3 X 3 Multiplication : This is very fast method of multiplying a three digit number with a three digit number in a single line. It saves a lot of time in the various competitive exams where each second counts.
Suppose we want to multiply 265 with 132. We can perform this multiplication by following the steps given below:
Step 1: We have to multiply 265 and 132 | |
Step 2: We will first multiply both the digits at the unit place i.e. 5 and 2. This is called straight multiplication. 5 X 2 = 10 Now unit place of the answer is 0 Carry is 1 | |
Step 3: We will multiply the unit place digit of one number with the digit at tens place of the other number. That is we will multiply 5 with 3 and 2 with 6 and will then add. To the result we will add the carry if any.The unit place of the result is the tens place of the answer. If there is any carry it will be shifted to hundreds place. This is multiplication in Cross. Result = 3 X 5 + 2 X 6 + 1= 15 + 12+ 1= 28 Now the unit place of 28 i.e. 8 is the tens place in the answer and 2 is the carry for hundreds place. Carry is 2 | |
Step 4: We will multiply the unit place digit of one number with the digit at hundreds place of the other number. Also we will multiply the digits at tens place of both the number and will then add all these with carry if any. That is we will multiply 5 with 1 and 2 with 2. Further we will multiply 6 with 3 and will then add. To the result we will add the carry if any.The unit place of the result is the hundreds place of the answer. If there is any carry it will be shifted to thousands place. This is multiplication in Double Cross. Result = 5 X 1 + 2 X 2 + 6 X 3= 5 + 4 + 18= 27 + 2 = 29 Now the unit place of 29 i.e. 9 is the digit at the hundreds place in the answer and 2 is the carry for thousands place. Carry is 2 | |
Step 5: We will multiply the tens place digit of one number with the digit at hundreds place of the other number. That is we will multiply 6 with 1 and 2 with 3 and will then add. To the result we will add the carry if any.The unit place of the result is the thousands place of the answer. If there is any carry it will be shifted to ten thousands place. This is multiplication in Cross. Result = 6 X 1 + 2 X 3 + 2= 6 + 6+ 2= 14 Now the unit place of 14 i.e. 4 is the thousands place in the answer and 1 is the carry for the ten thousands place. Carry is 1 | |
Step 6: Now we will multiply both the digits at the hundreds place i.e. 1 and 2. and carry (if any) is added This is called straight multiplication. 1 X 2 + 1 = 3 Now this is written at the ten thousands place in the answer So the answer = 34980 |
Illustration: Multiply 342 with 256
Step 1: We have to multiply 342 and 256 Step 2: We will first multiply both the digits at the unit place i.e. 2 and 6. This is called straight multiplication. 6 X 2 = 12 Now unit place of the answer is 2 Carry is 1 Step 3: We will multiply the unit place digit of one number with the digit at tens place of the other number. That is we will multiply 4 with 6 and 5 with 2 and will then add. To the result we will add the carry if any.The unit place of the result is the tens place of the answer. If there is any carry it will be shifted to hundreds place. This is multiplication in Cross. Result = 4 X 6 + 5 X 2 + 1= 24 + 10+ 1= 35 Now the unit place of 35 i.e. 5 is the tens place in the answer and 3 is the carry for hundreds place.Carry is 3 | |
Step 4: We will multiply the unit place digit of one number with the digit at hundreds place of the other number. Also we will multiply the digits at tens place of both the number and will then add all these with carry if any. That is we will multiply 3 with 6 and 2 with 2. Further we will multiply 4 with 5 and will then add. To the result we will add the carry 3.The unit place of the result is the hundreds place of the answer. If there is any carry it will be shifted to thousands place. This is multiplication in Double Cross. Result = 3 X 6 + 2 X 2 + 4 X 5 + 3 = 18 + 4 + 20 + 3 = 42 + 3 = 45 Now the unit place of 45 i.e. 5 is the digit at the hundreds place in the answer and 4 is the carry for thousands place. Carry is 4 Step 5: We will multiply the tens place digit of one number with the digit at hundreds place of the other number. That is we will multiply 3 with 5 and 4 with 2 and will then add. To the result we will add the carry if any.The unit place of the result is the thousands place of the answer. If there is any carry it will be shifted to ten thousands place. This is multiplication in Cross. Result = 3 X 5 + 4 X 2 + 4 = 15 + 8 + 4= 27 Now the unit place of 27 i.e. 7 is the thousands place in the answer and 2 is the carry for the ten thousands place. Carry is 2 Step 6: Now we will multiply both the digits at the hundreds place i.e. 3 and 2. and carry (if any) is added This is called straight multiplication. 3 X 2 + 2 = 8 Now this is written at the ten thousands place in the answer So the answer = 87552 |
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.
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 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.
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.
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.
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
A 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.
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
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.