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The elements of the set ... -2, -1, 0, 1, 2, ... are known as integers

Q: What is it when all whole numbers and their opposites are?

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The set of integers (ℤ) is the set of the positive whole numbers and their additive opposites (the negative whole numbers).

Integers are whole numbers without decimals or fractions.

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J

Yes, because natural numbers are your counting numbers (1,2,3,4...) Whole numbers are natural numbers and zero (0,1,2,3...) and integers are all of the natural numbers and their opposites and zero (...-3,-2,-1,0,1,2,3...).

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The set of all whole numbers and their opposites are

The set of integers (ℤ) is the set of the positive whole numbers and their additive opposites (the negative whole numbers).

describe the whole numbers

The set of whole numbers includes all their additive opposites. So the set is the same as the one you started with.

Assuming that you mean opposites (rather than oppisites), the answer will depend on what kind of opposites: additive opposites or multiplicative opposites.In the first case you have the same set as you started with: whole numbers.In the second, you will have the set that consists of the union ofall whole numbers,all unit fractions between -1 and +1. But, you have a problem with zero: its multiplicative opposite is not defined.

integer

That is called the set of "integers".

Apart from zero (which is its own opposite), the opposites of whole numbers are also whole numbers. You have the set of whole numbers which is also known as the set of integers.

Integer

rational

Integers are whole numbers without decimals or fractions.

INTEGERS