Square chapter is the much needed part of the
simplification/ Mathematical calculation. Square means multiplication of
natural number with itself. You have calculated square of natural number in
primary section many times but here I am going to guide you for faster
calculation of square with the help of some tricks.
If you have learnt the
square of natural numbers from 1 to 25 then this tricky method of calculation
of square of other numbers will help you to save your time in calculation but
practice is needed & compulsory. Its a expert advice not to avoid it.
Lets
proceed with this chapter..........
Ø
Square of the natural numbers ending
with zero (0)
102
= 100 (2 zeros at the end) 1002 = 10000 (4 zeros at the end)
202
= 400 (2 zeros at the end) 1102 = 12100 (2 zeros at the end)
302
= 900 (2 zeros at the end) 1502 = 22500 (2 zeros at the end)
402
= 1600 (2 zeros at the end) 10002 = 1000000 (6 zeros at the end)
502
= 2500 (2 zeros at the end) 10102 = 1020100 (2 zeros at the end)
Method :-
Step 1St :-
First of all hide all the consecutive zero at the end of the given
number & consider the given number without zero at the end.
Example
given number is 1202 → consider this number as only 12 (as
number of consecutive zeros at the end
of gien number is 1).
Step 2nd :-
Now calculate the square of considered number.
In the example we have considered 120 as only 12.
now 122 = 144
Step 3rd :-
Now follow the above calculated square with the double number of zeros as
present in the original given number.
In the example we have calculated 144, which will
followed by 2-zeros (just double of the number of zeros as present in the given
number like this 14400, which is the required answer of 1202)
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