There are many contents in this Solving process. Basics are 'Simplifications'. In those Additions, Subtractions, multiplications and divisions take a key role. Additions and subtractions are tough for us.. in these 5-digit calculations are also very easy. Now, coming to multiplications and divisions, first of all u need to know tables very thoroughly. In these, 2 or 3 digit calculations are also tough. So now, we will see how to multiply 2-digit numbers.
The Rule is " | X | "
a b
| X |
c d
ie the answer will be of min. 3-digit number. so UNITS digit will be " | " = b*d or bd
TENS digit will be " X " = ad + bc
Hundreds digit will be " | " = ac
Sample
2 3 5 6
| X | | X |
2 1 4 2 here 6 x 2 = 12, 5x4 = 20, ans 5x2 + 6x4 = 10 + 24 =34
4 8 3 20 12
+ 34
2352
The above mentioned is the basic formula for any type of 2-digit multiplication
To know squares
You know this formula right.. the same way
to get square of a number UNITS digit will be --- b^2
TENS digit will be --- 2ab
HUNDREDS digit will be -- a^2
34^2 = 9 4 6
+ 2 1 3x3 =9, 4x4 = 16 and 1 is carried to tens digit
= 12 5 6 2x3x4 = 24, where 2 is carried to next digit
Will be back to u soon
If u have any doubts in any topic such as percentages, train problems, and any thing. Please post here. I'll try to get back to you in 2-3 days.
The Rule is " | X | "
a b
| X |
c d
ie the answer will be of min. 3-digit number. so UNITS digit will be " | " = b*d or bd
TENS digit will be " X " = ad + bc
Hundreds digit will be " | " = ac
Sample
2 3 5 6
| X | | X |
2 1 4 2 here 6 x 2 = 12, 5x4 = 20, ans 5x2 + 6x4 = 10 + 24 =34
4 8 3 20 12
+ 34
2352
The above mentioned is the basic formula for any type of 2-digit multiplication
To know squares
(a+b)^2 = a^2 + 2ab + b^2
You know this formula right.. the same way
to get square of a number UNITS digit will be --- b^2
TENS digit will be --- 2ab
HUNDREDS digit will be -- a^2
34^2 = 9 4 6
+ 2 1 3x3 =9, 4x4 = 16 and 1 is carried to tens digit
= 12 5 6 2x3x4 = 24, where 2 is carried to next digit
Will be back to u soon
If u have any doubts in any topic such as percentages, train problems, and any thing. Please post here. I'll try to get back to you in 2-3 days.
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