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Worksheet on Comparison between Rational Numbers

Comparison of rational numbers or fractions can be easily done by following some steps as mentioned below:

1. A positive integer is always greater than zero.

2. A negative integer is always less than zero.

3. A positive integer is always greater than a negative integer.

4. In case of fractions, remember to make the denominator of the fraction to be positive. If not, make it positive by multiplying both numerator and denominator by (-1).

5. For like fractions (i.e., same denominators) comparison is just done by comparing the numerators of the fractions and the one having higher numerator will be greater of the two fractions.

6. For unlike fractions (i.e., different denominators) first of all denominators are made same by taking the L.C.M. of the denominators and then comparing them as in case of like fractions.

Based on above mentioned steps try to solve some questions:

1. (i) Compare 23 and 73.

(ii) Compare 45 and 35

(iii) Compare 811 and 922.

(iv) Compare 2345 and 39.

(v) Compare 1324 and 94


2. Arrange the following in ascending order:

(i) 25, 65, 15, 135, 95.

(ii) 1925, 1625, 2725, 75.

(iii) 29, 113, 327, 139.

(iv) 45, 616, 920, 135.

(v) 21105, 1221, 165, 20105.


3. Arrange the following in descending order:

(i) 716, 916, 2116, 1216

(ii) 317, 1217, 2134, 1334

(iii) 515, 1640, 245, 1825

(iv) 1421, 17, 1721, 1921


4. Aman and Suraj are taxi drivers. Aman started his journey at 8:30 a.m. and stopped at 9:30 a.m. by covering a distance of 20 km. on the other hand, Suraj travelled 50 km in 2 hours. Assuming that they travel at constant speed, compare the distances travelled by them in first hour of their journey.


5. Find the largest and the smallest rational numbers among the following.

(i) 47, - 47 and - 715 

(ii) 0, - 56, 23 and 1314


6. (i) Arrange 35, - 23, - 45 and 56 in ascending order.

(ii) Write - 109, 29, 512 and 718 in descending order.



Solutions:


1. (i) 73 > 23

(ii) 45 > 35

(iii) 811 > 922

(iv) 2345 < 39

(v) 1324 > 94


2. (i) 15, 25, 65, 95, 135.

(ii) 1625, 1925, 2725, 75.

(iii) 139, 29, 327, 113.

(iv) 616, 920, 45, 135.

(v) 21105, 20105, 1221, 165.


3. (i) 2116, 1216, 916, 716.

(ii) 1217, 2134, 317, 1334.

(iii) 245, 515, 1640, 1825.

(iv) 1421, 17, 1721, 1921


4. Suraj travelled more than Aman.

5. (i) Largest = 47, smallest = - 47

(ii) Largest = 23, smallest = - 1314


6. (i) - 45 < - 23 < 35 < 56

(ii) 512 > 718 > 29 > 109


Rational Numbers

Rational Numbers

Decimal Representation of Rational Numbers

Rational Numbers in Terminating and Non-Terminating Decimals

Recurring Decimals as Rational Numbers

Laws of Algebra for Rational Numbers

Comparison between Two Rational Numbers

Rational Numbers Between Two Unequal Rational Numbers

Representation of Rational Numbers on Number Line

Problems on Rational numbers as Decimal Numbers

Problems Based On Recurring Decimals as Rational Numbers

Problems on Comparison Between Rational Numbers

Problems on Representation of Rational Numbers on Number Line

Worksheet on Comparison between Rational Numbers

Worksheet on Representation of Rational Numbers on the Number Line






9th Grade Math

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