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Because 4 + (-4) = (-4) + 4 = 0, the additive identity.

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Q: Why 4 and negative 4 are additive inverses?
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Related questions

What is the additive inverses of -4?

The additive inverse is +4


Can the additive inverse of any rational number negative?

Yes, almost half of them have additive inverses which are negative.


What is the relationship of negative 15 and positive 15?

They are additive inverses.


When is the sum of a positive integer and a negative integer 0?

When the two numbers are additive inverses, for example, 4 and -4. Actually that's how "additive inverse" is defined.


What does the word inversely mean in math?

There are two main types of inverses. Additive inverses total zero. Any number and its negative are inverses. 3 and -3 are inverses. Multiplicative inverses total 1. 3/4 and 4/3 are inverses. 3/4 x 4/3 = 12/12 = 1 Most often, the word inversely in math means upside down.


What do you call a negative and a positive number that is the same distance away from zero?

A pair of additive inverses. If the word "additive" is not used, there is no way of differentiating from multiplicative inverses: x and 1/x which multiply to 1.


Are negative and inverse relationships the same?

Not necessarily. Negatives are called opposites, or additive inverses. Inverses is much more general. For example, the inverse of an exponent is a logarithm.


What is 4 and -4 called?

8


What is the definition negative integers?

These are integers that are less than 0. Counting backwards, they are -1, -2, -3, -4 etc. They are the additive inverses of the positive integers.


If a plus b equals 0 what can you say about the component?

That a and b are additive inverses of one another.


What contexts allows negative numbers?

Closure of the set of numbers under subtraction or, equivalently, the existence of additive inverses.


What are the characteristics of additive inverses?

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