Comparison of Rational Numbers
Comparison of Rational Numbers
We know how to compare two integers or two fractions and tell which is smaller or which is greater among them. We know that every positive integer is greater than zero and every negative integer is less than zero. Also every positive integer is greater than every negative integer. Let us now see how we can compare two rational numbers.
Comparison of Rational Numbers:
Similar to the comparison of integers, we have the following facts about how to compare the rational numbers.
(i) Every positive rational number is greater than 0.
(ii) Every negative rational number is less than 0.
(iii) Every positive rational number is greater than every negative rational number.
(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left.
(v) Every rational number represented by a point on the number line is less than every rational number represented by points on its right.
How to Compare the Two Rational Numbers?
1. Comparison Using Number line: Two rational numbers can be compared by using a number line. For example to compare two negative rational numbers and
using number line. We know that the integer which was on the right side of the other integer, was the greater integer.For example, 5 is to the right of 2 on the number line and
. The integer
is on the right of
on the number line and
. Similarly we will mark the given rational numbers on the number line and then the number on the right side will be greater than the other number.
2. Comparison using the method of Fractions: Two positive rational numbers, like and
can be compared as studied earlier in the case of fractions. In order to compare any two rational numbers, we can use the following steps:
Illustration: Which of the given rational numbers is greater?
Solution: To find the greater rational number we will follow the steps:
First we write each of the given numbers with positive denominator.
Next step find the LCM
.L.C.M. of 4 and 6 = 12
Therefore,
Now we will compare the numerators, so we get -9 > -10
Hence
Arrange the following numbers in descending order: | |||
| Right Option : B | |||
| View Explanation | |||
Arrange the following numbers in descending order: | |||
| Right Option : C | |||
| View Explanation | |||
Which is the correct sequence of numbers in ascending order while arranging | |||
| Right Option : D | |||
| View Explanation | |||
Students / Parents Reviews [10]
Abhyas is a complete education Institute. Here extreme care is taken by teacher with the help of regular exam. Extra classes also conducted by the institute, if the student is weak.
Om Umang
10thAbhyas Methodology is very good. It is based on according to student and each child manages accordingly to its properly. Methodology has improved the abilities of students to shine them in future.
Manish Kumar
10thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
Shreya Shrivastava
8thIt has a great methodology. Students here can get analysis to their test quickly.We can learn easily through PPTs and the testing methods are good. We know that where we have to practice
Barkha Arora
10thOne of the best institutes to develope a child interest in studies.Provides SST and English knowledge also unlike other institutes. Teachers are co operative and friendly online tests andPPT develope practical knowledge also.
Aman Kumar Shrivastava
10thIt was good as the experience because as we had come here we had been improved in a such envirnment created here.Extra is taught which is beneficial for future.
Eshan Arora
8thMy experience with Abhyas academy is very good. I did not think that my every subject coming here will be so strong. The main thing is that the online tests had made me learn here more things.
Hiya Gupta
8thA marvelous experience with Abhyas. I am glad to share that my ward has achieved more than enough at the Ambala ABHYAS centre. Years have passed on and more and more he has gained. May the centre flourish and develop day by day by the grace of God.
Archit Segal
7thIt was a good experience with Abhyas Academy. I even faced problems in starting but slowly and steadily overcomed. Especially reasoning classes helped me a lot.
Cheshta
10thMy experience was very good with Abhyas academy. I am studying here from 6th class and I am satisfied by its results in my life. I improved a lot here ahead of school syllabus.
