We will learn how to represent rational numbers on the number line with the help of the following examples.

**1.** Represent \(\frac{5}{3}\) and \(\frac{-5}{3}\) on the number line.

**Solution:**

In order to represent \(\frac{5}{3}\) and \(\frac{-5}{3}\) on the number line, we first draw a number line and mark a point O on it to represent zero.

Now we find the points X and X' on the number line representing the positive integers 5 and -5 respectively as shown in the below figure.

Now divide the segment OX into three equal parts. Let A and B be the points of division so that OA = AB = BX. By construction, OA is one-third of OX.

Therefore, A represents the rational number \(\frac{5}{3}\).

Point X' represents -5 on the number line. Now, divide OX' into three equal parts OA', CB' and B'X'. The point A' is such that OA' is one third of OX'. Since X' represents the number -5.

Therefore, A' represents the rational number \(\frac{-5}{3}\).

**2.** Represent \(\frac{8}{5}\) and \(\frac{-8}{5}\) on the number line.

**Solution: **

To
represent \(\frac{8}{5}\) and \(\frac{-8}{5}\) on the number line, on the number line, draw a
number line and mark a point O on it to represent zero. Now, mark two
points M and M' representing integers 8 and -8 respectively on the number
line. Divide the segment OM into five equal parts. Let A, B, C, D be
the points of division so that OA = AB = BC = CD = DM. By construction,
OA is one-fifth of OM. So, A represents the rational number \(\frac{8}{5}\).

Now, M' represents -8 on the number line. Divide OM' into five equal parts OA', A'B', B'C', C'D', and D'M'. Since M' represents -8 . Therefore, A' represents the rational number -8/5.

● **Rational Numbers**

Introduction of Rational Numbers

Is Every Rational Number a Natural Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Equivalent form of Rational Numbers

Rational Number in Different Forms

Properties of Rational Numbers

Lowest form of a Rational Number

Standard form of a Rational Number

Equality of Rational Numbers using Standard Form

Equality of Rational Numbers with Common Denominator

Equality of Rational Numbers using Cross Multiplication

Comparison of Rational Numbers

Rational Numbers in Ascending Order

Rational Numbers in Descending Order

Representation of Rational Numbers on the Number Line

Rational Numbers on the Number Line

Addition of Rational Number with Same Denominator

Addition of Rational Number with Different Denominator

Properties of Addition of Rational Numbers

Subtraction of Rational Number with Same Denominator

Subtraction of Rational Number with Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

Rational Expressions Involving Addition and Subtraction

Simplify Rational Expressions Involving the Sum or Difference

Multiplication of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational Number

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

**8th Grade Math Practice****From Rational Numbers on the Number Line to HOME PAGE**

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● **Rational Numbers - Worksheets**

Worksheet on Equivalent Rational Numbers

Worksheet on Lowest form of a Rational Number

Worksheet on Standard form of a Rational Number

Worksheet on Equality of Rational Numbers

Worksheet on Comparison of Rational Numbers

Worksheet on Representation of Rational Number on a Number Line

Worksheet on Adding Rational Numbers

Worksheet on Properties of Addition of Rational Numbers

Worksheet on Subtracting Rational Numbers

Worksheet on Addition and
Subtraction of Rational Number

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Properties of Multiplication of Rational Numbers

Worksheet on Division of Rational Numbers

Worksheet on Properties of Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

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