any number on both sides of the equation, the overall effect of the equation remains neutral.
Additive inverses help you resolve various complex computations in a matter of seconds. That is why in most of the mathematical terminologies, the concept of additive inverse is broadly employed so as to get precise results for any query. And when it comes to the fast and most accurate estimations, this simple to use additive inverse calculator is always there to help you people.
From the source of Wikipedia: Additive inverse, Common examples, Additive identity, Properties
From the source of Khan Academy: Inverse property
From the source of Lumen Learning: Additive and multiplicative inverse of a rational number, reciprocal of a fraction, Identity and Inverse