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Is a rational number plus a rational number rational?

Updated: 9/18/2023

Wiki User

∙ 11y ago

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Yes. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.

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∙ 11y ago

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Continue Learning about Math & Arithmetic

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

No, never.

Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?

The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.

Can you subract an rational and irrational number and get an irrational number?

Yes. In fact, a rational plus or minus an irrational will always be irrational.

Is 13.92 plus 1.08 a rational number?

Yes.

What is an irrational plus two rational numbers?

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.

Related questions

If x is a rational number and y is a rational number than is x plus y rational?

If both numbers are rational then x plus y is a rational number

Is a rational number plus a rational number always a rational number?

Yes, it is.

Is a Rational number plus rational number equals rational number?

Yes, the sum is always rational.

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

No, never.

Is 17 plus 0.02 rational or irrational?

They add up to 17.02 which is rational number

Why does a rational number plus a rational number or a rational number multiplied by a rational number equal to rational number?

The way in which the binary functions, addition and multiplication, are defined on the set of rational numbers ensures that the set is closed under these two operations.

Is 15 plus 0.07 a rational or irrational numer?

The sum is a rational number.

Is 12 plus 0.05 rational or Irrational number?

It can be written as a fraction, so it is rational.

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

Yes

Is 3 plus 5 is rational number?

Yes

Can you subract an rational and irrational number and get an irrational number?

Yes. In fact, a rational plus or minus an irrational will always be irrational.

Is 7 plus 5 rational?

Yes, because 7+5 = 12 which is a rational number

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