Worksheet on Comparison of Rational Numbers

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.

 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

Worksheet on 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 Properties of Addition of Rational Numbers

Worksheet on Rational Expressions Involving Sum and Difference

Worksheet on Multiplication of Rational Number

Worksheet on Division of Rational Numbers

Worksheet on Finding Rational Numbers between Two Rational Numbers

Worksheet on Word Problems on Rational Numbers

Objective Questions on Rational Numbers

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.

Recent Articles

1. Roman Numerals | System of Numbers | Symbol of Roman Numerals |Numbers

Feb 22, 24 04:21 PM

How to read and write roman numerals? Hundreds of year ago, the Romans had a system of numbers which had only seven symbols. Each symbol had a different value and there was no symbol for 0. The symbol…

2. Worksheet on Roman Numerals |Roman Numerals|Symbols for Roman Numerals

Feb 22, 24 04:15 PM

Practice the worksheet on roman numerals or numbers. This sheet will encourage the students to practice about the symbols for roman numerals and their values. Write the number for the following: (a) V…

3. Roman Symbols | What are Roman Numbers? | Roman Numeration System

Feb 22, 24 02:30 PM

Do we know from where Roman symbols came? In Rome, people wanted to use their own symbols to express various numbers. These symbols, used by Romans, are known as Roman symbols, Romans used only seven…

4. Place Value | Place, Place Value and Face Value | Grouping the Digits

Feb 19, 24 11:57 PM

The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know th…

5. Math Questions Answers | Solved Math Questions and Answers | Free Math

Feb 19, 24 11:14 PM

In math questions answers each questions are solved with explanation. The questions are based from different topics. Care has been taken to solve the questions in such a way that students

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

Representation of 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 Different Denominator

Subtraction of Rational Numbers

Properties of Subtraction of Rational Numbers

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

Division of Rational Numbers

Rational Expressions Involving Division

Properties of Division of Rational Numbers

To Find Rational Numbers