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The basic definition is that a rational number can be expressed as a fraction, with integers in the numerator and the denominator; if such a representation is not possible, you have an irrational number. For example, 1/3, 5/2 and 7 (which is equal to 7/1) are rational numbers; the square root of 2, pi, and e are irrational, because it has been proven that none of them can be expressed as a fraction with integers.
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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.
What is the sum of an rational number and irrational number?
An irrational number.
Which of the following numbers will produce an irrational number when added to?
When added to a rational number, any irrational number will produce an irrational number.also, when added to an irrational number, any rational number will produce an irrational number.
Why is 01001000100001000001000000100000001. an irrational number?
It is not an irrational number!
Can an irrational number minus a rational number equal an irrational number?
Yes, it will always be irrational.
Which subset of the real numbers best describes 32pi?
An irrational 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.
What type of number best describes the diameter of a circle?
A positive real number. It can be irrational or rational, even integer.
What type of number best describes the diameter of the circle?
A positive real number. It can be irrational or rational, even integer.
What is the sum of an rational number and irrational number?
An irrational number.
The sum of a rational number and an irrational number is?
The sum of a rational and irrational number must be an irrational number.
Is an irrational number plus an irrational number rational?
No. The sum of an irrational number and any other [real] number is irrational.
Whether a rational number multiplied by an irrational number gives an irrational number?
rational * irrational = irrational.
Is 3.56 an irrational number?
No, 3.56 is not an irrational number. 3.56 is rational.
Is negative pi rational or irrational?
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
What is a negative irrational number?
A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.
Which number produces an irrational number when multiplied by?
At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.
