0
Is an irrational number always a non-repeating and non-terminating decimal number?
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Blake
FranAdd your answer:
Earn +20 pts
What is the decimal expansion of an irrational number?
A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.
Is 7.11 rational or irrational?
A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)
Is the sum of a rational number and an irrational number always irrational?
Yes, always.
Is the sum of an irrational number and rational always irrational?
Yes.
Is -9pie rational or irrational?
What is 'pie' ; the meat pie that you eat??? I think you mean 'pi' , the mathematical symbol. Please spell it correctly.!!!!! pi = 3.141592654.... is an irrational number. Casually, an IRRATIONAL number is one which the decimals go to infinity and the decimal digits are not in any regular order. Any number rattional or irrational multiplied to aN IRRATIONAL number produces an irrational result. Hen ce -9 is rational -9(3.141592654...) = -28.27433388... is irrational.
If a number contains decimal places is it always an irrational number?
No, that is false.
What is the decimal expansion of an irrational number?
A decimal expansion means to write out the base 10 digits of a number. Because irrational numbers do not have a closed form, the decimal expansion will always be an approximation. Consider the irrational number pi, which has the following decimal expansion: 3.14159265... Of course there are more digits to pi than that, which is denoted by the "...". It is sadly impossible to list ALL of the digits of an irrational numbers, since if there were a finite number of digits, you could express it as a fraction, which would not be irrational.
Are irrational numbers always decimal numbers?
Both rational and irrational numbers can be expressed with decimals. If the number is irrational, it will have an infinite number of decimal digits, and there will be no periodic repetition. For example, 1/7 (which is rational) is 0.142857 142857 142857... The same sequence of six digits repeats over and over again. In irrational numbers, this is not the case.
A repeating decimal is an irrational number?
Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.
Is 25.8125 irrational?
If the number of digits after the decimal point is finite, then the number will always be RATIONAL.
Is 7.11 rational or irrational?
A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)
Is the sum of a rational and irrational number rational or irrational?
It is always irrational.
Is the sum of a rational number and an irrational number always irrational?
Yes, always.
Is the difference of a rational number and an irrational number always ratioal?
No, it is always irrational.
If you divide a rational number by an irrational number is the result irrational?
It is not always irrational.
Is the product of a rational number and irrational number always rational?
No.A rational times an irrational is never rational. It is always irrational.
Is the square of a number irrational Always sometimes never?
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.
