Table of Contents

## Explain in Detail :Rational Number Decimal Expansion and Worksheets:

A rational number is a number that can be expressed as a fraction, with a numerator and a denominator.

A decimal expansion is a way of writing a rational number as a sequence of digits, starting with the digit 1.

For example, the rational number 1/3 can be written as the decimal expansion 0.33333….

The worksheets in this module provide practice in writing decimal expansions for rational numbers, and in solving problems involving rational numbers.

## Subtracting and Adding Rational Numbers Worksheet:

1. Subtract the following rational numbers:

-1/4

-3/4

1/4

0

2. Add the following rational numbers:

1/4 + 3/4 = 4/4 = 1

-1/4 + 3/4 = 2/4 = 1/2

## Dividing and Multiplying Rational Numbers Worksheet:

1. Divide 3/5 by 2/7

2/35

2. Divide 8/9 by 2/3

8/27

3. Divide 5/8 by 1/2

5/16

4. Divide 3/4 by 1/2

3/8

### Rational Coordinates and Curve:

There are other concepts also available related to rational numbers, like, a rational point is the one present on the number line with rational coordinates.

Rational Curve, on the other hand, is just a curve with parameters represented in terms of rational functions.

### Rational Number Decimal Expansion and Worksheets:

Rational Numbers with decimal expansion either begin with a repetition of the sequence of digits with finite behaviour or would terminate after certain limited digits. Thus, Rational numbers might carry any form of repetition or termination of the decimals.

If any rational number represents in terms of decimal numbers like the fraction 10/3, its last digits will recur indefinitely. Like, 10/2 is equal to 3.333… and so on.

For the students to get a clear idea about how to represent numbers in the form of x/y, with y being a non-zero integer and x an integer, we precisely designed the ration number worksheet. Based on various operations on the numbers, worksheets are also available as adding and subtracting rational number worksheet and multiplying and dividing rational number worksheet.