# Write a rational number as a decimal Thus we see that, A rational number can be expressed by either a terminating or a non-terminating and recurring repeating decimal expansion. Hi there, Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

### Rational number into decimal calculator

To simplify the notation, we place a bar over the first block of the repeating recurring part and omit the remaining blocks. That is, if the decimal expansion of a number is terminating or non-terminating and recurring repeating , then the number is a rational number. I hope this helps! A rational number can also be represented in decimal form and the resulting decimal is a repeating decimal. Case ii The remainder never becomes zero Does every rational number has a terminating decimal expansion? Also we note that the remainders repeat after some steps. These are two different ways of representing the same number. Decimal representation of rational numbers - Practice questions Express the following rational numbers as decimal numbers. Let me illustrate with an example. So, we have a repeating recurring block of digits in the quotient. The converse of this statement is also true. Obviously, the reciprocals of natural numbers are rational numbers. A repeating decimal is not considered to be a rational number it is a rational number. In the above examples, we observe that the remainders never become zero.

Let me illustrate with an example. The converse of this statement is also true. Decimal representation of rational numbers - Practice questions Express the following rational numbers as decimal numbers. Obviously, the reciprocals of natural numbers are rational numbers. To represent any pattern of repeating decimals, divide the section of the pattern to be repeated by 9's, in the following way: 0.

## Write the following rational numbers in decimal form 25/99

Thus, the decimal expansion of a rational number need not terminate. Question from lil, a student: Why are repeating decimals considered rational numbers? Hi there, Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. That is, if the decimal expansion of a number is terminating or non-terminating and recurring repeating , then the number is a rational number. Let me illustrate with an example. Obviously, the reciprocals of natural numbers are rational numbers. The converse of this statement is also true. Also we note that the remainders repeat after some steps. Thus we see that, A rational number can be expressed by either a terminating or a non-terminating and recurring repeating decimal expansion. A repeating decimal is not considered to be a rational number it is a rational number. In the above examples, we observe that the remainders never become zero. To simplify the notation, we place a bar over the first block of the repeating recurring part and omit the remaining blocks. I see the decimal 0. These rational numbers may of course be reducible, if the top is divisible by 9, or both the top and bottom are divisible by another number. So, we have a repeating recurring block of digits in the quotient.

Also we note that the remainders repeat after some steps. Well, we can go into a bit more detail and write out our repeating decimal, say 0.

## Terminating decimal

To simplify the notation, we place a bar over the first block of the repeating recurring part and omit the remaining blocks. To represent any pattern of repeating decimals, divide the section of the pattern to be repeated by 9's, in the following way: 0. But this is a starting point which will always get you what you want. The following table shows decimal representation of the reciprocals of the first ten natural numbers. That is, if the decimal expansion of a number is terminating or non-terminating and recurring repeating , then the number is a rational number. A repeating decimal is not considered to be a rational number it is a rational number. These rational numbers may of course be reducible, if the top is divisible by 9, or both the top and bottom are divisible by another number.

So, we have a repeating recurring block of digits in the quotient.

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