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What statement about rational and irrational numbers is always true?

Updated: 4/28/2022

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Rational numbers can be expressed as fractions whereas Irrational Numbers can't be expressed as fractions

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Q: What statement about rational and irrational numbers is always true?

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Continue Learning about Algebra

Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.

When you divide two irrational numbers is it always irrational?

No. If x is irrational, then x/x = 1 is rational.

Is 10x 3.14 irrational?

The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.

Is it true that if you add two irrational numbers you will always get a rational number?

yes

Is the product of a nonzero rational number and an irrational number rational or irrational?

It is always irrational.

Related questions

Are whole numbers rational or irrational?

Whole numbers are always rational

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.

Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.

Are the sum of two rational numbers rational or irrational?

They are always rational.

Is the quotient of two irrational numbers is irrational?

In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.

Is real number is always a rational number?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.

The sum of rational numbers and an irrational number?

It is always an irrational number.

Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.

Is the product of two rational numbers irrational?

The product of two rational numbers is always a rational number.

Are some rational numbers are irrational numbers?

Numbers cannot be rational and irrational at the same time.

When you divide two irrational numbers is it always irrational?

No. If x is irrational, then x/x = 1 is rational.

Is 1210 a irrational number?

Whole numbers are always rational.

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