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.
Yes, terminating decimals are always rational numbers.
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
They are always rational numbers.
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.
If you consider terminating decimals as ones that end in repeating 0s, then the answer is "always".
Yes.
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.
Yes, terminating decimals are always rational numbers.
Actually, a repeating decimal is not necessarily an irrational number. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point. While some repeating decimals can be irrational, such as 0.1010010001..., others can be rational, like 0.3333... which is equal to 1/3. Irrational numbers are numbers that cannot be expressed as a simple fraction, and they have non-repeating, non-terminating decimal representations.
There are are three types of decimals: terminating, repeating and non-terminating/non-repeating. The first two are rational, the third is not.
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
they always are.
always!
yes
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.
They are always rational numbers.