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Q: What are example of both real and rational numbers?

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It is both. Rational numbers are numbers that can be written as a fraction. All rationals are real.

The rational numbers are a subset of the real numbers. You might recall that rational numbers are those that can be expressed as the ratio of two whole numbers (no matter how large they are). Irrational numbers, like pi, cannot. But both sets (the rational and irrational numbers) are subsets of the real numbers. In fact, when we look at all the numbers, we are looking at the complex number system. We break that down into the real and the imaginary numbers. And the real numbers have the rational and irrational numbers as subsets. It's just that simple.

The rational numbers, since it is a proper subset of the real numbers.

No. For example, pi is a real number, but it is irrational (it cannot be converted into an exact fraction).The reverse is true, however: all rational numbers are also real numbers.

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction. All rational numbers are real.

Related questions

No. All rational numbers are real. Rational numbers are numbers that can be written as a fraction.

Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)

Both rational numbers and integers are subsets of the set of real numbers.

Both are subsets of the real numbers.

It is both. Rational numbers are numbers that can be written as a fraction. All rationals are real.

Real numbers are both. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Yes. -3 is both rational and real. -3 is an integer. All integers are rational numbers. All rational numbers are real numbers. Thus -3 is a rational number and a real number.

Both irrational and rational are real. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

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

Both rational and irrational numbers are real numbers.

The set of real numbers is divided into rational and irrational numbers. The two subsets are disjoint and exhaustive. That is to say, there is no real number which is both rational and irrational. Also, any real number must be rational or irrational.

All rational numbers are real numbers.

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