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The set of rational numbers (ℚ).

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โˆ™ 2012-11-01 21:29:13
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Q: What includes the integers and all terminating and repeating decimals in the real system?
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Why are rational numbers terminating or repeating decimal?

Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.

What is it called when fractions terminating repeating decimals integers and percents called?

They are called rational numbers

What are the 3 types of rational numbers?

If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.

Why is terminating and repeating decimals a rational number?

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Terminating or repeating decimals are the result of this.

Are all terminating and repeating decimals rational numbers and why?

Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.

What kinds of decimals are rational numbers?

There are two kinds of decimals that are rational: terminating and repeating. Terminating decimals are simply decimals that end. For example, the numbers after the decimal point for 3.14, 5.5, and 424.827598273957 don't continue on forever; i.e. they terminate. Repeating decimals differ from terminating decimals in that the numbers after the decimal point continue on forever. For example, the numbers 3.333333333..., 10.010101010101..., and .0356811111111111..., where the "...'s" mean that the numbers continue on indefinitely, are all repeating decimals. The reason why both of these types of decimals are considered rational is because both types can also be expressed as a fraction of two integers. Non-repeating decimals, such as pi and the square root of two, can't be expressed as a fraction of two integers, and so therefore are irrational.

What do you called the set of infinite decimals and non perfect square root?

The set of real numbers. Note that this also includes terminating decimals and integers.

How can a decimal be a rational number-?

Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.

Is 29 an irrational number?

Integers are rational. Also, terminating decimal numbers, as well as repeating decimals (such as 3.12121212..., where "12" repeats over and over) are rational.

What is the union of the set of integers and the set of decimals?

The set of integers is a subset of decimals. If it is all decimals, including infinite non-terminating ones, then it is the real numbers.

Can integers be repeating decimals?

no, only whole numbers.

How can a decimal be a rational number?

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 in a rational number.

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