Because terminating or repeating decimals can be written as the quotient of two integers a/b, where b is not equal to zero.
They are called rational numbers
If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.
A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, p and q, with the denominator q not equal to zero. Terminating or repeating decimals are the result of this.
Yes, they are and that is because any terminating or repeating decimal can be expressed in the form of a ratio, p/q where p and q are integers and q is non-zero.
There are two kinds of decimals that are rational: terminating and repeating. Terminating decimals are simply decimals that end. For example, the numbers after the decimal point for 3.14, 5.5, and 424.827598273957 don't continue on forever; i.e. they terminate. Repeating decimals differ from terminating decimals in that the numbers after the decimal point continue on forever. For example, the numbers 3.333333333..., 10.010101010101..., and .0356811111111111..., where the "...'s" mean that the numbers continue on indefinitely, are all repeating decimals. The reason why both of these types of decimals are considered rational is because both types can also be expressed as a fraction of two integers. Non-repeating decimals, such as pi and the square root of two, can't be expressed as a fraction of two integers, and so therefore are irrational.
The set of real numbers. Note that this also includes terminating decimals and integers.
Rational Numbers are any number that can be written in fraction form .This includes integers, terminating decimals, and repeating decimals as well as fractions. A decimal number can be written in rational numbers depending on the place value of the decimal point.
Integers are rational. Also, terminating decimal numbers, as well as repeating decimals (such as 3.12121212..., where "12" repeats over and over) are rational.
The set of integers is a subset of decimals. If it is all decimals, including infinite non-terminating ones, then it is the real numbers.
no, only whole numbers.
Any number that can be written in fraction form is a rational number. This includes integers , terminating decimals , and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one so any integer in a rational number.