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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.
Is a rational number a real number?
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.
Are integers always sometimes or never rational numbers?
All integers are rational numbers, but not all rational numbers are integers.2/1 = 2 is an integer1/2 is not an integerRational numbers are sometimesintegers.
The quotient of two integers is always a rational number?
Yes. All numbers are rational numbers except repeating decimals like 1.3(repeating). * * * * * Repeating decimals are also rationals. However, the quotient is not defined if the second number is the integer zero!
How many rational numbers are there between-10 and 10?
Infinite. A rational number is any number that can be expressed as the quotient of two integers, so -500,000,001/50,000,001 is a rational number slightly greater than -10. Strangely, there are even more irrational numbers, which are also infinite. Ow. My brain always hurts on that one.
Is the quotient of two rational number always rational numbers?
yes
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 if two rational numbers are divided is the quotient always going to be a rational number?
Not if the second rational number is 0: in that case the quotient is not defined. Otherwise the answer is yes.
Is the quotient of two nonzero numbers never a rational number?
The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
Is a rational number a real number?
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.
What is rational numbers are quotient of any two integers?
If a number can be expressed as the quotient of two numbers (a ÷ b) and b is not zero, then it is a rational number.
Can every rational number be written as a quotient?
Every number can be written as a quotient.Every rational number can be written as a quotient of whole numbers.
Is the quotient of a rational number and an irrational number rational?
No. It's always irrational.
What is a quotient of two integers that is always a rational number?
It is an incomplete definition of a rational number.
Is the quotient of an integer divided by a nonzero integer always be a rational number Why?
Yes, always. That is the definition of a rational number.
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.
Is a quotient of an integer divided by a nonzero integer always a rational number?
Because that is how a rational number is defined!
