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Short answer: yes.
Irrational Numbers like PI have what are called "decimal expansions." For PI, decimal expansions would be numbers like:
3.14
3.14159
3.141592653589793238
etc.
These expansions are, themselves, rational numbers.
The thing is, an irrational number has an infinitely long, non-repeating sequence of digits after the decimal point. While these digits can be computer forever to a precision limited only by how much effort a person is willing to put into it, they cannot be exactly represented as decimal numbers. Any possible finite decimal number that you come up with will not be a perfect representation of an irrational number.
So strictly speaking, I would say that a decimal number can only ever represent a rational number.
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∙ 14y ago
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Is 5.68 rational or irrational?
5.68 is rational. All decimal numbers that terminate, or end in one or more repeating digits are rational numbers.
Can all rational decimals be written as a decimal numbers?
Yes.
Is 2.7064 rational or irrational?
This number is rational - all fractions, including decimal fractions and mixed numbers are rational.
Is 5.88 a rational number?
A rational number is a number that can be expressed as a fraction. All finite decimal numbers are rational. In this case 5.88 is rational because it can be expressed as 588/100
Will 0.54732814 produce a rational number when multiplied by 0.5?
The product of two rational numbers is a rational number. All decimal numbers that terminate or end with a repeating sequence of digits are rational numbers. As both 0.54732814 (as written) and 0.5 are terminating decimals, they are both rational numbers. As 0.54732814 is a rational number and 0.5 is a rational number, their product will also be a rational number.
Can a rational number be written in a decimal?
Yes, all rational numbers can be written as decimal numbers.
Why not all the decimal numbers can be written as rational numbers?
Decimal numbers that can be expressed as fractions are rational but decimal numbers that can't be expressed as factions are irrational
Are all terminating and decimals rational numbers?
All terminating decimal numbers are rational.
Is a rational number a repeating decimal?
All repeating decimals are rational numbers. Not all rational numbers are repeating decimals.
Why aren't rational numbers called integers?
because not all rational numbers are integers, recurring numbers, numbers to 1 decimal place and fractions are rational as well but all integers are rational
Does the set if rational numbers include all decimal?
No, it does not.
Is it true that all whole numbers are rational numbers?
Yes, it is true.
Is every rational number a decimal number?
All real numbers have a decimal representation. Rational numbers have decimal representations that terminate or repeat infinitely. Irrational numbers have decimal representations that are non-terminating and non-repeating.
Is 0 a rational number?
Zero is a rational number. Rational numbers are numbers that can be represented by the division of two integers. Zero is zero divided by anything besides zero, so zero is rational.
Is 5.68 rational or irrational?
5.68 is rational. All decimal numbers that terminate, or end in one or more repeating digits are rational numbers.
Are some rational numbers integers?
That's a true statement. Another true statement is: All integers are rational numbers.
Can all rational decimals be written as a decimal numbers?
Yes.
