Rational Numbers on the Number Line

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

What is Rational Numbers?

Is Every Rational Number a Natural Number?

Is Zero a Rational Number?

Is Every Rational Number an Integer?

Is Every Rational Number a Fraction?

Positive Rational Number

Negative Rational Number

Equivalent Rational Numbers

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

Addition of Rational Numbers

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

Product of Rational Numbers

Properties of Multiplication of Rational Numbers

Rational Expressions Involving Addition, Subtraction and Multiplication

Reciprocal of a Rational  Number

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

Rational Numbers between Two Rational Numbers

To Find Rational Numbers





8th Grade Math Practice 

From Rational Numbers on the Number Line to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. 2nd Grade Math Practice | Second Grade Math |2nd Grade Math Worksheets

    Nov 04, 24 12:03 AM

    In 2nd grade math practice you will get all types of examples on different topics along with the solutions. Second grade math games are arranged in such a way that students can learn math

    Read More

  2. 2nd Grade Division Worksheet | Dividing 2-digit by 1-digit Numbers

    Nov 03, 24 11:48 PM

    Division Fact 12 ÷ 3
    Dividing 2-digit by 1-digit Numbers

    Read More

  3. Basic Division Facts | Division is the Inverse of Multiplication |Math

    Nov 03, 24 12:50 PM

    Basic Division Facts
    Some basic division facts are needed to follow for dividing numbers. The repeated subtraction of the same number is expressed by division in short form and in long form.

    Read More

  4. Division of Two-Digit by a One-Digit Numbers | Dividing Larger Numbers

    Oct 29, 24 01:27 PM

    Divide 2-Digit Number by 1-Digit Number
    In division of two-digit by a one-digit numbers are discussed here step by step. How to divide 2-digit numbers by single-digit numbers?

    Read More

  5. 2nd Grade Multiplication Worksheet | 2-Digit by 1-Digit | 3-Digit by 1

    Oct 29, 24 12:21 AM

    Times Table Crossword
    In worksheet on 2nd grade multiplication worksheet we will solve the problems on fact about multiplication, multiplication on number line, terms used in multiplication, multiplication of 1-digit numbe…

    Read More

Rational Numbers - Worksheets

Worksheet on Rational Numbers

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

Worksheet on Operations on Rational Expressions

Objective Questions on Rational Numbers