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Is the quotient of two rational numbers always a real number?
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
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.
What is the quotient of positive and negative integers?
The quotient is what you get when you divide two numbers. If both numbers are positive, the quotient will be positive. If both numbers are negative, the quotient will be positive. If one number is positive and one number is negative, their quotient will be negative.
Are All rationals numbers are in the set of natural numbers?
1. No.The Natural numbers are the positive integers (sometimes the non-negative integers).Rational numbers are numbers that can be expressed as the quotient of two integers (positive or negative). All Natural numbers are in the set of Rational numbers. 2. No. Natural numbers are usually defined as integers greater than zero. A Rational number is then defined simply as a number that can be expressed as an integer divided by a natural number. (This definition includes all rational numbers, but excludes division by zero.)
Is the quotient of two rational number always rational numbers?
yes
Are natural numbers always whole numbers?
is a natural number a whole number
Is the quotient of two real numbers always a real number?
No. Not if the second number is zero.
Is the quotient of two rational numbers always a real number?
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
Are whole numbers always natural numbers?
No. -3 is a whole number but it is not a natural 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 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.
What is a number that can be written as a quotient of 2 positive or negative numbers?
Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.
Are irrational numbers always natural numbers?
No. Rather all natural numbers are necessarily rational number
Is the quotient of two numbers always a whole number?
No. A quotient is the result of a division. You can divide any real number by any other real number except zero. Most quotients are not whole numbers.Not always because the quotient could be a decimal or a fraction.
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.
Is one natural number divided by another natural number always a natural number?
No, 4/3 is 1.333333... which is not a natural number. However, any natural number divided by a natural number will always be a rational number. This is due to the definition of a rational number as being able to be expressed as p/q where p and q are integers. Thus, numbers where p and q are natural numbers represent a subset of all the rational numbers.
