No because non-repeating decimals may be terminating. But suppose you consider terminating decimals as consisting of repeating 0s. That is, 1/8 = 0.125 = 0.12500.... Then all non-repeating decimals are irrational.
Yes repeating decimals are real numbers. They can fall under the category of rational numbers under real numbers since their repeating decimal patterns allows them to be converted into a fraction. Nonreal numbers are imaginary numbers which are expressed with… Full Answer
yes, repeating decimals (those that have infinite - never ending - number of digits after the decimal point and these decimals show repeating pattern) are rational numbers, because they can be written as fractions.
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… Full Answer
If a non-zero rational number, in its simplest form, has a denominator with any factor other than 2 or 5, the ratio cannot be represented by a terminating decimal. So, repeating decimals are used to represent the vast majority of… Full Answer
If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.
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!
Because repeating decimals can be written as simple fractions. 0.22222 repeating = 2/9 The formal definition of a rational number is a number that can be in the form p/q where p and q are integers and q is not… Full Answer