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) 1^{3}/_{4}(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
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
● Rational Numbers - Worksheets
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● 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
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