TRICKS FOR EASIER AND FASTER CALCULATIONS

ABHINAV VERMA PRESENTS TO YOU THE FOLLOWING TRICKS OF THE TRADE WHICH WILL DEFINITELY HELP YOU IN THE FUTURE



1.To find the square of a two digit no.

Example 32²

STEPS

1) First find the square of the digit at units place

2² = 4

32² = ____4

2) Find the product of the digit at units place, digit at tens place and the index and add the carry on(if there)

3*2*2 = 12

32² = ____24

here 1 is the carry on

3) now find the square of 3 and add the carry on

3² + 1 = 10
32² = 1024 (answer)

2.To find the cube of a two digit number

Example: 24³

Step 1
First we will find the cube of units place (that is 4 in this case)
4³=64
24³=___4 (we will write only 4 and will take 6 as a carry on)



Step2
Now we will find the product of both the digits, the no. and the index and will add
the carry on
So we will multiply (2*4*3*24)+6
(2*4*3*24)+6=582
24³=__824(here we will write only two digits i.e. 82 and will
take 5 as a carry on)



Step3
Now we will find the cube of digit at tens place and will add the carry on

Here we will find the cube of 2 and will add 5 which was the carry on obtained from
previous result)
2³+5=8+5=13

24³=13824 (answer)


3. To find the square of the three digit number

Example 246²

STEPS

1) To find the square of 6

6² = 36
We will write 6 and take 3 as carry on

246²= _____6

2) Now we will find the product of digit at tens place, the digit at units place and the index and we will add the carry on .
So, here we will multiply (4*6*2) + 3 = 51

246² = _____16
here we will take 5 as a carry on

3) Now we will find the square of 24 and add the [digit at hundreds place *(digit at unit place *index)] i.e.(2*(6*2)
and then add the carry on

24² + 2*12 + 5 = 605
246² = 60516 (answer)



4. To find the square of a number which has 6 in the units place

Example 96²

Steps
1.First we will find the square of digits in the units place i.e.6
6²=36
and we will write only 6 and will take 3 as a carry on
therefore 96²=___6 (take 3 as carry on)

2. Now we will multiply the digit at tens place with the index and will add the carry on.
(9*2)+3=21
here we will write only 1 and will take 2 as carry on
therefore 96²=__16 (take 2 as carry on)

3.Now we will find the product of the no.at tens place with the next no.
i.e in this case we will multiply 9*10(here 9 is the no. and 10 is the next no.) and we will add 2
9*10+2=92
96²=9216 (answer)




5. To find the square of a no. which has 8 in the units place


Example 482

1.first we will find the square of a digit in the units place i.e. we will find the square of 8.
82 =64 here we will write 4 and will take 6 as a carry on.
482=____4(here 6 is the carry on)

2.now we will multiply the digit at ten’s place with 6 and will add the carry on.
So here we will multiply 4 with 6 and will add 6.
(4*6)+6=30 here we will write 0 and will take 3 as a carry on.
482=__04

3.now we will multiply the digit at tens place with next no. so here we will multiply 4 with 5 and then we will add the carry on that is 3 in this case.
(4*5)+3=23

482=2304(answer)

MADE BY :

ABHINAV VERMA