What is the Decimal Representation of a Rational Number?

What is a Rational Number?

A rational number is a number that can be expressed as the ratio between two integers. It can be written in the form of a fraction, for instance, 3/4, or with a decimal number, like 0.75. Every rational number has a decimal representation.

What is the Decimal Representation of a Rational Number?

The decimal representation of a rational number is the fractional form of the number written as a decimal. For example, the rational number 3/4 can be written as 0.75 in decimal form. The decimal representation of a rational number is the same as the fractional form, but written with a decimal point instead of a fraction bar.

How to Find the Decimal Representation of a Rational Number

To find the decimal representation of a rational number, divide the numerator by the denominator and remove the fraction bar. For example, the rational number 5/6 can be written as 0.8333 in decimal form. The decimal representation of the number is the result of the division.

Examples of Decimal Representation of Rational Numbers

Here are some examples of how to write rational numbers as decimals:

• 3/4 = 0.75
• 5/6 = 0.8333
• 7/8 = 0.875
• 9/10 = 0.9

Conclusion

The decimal representation of a rational number is the same as the fractional form, but written with a decimal point instead of a fraction bar. To find the decimal representation of a rational number, divide the numerator by the denominator and remove the fraction bar. Examples of decimal representation of rational numbers include 3/4 = 0.75, 5/6 = 0.8333, 7/8 = 0.875, and 9/10 = 0.9.