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:**

(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 |

(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 |

(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

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Reciprocal of a Rational Number

Rational Expressions Involving Division

Properties of Division of Rational Numbers

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