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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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Does every integer have an opposite?
An additive opposite, yes. A multiplicative one, no.
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.
What integer is the opposite of -6?
The opposite of an integer is the integer that, when added to it, results in a sum of zero. In this case, the opposite of -6 is 6, since -6 + 6 = 0. The opposite integer is also known as the additive inverse.
What is the sum of an integer and its opposite integer will always be zero?
yes
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).
