What is additive inverse property

Additive inverse is what you add to a number to make the sum zero. For example, the additive inverse of 4 is -4 because their sum is zero. When two numbers are added together to get 0, then we say both the numbers are additive inverses of each other.

Just change the sign of the given number and we get its additive inverse. For example, the additive inverse of 8 is The additive inverse of is Since zero does not have a positive or negative sign associated with it, the additive inverse of zero is zero. No, additive inverse and the additive identity are not the same. The additive inverse of a given number is got by just reversing its sign.

Together the given number and its additive inverse give 0. Whereas, the additive identity of any given number is 0, as the additiion of the given number and zero gives the same number.

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.

Learn Practice Download. Additive Inverse Additive inverse is what number you add to a given number to make the sum zero. What is Additive Inverse? Additive Inverse Property 3. Additive Inverse of Real Numbers 4.

Additive Inverse of Complex Numbers 5. Additive Inverse Formula 6. Additive Inverse in Algebraic Expressions 7. An additive inverse, on the other hand, only applies to addition as the name suggests, and it's the number you add to another to get zero.

The additive inverse of any number is the same number with the opposing sign. You may intuitively see that the additive inverse of any number is the same number with its opposite sign. To really grasp this, it helps to envision a line of numbers and work through a few examples. Imagine that you have the number 9. To "get" to that spot on the number line, you start at zero and count back up to 9.

To get back to zero, you count 9 spaces backwards on the line, or in the negative direction. Or, to put it another way, you have:.

So you have:. This is essentially the same as subtracting 2 from 2. Show Solution Check. Related Lessons. View All Related Lessons. Zora Gilbert. Adding a negative and a positive of the same number will equal 0 The Inverse Property of Addition states the following: Adding a number and it's negative version of itself yields 0. Eunji Kwon. Inverse Property of Addition The inverse property of addition states: If you add the positive and negative versions of a number, the sum will be 0.

Image by Caroline Kulczycky. Let's look at some problems you might encounter about the inverse property of addition. Opposite quantities cancel each other out When you add positive and negative versions of the same number together, they will always equal zero. Find 4 the first number. Find Find -4's position relative to 0. Find the same position relative to the first number 4. Move to the right 4 spaces from -4 to get 0.