Solved Examples
| Additive Inverse | Multiplicative Inverse |
| The additive inverse of a number is defi ... | The multiplicative inverse of a number i ... |
| It obtains the result 0 | It obtains the result 1 |
| Sign of the original number is first cha ... | Reciprocal of the original number is mul ... |
| Example, 76 + ( -76) = 0 | 76 * (1/76) = 1 |
What does additive inverse stand for?
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero.This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the additive inverse (opposite number) of a positive number is negative, and the additive inverse of a negative number is positive. Zero is the additive inverse of itself.
What does additive inverse look like?
- Commutative Property of Addition. 6 + 9=9 + 6.
- Commutative Property of Multiplication. 4 x 7=7 x 4.
- Associative Property of Addition. (3 + 6) +1 = 3 + (6+1)
- Associative Property of Multiplication. (5 x 9) x 2=5 x (9 x 2)
- Additive Identity. 5 + 0 = 5.
- Multiplicative Identity.
- Multiplication Property of Zero.
How do you use additive inverse in the real world?
In addition to the identities listed above, negation has the following algebraic properties:
- − (−a) = a, it is an Involution operation
- − (a + b) = (−a) + (−b)
- − (a - b) = b − a
- a − (−b) = a + b
- (−a) × b = a × (−b) = − (a × b)
- (−a) × (−b) = a × b notably, (−a)2 = a2
What are the characteristics of additive inverses?
Things To Remember
- The additive inverse of a number is a value that gives a net outcome of zero when added to the original number.
- The additive inverse of a number will be the opposite number of it which simply means it will have the opposite sign.
- The formula to find the Additive Inverse of a number ‘p’ will be (-1) x p.
How do you do an additive inverse?
0:051:35Math Shorts Episode 1 - Additive Inverse - YouTubeYouTubeStart of suggested clipEnd of suggested clipFor example positive 3 on the right of the number line has an additive inverse of negative 3 on theMoreFor example positive 3 on the right of the number line has an additive inverse of negative 3 on the left of the number. Line. So 3 is 1 two three spaces right of zero likewise the additive inverse.
What is the additive inverse of Z?
−zThus additive inverse of z is −z.
What is the additive inverse examples?
The additive inverse of a is denoted by unary minus: −a (see also § Relation to subtraction below). 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.
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 multiplicative inverse of Y?
The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse.
Which is the additive inverse of 1?
Note that over GF(2), the additive inverse of 1 is 1 because 1+1=0 and the multiplicative inverse of 1 is 1.
What is the additive inverse of 7?
Hence the additive inverse of −7 is 7.
What is the additive inverse of 5?
−5Now the additive inverse of 5 is −5 as 5+(−5)=(−5)+5=0.
What's the additive inverse of 6?
−6Hence, −6 is the additive inverse of 6.
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 inverse of 4?
The multiplicative inverse of 4 is 1/4.
What is the additive inverse of 12?
−12The additive inverse of 12 is −12.
What is the additive inverse of 5?
−5Now the additive inverse of 5 is −5 as 5+(−5)=(−5)+5=0.
What is additive inverse of a B?
=>z=−ba. Was this answer helpful?
Which is the additive inverse of 6?
−6Hence, −6 is the additive inverse of 6.
Is the additive inverse of 3?
3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.
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’.
Formula to Find Additive Inverse Property
As per the definition of additive inverse property, the additive inverse of number A states as A + (-A) = 0. If we take X as a number and Y as an additive inverse number then add both and the result should be zero. ie., X+Y=0. Then, Y = -X
Easiest Method To Find Additive Inverse
One of the best and easiest method to calculate the additive inverse property for a number is adding the opposite sign number to the actual number where it results as zero.
FAQs on Additive Inverse Calculator
The additive inverse of a number is defined as a number that we add with the actual number and it results in Zero.
How to do additive inverse?
To use the additive inverse tool, follow the steps given below: Step 1: Enter any numeric value in the first input box i.e. across the “Number” column. Step 2: Click on “Calculate Additive Inverse” Calculator. Step 3: Get the additive inverse of the entered number across the “Number” box.
What is additive inverse calculator?
The additive inverse calculator is a free online tool which can find the additive inverse of any number that is entered. For example, if any number, say, 10 is entered, the tool will find the additive inverse of 10 and give the result as -10.
