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The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems. The numbers 1,2,3,... etc are called natural numbers or counting numbers. Integers are the natural numbers plus zero plus the negative ( or opposite ) natural numbers. Why do we need negative natural numbers ? For one thing x + 1 = 0 is an equation whose solution is x = -1. We could not solve this equation if we did not have negative integers. So over history these negative numbers came about as a way to solve certain math problems.

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Q: Why does every integer have an opposite?
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Related questions

Does every integer have an opposite?

An additive opposite, yes. A multiplicative one, no.


What is the opposite integer of 4?

The opposite integer of 4 is -4. In mathematics, the opposite of a number is its additive inverse, which means the number that, when added to the original number, results in zero. Therefore, the opposite integer of 4 is -4 because 4 + (-4) = 0.


Is the opposite of an integer an integer?

yes. the opposite of a positive integer is the same except negative and vice versa ( ex: the opposite integer of -6 is 6. if you multiply them, it equals zero)


Is the absolute value of every integer its opposite?

No. The absolute simply returs the positive of any integer. ABS(6) = 6 and ABS(-6) = 6.


Is the quotient of an integer and its opposite always positive?

the quotient of an integer and its opposite is never negative.


What is the opposite word for the integer number?

A non-integer.


What is the opposite of a positive integer?

a negative integer or a fraction (as in 1/integer) or a negative fraction (as in -1/integer).


What is the sum of an integer and its opposite integer will always be zero?

yes


What is the opposite of the integer?

-65


Is every integer a rational number or is every rational number an integer?

Every integer is a rational number.


Is every integer iratinal?

Every integer is rational.


Why is an integer sometimes less than its opposite?

An integer can be negative or positive, so if the integer is, let's say, -6. The opposite, or absolute value, of -6, is 6. So in this case, the opposite has more value than the actual integer. Does that answer the question? :D Best of luck, BrandonRocker98