377/14
A fraction is a rational number that can be converted into a decimal or vice versa
Yes, 18.78 repeating (often written as 18.78̅) is a rational number. A rational number is defined as any number that can be expressed as the quotient of two integers, and repeating decimals can be converted to fractions. In this case, 18.78 repeating can be represented as a fraction, confirming its status as a rational number.
Yes, the number (0.1010010001_k) is rational. A number is considered rational if it can be expressed as the quotient of two integers. Since (0.1010010001_k) is a finite representation in base (k), it can be converted to a fraction, thus confirming its rationality.
Rational numbers are numbers that have a definite end. 33% can be converted into the decimal 0.33. This has a definite end so it is a rational number.
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
Rational numbers are numbers that have a definite end. 33% can be converted into the decimal 0.33. This has a definite end so it is a rational number.
10.01 is Rational. IRRATIONAL are those decimals, which recur to infinity and there is NO regular order in the decimal digits. pi = 3.141592..... is Irrational But 3.333333..... is rational , because the decimal digits are in a regular order. Definitely an irrational number cannot be converted into a rational number/ratio/fraction/quotient. So 10.01 is rational because it can be converted to a ratio/fraction/quotient of 10 1/100 or 1001/100
A fraction is a rational number that can be converted into a decimal or vice versa
Yes, 18.78 repeating (often written as 18.78̅) is a rational number. A rational number is defined as any number that can be expressed as the quotient of two integers, and repeating decimals can be converted to fractions. In this case, 18.78 repeating can be represented as a fraction, confirming its status as a rational number.
Yes, the number (0.1010010001_k) is rational. A number is considered rational if it can be expressed as the quotient of two integers. Since (0.1010010001_k) is a finite representation in base (k), it can be converted to a fraction, thus confirming its rationality.
Rational numbers are numbers that have a definite end. 33% can be converted into the decimal 0.33. This has a definite end so it is a rational number.
The line is usually taken to mean that the decimals under the line repeat. And yes, such a number is rational, since it can be converted into a fraction (with whole numerator and denominator).
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.
All rational numbers including integers can be be expressed as fractions whereas irrational numbers can't be converted into fractions
33.6 is a rational number because it can be represented as the quotient of two integers. It's the .6 that gives this away, in this case, since it is rational as 6/10. So, 33.6 = 33 6/10. 33 6/10 is easily converted to 336/10, which is also a rational number.
All of them are terminating and so all can be converted to rational numbers.
I assume you mean that the sequence continues this way. No, it is not. To be rational, the same pattern - excatly the same sequence of digits - must repeat over and over, since any fraction (i.e., rational number) converted to decimal has this type of pattern.