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What is the sum of any rational number and its opposite explain?

Anonymous

∙ 8y ago

Updated: 9/26/2023

If the opposite is meant to be the additive opposite and not the multiplicative opposite, then their sum is zero. The reason is that is what defines an additive opposite!

Wiki User

∙ 7y ago

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Q: What is the sum of any rational number and its opposite explain?

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Which subset of the real number system contains the most rational number and explain why?

The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.

What number produces a rational number when added to 15?

Any other rational number.

Is the square root of 133 irrational or rational explain?

It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.

Is 34 over 8 rational?

Yes. Any rational number divided by any other rational number is a rational number.

Must the opposite of a rational number be a rational number?

No. A rational number is one that may be represented as a simple multiple, or a division. Such as one times seven, or three times seven; OR one divided by seven, or three divided by seven. Or similar.A rational number, if a fraction, when multiplied by the divisor of the fraction, will give a simple whole number. e.g. 7/5, when multiplied by 5 becomes the whole number 7.An irrational number is one that cannot be formed by a simple ratio, or a simple division. e and pi are a couple of common irrational numbers. [irrational demonstrates where the name comes from.]No number can be found which will convert them, by multiplication, into a whole number.

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Related Questions

Which number can be added to a rational number to explain that the sum of rational number and an irrational number is irrational?

Any, and every, irrational number will do.

Which subset of the real number system contains the most rational number and explain why?

The set of all rational numbers.If the set contains all of them then no other set can contain any more rational numbers.

What is the sum of any rational number and its opposite?

If we define "opposite" as the additive inverse, the sum is zero.

Is the square root of 133 irrational or rational explain?

It is irrational. 133 = 7*17 and so is not the square of any rational number. Therefore its square root cannot be rational.

What number produces a rational number when added to 0.42?

Any other rational number.

What number produces a rational number when added to 15?

Any other rational number.

Is 34 over 8 rational?

Yes. Any rational number divided by any other rational number is a rational number.

What type of number is the sum of any whole number and any rational number?

It is a rational number.

Is 5 over 9 rational?

Yes. Any rational number divided by another rational number is also rational.

Why is any number rational?

Any number is NOT rational. In fact, there are more irrational numbers than there are rational.

Must the opposite of a rational number be a rational number?

No. A rational number is one that may be represented as a simple multiple, or a division. Such as one times seven, or three times seven; OR one divided by seven, or three divided by seven. Or similar.A rational number, if a fraction, when multiplied by the divisor of the fraction, will give a simple whole number. e.g. 7/5, when multiplied by 5 becomes the whole number 7.An irrational number is one that cannot be formed by a simple ratio, or a simple division. e and pi are a couple of common irrational numbers. [irrational demonstrates where the name comes from.]No number can be found which will convert them, by multiplication, into a whole number.

What numbers will produce a rational number when multiplied?

Any number will be a rational number when multiplied.0 multiplied by any real number is rational and so it will produce a rational number when multiplied.If x is any non-zero number (rational or not), then since it is non-zero, 1/x is defined and x*(1/x) = 1 which is rational. So any non-zero number will produce a rational number when multiplied.Thus any number will produce a rational number when multiplied.

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