Additive Inverse
Q1: What is Additive Inverse of a Number?
Answer:
The additive inverse of a number is the number that when added to the original number, results in a sum of zero. For example, the additive inverse of 5 is -5 because 5 + (-5) = 0.
Q2: What are Properties of Additive Inverse?
Answer:
Some of the properties of additive inverse are:
- Every number has a unique additive inverse.
- The sum of a number and its additive inverse is always zero.
- The additive inverse of the additive inverse of a number is the original number.
Q3: How to find the Additive Inverse of a Number?
Answer:
To find the additive inverse of a number, you simply change the sign of the number. For example, the additive inverse of 8 is -8.
Q4: Can a Number have more than One Additive Inverse?
Answer:
No, a number can only have one additive inverse. This is because the additive inverse is unique and when added to the original number, must result in a sum of zero.
Q5: Can Every Number have an Additive Inverse?
Answer:
Yes, every number has an additive inverse, including negative numbers, fractions, and decimals.
Q6: Is the Additive Inverse of Zero the Same as Zero?
Answer:
Yes, the additive inverse of zero is also zero, because 0 + 0 = 0.
Q7: What is Difference Between Additive Inverse and Multiplicative Inverse?
Answer:
The difference between additive inverse and multiplicative inverse is that the additive inverse of a number is the number that when added to the original number results in zero, whereas the multiplicative inverse of a number is the number that when multiplied by the original number results in 1.
Additive Identity and Inverse of Complex Numbers
Additive Inverse is one of the most fundament topics in the stream of Algebra which is a branch of mathematics that deals with variables and numbers. Additive Inverse is also an important topic under the other branches such as Number Theory and Abstract Algebra. This article deals with this concept of Additive Inverse in good detail and also the method of finding Additive Inverse for each type of number such as Integers, Rational Numbers, Real Numbers, Complex Numbers, etc. as well as other mathematical structures such as Matrices.