Practice the questions given in the worksheet on comparison of rational numbers.
We know, if there are two rational numbers with common denominator, then one with the larger numerator is larger than the other.
The questions are based on finding the greater and the smaller rational number among the given pairs of rational numbers, arranging the rational numbers in ascending order and descending order.
1. Which of the two rational numbers in each of the following pairs of rational numbers is greater?
(i) 3/8 or 0 (ii) (-3)/8 or 0
(iii) (-2)/9 or 0 (iv) 2/5 or 0 (v) (-3)/4 or ¼ (vi) (-4)/11 or 3/11 (vii) (-5)/7 or (-4)/7 |
(viii) (-7)/12 or 5/(-8) (ix) 2/3 or 3/4
(x) 4/(-9) or (-3)/(-7) (xi) (-1)/2 or -1 (xii) (-5)/8 or 3/(-4) (xiii) 5/9 or (-3)/(-8) (xiv) 5/(-8) or (-7)/12 |
2. Which of the two rational numbers in each of the following pairs of rational numbers is smaller?
(i) -4/3 or -8/7 (ii) (-6)/(-13) or 7/13 (iii) 7/-9 or -5/8 (iv) 16/(-5) or 3 (v) -1/3 or 4/-5 |
(vi) (-4)/3 or 8/(-7) (vii) 9/-13 or 7/-12 (viii) (-12)/5 or -3
(ix) 4/-5 or -7/10 (x) -12/5 or -3 |
3. Fill in the blanks with the correct symbol out of >, = and <:
(i) (-6)/7 ____ 7/13 (ii) (-3)/7 ____ 6/(-13) (iii) (-3)/5 ____ (-5)/6 (iv) 5/(-13) ____ (-35)/91 (v) (-2)/3 ____ 5/(-8) |
(vi) -2 ____ (-13)/5 (vii) 0 ____ (-2)/5 (viii) (-2)/3 ____ 5/(-8) (ix) 0 ____ (-3)/(-5) (x) (-8)/9 ____ (-9)/10 |
4. Arrange the following rational number ascending order:
(i) 2/3, 5/7, (-4)/(-9), 1/4
(ii) 4/(-9), (-5)/12, 7/(-18), (-2)/3
(iii) 3/5, (-17)/(-30), 8/(-15), (-7)/10
(iv) (-3)/4, 5/(-12), (-7)/16, 9/(-24)
(v) (-4)/9, 5/(-12), 7/(-18), 2/(-3)
(vi) 3/(-5), (-7)/10, (-11)/15, (-13)/20
(vii) 2/3, (-4)/7, (-8)/3, 6/(-9)
(viii) (-4)/7, (-9)/14, 13/(-28), (-23)/42
5. Arrange the following rational number descending order:
(i) -2, (-13)/6, 8/(-3), 1/3
(ii) (-3)/(-5), 17/30, (-8)/15, 7/(-10)
(iii) (-3)/10, 7/(-15), (-11)/20, 17/(-30)
(iv) 7/8, 64/16, 36/(-12), 5/(-4), 140/28
(v) (-5)/6, (-7)/12, (-13)/18, 23/(-24)
(vi) (-3)/10, 17/(-30), 7/(-15), (-11)/20
(vii) (-10)/11, (-19)/22, (-23)/33, (-39)/44
(viii) 2/5, (-3)/(-4), ½, (-7)/(-6), 0
Answers for the worksheet on comparison of rational numbers are given below to check the exact answers of the above questions on comparing rational number.
Answers:
1. (i) 3/8 (ii) 0 (iii) 0 (iv) 2/5 (v) 1/4
(vi) 3/11 (vii) (-4)/7 |
(viii) (-7)/12 (ix) 3/4 (x) (-3)/(-7) (xi) (-1)/2 (xii) (-5)/8 (xiii) 5/9
(xiv) (-7)/12 |
2. (i) -4/3 (ii) (-6)/(-13)
(iii) 7/-9 (iv) 16/(-5) (v) 4/-5 |
(vi) (-4)/3 (vii) 9/-13 (viii) -3 (ix) 4/-5 (x) -3 |
3. (i) < (ii) >
(iii) > (iv) = (v) < |
(vi) > (vii) >
(viii) < (ix) < (x) > |
4. (i) 1/4 < (-4)/9 < 2/3 < 5/7
(ii) (-2)/3 < 4/(-9) <(-5)/12 < 7/(-18)
(iii) (-7)/10 < 8/(-15) < (-17)/(-30) < 3/5
(iv) (-3)/4 < (-7)/16 < 5/(-12) < 9/(-24)
(v) 2/(-3) < (-4)/9 < 5/(-12) < 7/(-18)
(vi) (-11)/15 < (-7)/10 < (-13)/20 < 3/(-5)
(vii) (-8)/3, 6/(-9), (-4)/7, 2/3
(viii) (-9)/14 < (-4)/7 < (-23)/42 < 13/(-28)
5. (i) 1/3 > -2 > (-13)/6 > 8/(-3)
(ii) (-3)/(-5) > 17/30 > (-8)/15 > 7/(-10)
(iii) (-3)/10 > 7/(-15) > (-11)/20 > 17/(-30)
(iv) 140/28 > 64/16 > 7/8 > 5/(-4) > 36/(-12)
(v) (-7)/12 > (-13)/18 > (-5)/6 > 23/(-24)
(vi) (-3)/10 > 7/(-15) > (-11)/20 > 17/(-30)
(vii) (-23)/33 > (-19)/22 > (-39)/44 > (-10)/11
(viii) (-7)/(-6) > (-3)/(-4) > 1/2 > 2/5 > 0
● 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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