Best Answer

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

More answers

Because that is how the opposite is defined!

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

When the number is non-positive.

Yes, it will always be irrational.

The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.

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

Only if the rational number is 0.

Related questions

the number 0 is always equal to its opposite

When the number is 0.

When the number is non-positive.

No. If the rational number is not zero, then such a product is irrational.

Yes, always.

The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.

Yes, it will always be irrational.

Yes, except in the degenerate case where the rational number is 0, in which case the product is also 0, a rational result.

The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.

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

Only if the rational number is 0.

No, never.