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Because the opposite of 8 for example is -8 and 8+(-8) = 0

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11y ago
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6y ago

Because that is how the opposite is defined!

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Q: Why is the sum of a rational number and it's opposite always equal to 0?
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Related questions

What number is equal to a opposite?

the number 0 is always equal to its opposite


When are the absolute value and the opposite of rational number equal?

When the number is 0.


When it went off absolute value and the opposite of a rational number equal?

When the number is non-positive.


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.


Does an irrational plus a rational number equal an irrational number?

Yes, always.


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.


Can an irrational number minus a rational number equal an irrational number?

Yes, it will always be irrational.


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.