If you consider terminating decimals as ones that end in repeating 0s, then the answer is "always".
Yes, terminating decimals are always rational numbers.
Pie is always regarded as an irrational no. 12140.76 is rational as it is a terminating no. Irrational no. is always non-terminating and non repeating. example- Square root 2 , pie etc.
There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.
they always are.
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
They are always rational numbers.
Repeating decimals are always rational.
In fact, the statement is true. Consequently, there is not a proper counterexample. The fallacy is in asserting that a terminating decimal is not a repeating decimal. First, there is the trivial argument that any terminating decimal can be written with a repeating string of trailing zeros. But, Cantor or Dedekind (I can't remember which) proved that any terminating decimal can also be expressed as a repeating decimal. For example, 2.35 can be written as 2.3499... Or 150,000 as 149,999.99... Thus, a terminating decimal becomes a recurring decimal. As a consequence, all real numbers can be expressed as infinite decimals. And that proves closure under addition.
Repeating decimals are ALWAYS rational numbers.
Yes, that's what "repeating" refers to.
They will always be rational numbers.
Yes, they will.
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Sometimes. (pi) is non-terminating and irrational. 0.33333... non-terminating is 1/3 , which is rational.
Sometimes. '0.333333 ...' (non-terminating) is sometimes used for '1/3' . '0.25' (terminating) is used for '1/4' .
Yes. Any terminating number is rational. (But some non-terminating numbers are rational too, like 1/3, 1/7, 1/9, etc.
No. Repeating decimals are always rational. 0.7777... is actually the decimal expansion of 7/9, which as you can clearly see is rational (it's the ratio of 7 to 9).
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!
Not always because any decimal that can be expressed as a fraction is a rational number as for example 0.33333.....repeating can be expressed as 1/3 which is a rational number