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Is the quotient of a rational number and an irrational number rational?
No. It's always irrational.
Is the quotient of an irrational number and a rational number always irrational?
No. It is not defined if the rational number happens to be 0.
What describes the quotient of a nonzero rational number and an irrational number?
The quotient of a nonzero rational number and an irrational number is always an irrational number. This is because dividing a rational number (which can be expressed as a fraction of integers) by an irrational number cannot result in a fraction that can be simplified to a rational form. Therefore, the result remains outside the realm of rational numbers.
Can An irrational number divided by an irrational number equals a rational number?
Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
Will any irrational number divided by an irrational number be irrational?
No.3*sqrt(2) and sqrt(2) are irrational. But their quotient is 3, which is rational.
Is the quotient of a rational number and an irrational number rational?
No. It's always irrational.
Is the quotient of an irrational number and a rational number always irrational?
No. It is not defined if the rational number happens to be 0.
What happens when a rational number is divided by an irrational number?
When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.
What describes the quotient of a nonzero rational number and an irrational number?
The quotient of a nonzero rational number and an irrational number is always an irrational number. This is because dividing a rational number (which can be expressed as a fraction of integers) by an irrational number cannot result in a fraction that can be simplified to a rational form. Therefore, the result remains outside the realm of rational numbers.
Can An irrational number divided by an irrational number equals a rational number?
Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.
Is 10.01 a rational or irrational number?
10.01 is Rational. IRRATIONAL are those decimals, which recur to infinity and there is NO regular order in the decimal digits. pi = 3.141592..... is Irrational But 3.333333..... is rational , because the decimal digits are in a regular order. Definitely an irrational number cannot be converted into a rational number/ratio/fraction/quotient. So 10.01 is rational because it can be converted to a ratio/fraction/quotient of 10 1/100 or 1001/100
What is the deifition for irrational number?
An irrational number is a number that is not rational. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero.
Why is 4 divided by 9 an irrational number?
0.4444
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
Is 0.678667866678 rational or irrational number?
As written, it is a terminating decimal, which can be converted to a quotient(fraction) . Hence it is rational. However, if 0.678667866678.... then it is recurring to infinity . , Since it will not convert to a quotient/fraction , then it is irrational.
What number is both rational and irrational?
None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.
