0.1 is equivalent to 1/10 which is a rational number
No. It is a rational number. Any repeating decimal or terminating decimal is rational.
Decimals are real. They can be rational or irrational.
A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)
As written, it is a terminating decimal, which can be converted to a quotient(fraction) . Hence it is rational. However, if 0.678667866678.... then it is recurring to infinity . , Since it will not convert to a quotient/fraction , then it is irrational.
0.1 is equivalent to 1/10 which is a rational number
In most cases, you cannot.
Rational numbers are not usually rounded - their decimal equivalents are. So convert a rational into its decimal equivalent and then round it to however many places that you want.
You can round the decimal fraction to a suitable level of accuracy. Alternatively, you can convert the number to a rational fraction.
It depends. A terminating decimal is a rational number. A decimal which, after a finite number of places, becomes a repeating (or recurrent) decimal is also a rational number. A decimal that is not terminating, nor [eventually] settles into a recurring pattern is not a rational number. Note that the decimal need not become recurring immediately.
Yes. Any terminating decimal is a rational number. Any repeating decimal also.
It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.
No. It is a rational number. Any repeating decimal or terminating decimal is rational.
It is rational. An irrational number is a number that you cannot define by a fraction or a decimal. Since you wrote it as a decimal, it is rational.
Decimals are real. They can be rational or irrational.
A number with a finite number of decimal digits is always rational. (If the number of decimal digits is infinite, the number is rational only if there is a repeating pattern.)
Since 2.33333... is a repeating decimal (or recurring decimal), it is a rational number.