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What is a number that cannot be expressed as a quotient of integers?
A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
Is it true that if you add two irrational numbers you will always get a rational number?
yes
Is the sum of two POSITIVE irrational numbers ALWAYS irrational?
No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.
Is the quotient of two irrational numbers is irrational?
In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.
Can the quotient of two irrational numbers be irrational?
Yes, but not necessarily.
Can the quotient of two irrational numbers be rational?
Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.
Real numbers that can't be expressed as a quotient of two integers?
Irrational number
Is the quotient of two nonzero numbers always a rational number?
Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.
What are real numbers that can't be expressed as a quotient of two integers?
An Irrational Number..
Is -5 a irrational number?
No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.
What is a number that cannot be expressed as a quotient of integers?
A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.
Can the quotient of any two irrational numbers be irrational?
It can. pi / sqrt(5) = an irrational number. However, it doesn't have to be: pi / pi = 1.
The quotient of two negative numbers is always?
Positive.
When you divide two irrational numbers is it always irrational?
No. If x is irrational, then x/x = 1 is rational.
What is an irrational plus two rational numbers?
Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.
