Worksheet on Representation of Rational Number on a Number Line

Practice the worksheet on representation of rational number on a number line.

The questions are based on representing the positive rational numbers and negative rational numbers on the real number line.

We know, the rational numbers can be represented on the number line. We represent any rational number on the number line by a point. Every positive rational number lies to the right of 0 and every negative rational number lies to the left of 0 on the number line.

1. Draw the number line and represent the following positive rational numbers on it:

(i) 1/3

(ii) 2/3

(iii) 2/7

(iv) 3/4

(vi) 3/8

(vi) 13/4

(vii) 22/5

(viii) 31/2

(ix) 55/7

(x) 42/3

(xi) 8

(xii) 7/9




2. Represent each of the following negative rational numbers on the number line:

(i) (-5)/8

(ii) (-3)/16

(iii) (-1)/3

(iv) -3/4

(v) (-7)/3

(vi) 22/(-7)

(vii) (-31)/3

(viii) -12/3

(ix) -31/7

(x) -43/5

(xi) -25/6

(xii) -3

(xiii) -27/8

(xiv) -52/5


3. Which of the following statements are true or false?

(i) -3/5 lies to the left of 0 on the number line.

(ii) The rational number 29/23 lies to the left of 0 on the number line.

(iii) -12/7 lies to the right of 0 on the number line.

(iv) The rational number (-12)/(-17) lies to the left of 0 on the number line.

(v) The rational numbers 1/3 and -5/2 are on the opposite sides of 0 on the number line.

(vi) The rational number 3/4 lies to the right of 0 on the number line.

(vii) The rational number -18/-13 lies to the left of 0 on the number line.

(viii) The rational numbers (-12)/(-5) and (-7)/17 are on the opposite sides of 0 on the number line.

(ix) The rational numbers (-21)/5 and 7/(-31) are on the opposite sides of 0 on the number line.

(x) The rational number (-3)/(-5) is on the right of (-4)/7 on the number line.


Answers for the worksheet on representation of rational number on a number line are given below to check the exact answers of the above statements.


Answers:


3. (i) True

(ii) False

(iii) False

(iv) False

(v) True

(vi) True

(vii) False

(viii) True

(ix) False

(x) True

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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