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Why is the sum of a rational number and it's opposite always equal to 0?
Wiki User
∙ 2016-09-22 08:29:55
Because the opposite of 8 for example is -8 and 8+(-8) = 0
Wiki User
∙ 2013-01-05 11:17:18
Wiki User
∙ 2017-11-22 11:00:46Because that is how the opposite is defined!
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When are the absolute value and the opposite of rational number equal?
When the number is 0.
What number is equal to a opposite?
the number 0 is always equal to its opposite
When it went off absolute value and the opposite of a rational number equal?
When the number is non-positive.
Does an irrational plus a rational number equal an irrational number?
Yes, always.
Does a rational number times an irrational number equal a rational number?
No. If the rational number is not zero, then such a product is irrational.
Can an irrational number minus a rational number equal an irrational number?
Yes, it will always be irrational.
When are the absolute value and the opposite of a rational number equal?
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.
Is the product of an irrational number and a rational number always equal an irrational number?
Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.
What does a rational number times an irrational number equal?
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Why is the sum of a rational number and its opposite always equal 0?
Think of a numberline, Travle 5 sides to the negative side, and than 5 steps back , this is negative 5 and positive 5. This appplies for all rational numbers
Can a rational number be multiplied by an irrational number and equal a rational number?
Only if the rational number is 0.
Can a rational number plus an irrational number equal a rational number?
No, never.
