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Decimals are real. They can be rational or irrational.

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A decimal number is a real number but it may or may not be a rational number.

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Q: Is a decimal a considered a real number and a rational number?
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To which subsets of the real numbers does the number 1.68 belong?

The number 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. As a rational number, 1.68 can be expressed as the ratio of two integers (84/50). It is also a decimal number, specifically a terminating decimal, where the digits after the decimal point eventually end.


Is 1.25 a real number?

Yes, it is. Moreover, it is also a rational number. 1.25 * 4 = 5, so 1.25 = 5/4. All rational numbers are real numbers, so 1.25 is real. Any number you can think of, using decimal notation is real. Real numbers are allowed to have an infinity of digits (behind the decimal point).


Is 7 a real number rational number irrational number an integer or a whole number?

7 is a real number, as it represents a quantity on the number line. It is also a rational number, as it can be expressed as the ratio of two integers (7/1). Additionally, 7 is an integer, as it is a whole number without a fractional or decimal part. In summary, 7 is a real number, a rational number, and an integer.


Is a real number always sometimes or never a rational number?

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.


When a number is written in decimal form how can you tell if it's a rational number?

We know that a real number is rational if and only if, when expressed as a decimal, it has a finite or recurring expansion. . . (put a point exactly over 8 and 2). For example, 5/4 = 1.25, 2/3 = 0.6, 20/7 = 2.857142857 or 20/7 = 2.857142