Let x = ab (where a is the tens digit and b is the units digit ) be a two-digit natural number.
Recall that for finding ,we formed three columns containing , , because
Since = +3 + 3 +.
Therefore, for finding we will form four columns containing , b,3 a and .
The remaining procedure is exactly identical to the method of finding the square of a two-digit natural number.
Illustration: Find the cube of 24 by using the column method .
Solution: Here, a = 2 and b = 4 .
Column I |
Column II 3 b |
Column III 3 a |
Column IV |
+5 |
3 4 = 48 +10 |
3 2 =96 +6 |
|
13 | 58 | 102 |
13 8 2 4
Illustration: Find the cube of 25 by using the column method.
Solution: Here, a = 2 and b = 5 .
Column I |
Column II 3 b |
Column III 3 a |
Column IV |
+7 |
+16 |
+12 |
|
15 | 76 | 162 |
15 6 2 5
Find the number obtained in the second column while finding the cube of 85 using the column method. | |||
Right Option : B | |||
View Explanation |
The value of is : | |||
Right Option : B | |||
View Explanation |
Find the number obtained in the third column while calculating the cube of 55 using the column method. | |||
Right Option : D | |||
View Explanation |
Abhyas 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.
It 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.
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.
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.
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
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.
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 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.
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.
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.