This is the definition of a rational number. The set of rational numbers is usually written as a bold Q, and stands for the Italian quoziente, which means quotient.
Every whole number can be expressed as the quotient or ratio of other whole numbers, and whole numbers ARE integers.
An Irrational Number..
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.
The rational numbers. The set of rational numbers is the set of all numbers that can be expressed as p/q where p and q are integers.
Irrational number
Yes. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero. Since the divisor of an integer is 1, then all integers are rational.
Every whole number can be expressed as the quotient or ratio of other whole numbers, and whole numbers ARE integers.
The statement is false; in fact, no irrational number can be exactly expressed as a quotient of integers because this property is the definition of rational numbers.
An Irrational Number..
Rational numbers are numbers that can be expressed as the quotient of two integers (3/2, 15/16). All integers, then, are rational numbers (12 = 12/1).
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.
The rational numbers. The set of rational numbers is the set of all numbers that can be expressed as p/q where p and q are integers.
Irrational number
Because the dividend divided by the divisor produces a quotient.
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.
-2.24224222422224222224 is rational. Rational numbers are numbers that can be expressed as the division of two integers, the divisor not being zero. -2.24224222422224222224 can be expressed as -224224222422224222224 divided by 100000000000000000000.
Rational numbers are, by definition, expressible that way.