Comparison means to analyse the relation between two numbers. There can be three situations
1. Both the numbers are equal
2. First number is less than the second number
3. First number is more than the second number.
The method of cross multiplication means multiplying the numerator of one number with the denominator of the other number. For two rational numbers
Cross multiplication means multiplying the numerator of first number with the denominator of second number and the denominator of first number with the numerator of second number and we get
When ever we are given two rational numbers and we have to check whether the given rational numbers are equal, less than or greater than, the comparison is done by the method of cross multiplication.
For two rational numbers there can be three situations
Case 1. They are equal if:
i.e. ,
Numerator of first Denominator of second = Numerator of second Denominator of first.
Case 2. The first rational number is greater than the second rational number if:
i.e. ,
Numerator of first Denominator of second > Numerator of second Denominator of first.
Case 3. The first rational number is less than the second rational number if:
i.e. ,
Numerator of first Denominator of second < Numerator of second Denominator of first.
Illustration: Compare the rational numbers for equality.
Solution:To compare the rational numbers for equality we will perform cross multiplication
63 = 63
Hence, these rational numbers are equal.
Illustration: Compare the rational numbers , for equality.
Solution: To compare the rational numbers for equality we will perform cross multiplication
140 = 140
Hence, these rational numbers are equal.
Illustration: Do represent the same rational number?
Solution: To compare the rational numbers for equality we will perform cross multiplication
4 x 36 = 144
(-9) x (-16) = 144
These rational numbers are equal.
Illustration: Compare the rational numbers
Solution: To compare the rational numbers for equality we will perform cross multiplication
: 2 x 8 = 16 and 3 x 5 = 15
Hence,
Which of the following relation holds for ? | |||
Right Option : A | |||
View Explanation |
Which of the following relation holds for and ? | |||
Right Option : C | |||
View Explanation |
Compare using cross multiplication method. | |||
Right Option : B | |||
View Explanation |
Being a parent, I saw my daughter improvement in her studies by seeing a good result in all day to day compititive exam TMO, NSO, IEO etc and as well as studies. I have got a fruitful result from my daughter.
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
I have spent a wonderful time in Abhyas academy. It has made my reasoning more apt, English more stronger and Maths an interesting subject for me. It has given me a habbit of self studying
One 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.
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.
My 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.
It 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
About 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.
It 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.
My 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.