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yifli

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In summary, rational numbers are numbers that can be expressed as a fraction of two integers, with the denominator not being equal to zero. A rational number is said to be in the range of [0,1] if its decimal representation falls between 0 and 1, including 0 and 1. To determine if a given number is a rational number in the range of [0,1], one must first check if it can be expressed as a fraction of two integers and if its decimal representation falls within the range of [0,1]. Irrational numbers cannot be included in the set of rational numbers in [0,1] as they cannot be expressed as a fraction of two integers and have infinite, non-repeating decimal representations

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yifli

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Hi yifli!

What you said is entirely correct!

What you said is entirely correct!

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not equal to zero. Examples of rational numbers include 1/2, 3/4, and -5/6.

A rational number is said to be in the range of [0,1] if its decimal representation falls between 0 and 1, including 0 and 1. For example, 0.5 and 0.75 are rational numbers in the range of [0,1].

To determine if a number is a rational number in the range of [0,1], it is important to first check if the number can be expressed as a fraction of two integers. Then, check if the decimal representation of the number falls between 0 and 1. If both conditions are met, then the number is a rational number in the range of [0,1].

No, irrational numbers cannot be included in the set of rational numbers in [0,1]. Irrational numbers cannot be expressed as a fraction of two integers, and their decimal representation is infinite and non-repeating, making them unable to fall within the range of [0,1].

The set of rational numbers in [0,1] is important in mathematics because it represents a fundamental concept in number theory and is essential in understanding and solving mathematical problems involving fractions and decimals. It also serves as a foundation for more advanced mathematical concepts and theories.

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