Isn’t it great, if you can calculate faster in competitive exams or in daily life? In competitive exams you need to solve more number of problems in less time. So, people, nowadays running behind the coaching centers for shortcuts. But it is absolutely useless if you don’t have conceptual clarity. Here is the speed math rule to calculate Square of numbers consisting 1 only. Check other speed math rules here.
To find square of numbers consisting 1’s only such as 11,111,1111 or 11111 and so on is very easy. You can calculate the correct result in a fraction of seconds. You just need to know the quicker math method for this calculation. Once you will know and understand the method you will be amazed. You can use this speed math technique in competitive exams and other necessary scenarios.

Rule

Like most of the other vedic math techniques, in this too we will calculate the result in two parts. And then we will concatenate the parts to get ultimate result.
To find square of numbers consisting 1’s only such as 11,111,1111,11111 and so on is very easy. You can calculate the correct result in a fraction of seconds. You just need to know the quicker math method for this calculation. Once you will know and understand the method you will be amazed. You can use this speed math technique in competitive exams and other necessary scenarios.

Like most of the other vedic math techniques, in this too we will calculate the result in two parts. And then we will concatenate the parts to get ultimate result.
For example to calculate square of 111, there are 3 ones in the given number. So the first part will be “123”. And the second part will start with (3-1)=2 and will reach 1 in reverse order i.e the second part is “21”. So the result is 12321.

Now we will take another example, (1111)2=?
There are 4 ones in the given number. So the first part will be “1234” and the second part will start from 3 and will reach one in reverse order i.e “321”. So the result is 1234321.

Now you can see how easily we can calculate the square of numbers consisting ones only. For other speed math techniques, please check our “speed math” section.

Exercise for square of numbers consisting 1 only

As exercise calculate the result of (111111)2. You just need to count the number of 1’s in it and you will have the correct result in a fraction of seconds.

See as we promised, now you can find result of such complicated calculation very quickly. Best of luck for your exams.

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So, this was the rule for calculating Square of numbers consisting 1 only. Write down your feedback on comments section below. Also check the other speed math rules for faster calculations.

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