Math, asked by sujatasachin13, 9 months ago

rational numbers in terminating form

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Answered by pragatiairara820
1

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Answered by XxItzkillergirlXx
14

 \huge{ \underline{ \mathbb{ \red{Rational  \: Numbers}}}}

Rational numbers sound like they should be very sensible numbers. In fact, they are. Rational numbers are simply numbers that can be written as fractions or ratios (this tells you where the term rational comes from). The hierarchy of real numbers looks something like this:

Real Numbers: Any number that can name a position on a number line is a real number. Every position on a number line can be named by a real number in some form.

An important property of real numbers is the Density Property. It says that between any two real numbers, there is always another real number.

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions.

An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

A terminating decimal can be written as a fraction simply by writing it the way you say it: 3.75 = three and seventy-five hundredths = , then adding if needed to produce a fraction: . So, any terminating decimal is a rational number.

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