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Maths Trick Shortcut way of calculating the numbers
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Maths Trick Shortcut way of calculating the numbers
If you want to multiply any number by 11, start from right to left.
Write first digit(unit digit) as it is.
Add the first and second digit and Wright it at second place (tens place).
If the sum is greater than 9 then take the carry to the next sum.
Continue like this and finally write the last digit as it is.
Write first digit(unit digit) as it is.
Add the first and second digit and Wright it at second place (tens place).
If the sum is greater than 9 then take the carry to the next sum.
Continue like this and finally write the last digit as it is.
Example:-
7857 x 11 = First digit = 7
For Second digit = 5+7 = 12 this is imply that second digit is 2 and 1 is taken as carry with the next step.
For third digit = 8+5 = 13 + 1(carry)=14 this is imply that third digit is 4 and 1 is taken as carry with the next step.
For fourth digit = 7+8+1(carry) = 16 this is imply that fourth digit is 6 and 1 is taken as carry with the next step.
For fifth digit = 7+1(carry) = 8 this is imply that fifth digit is 8
Arranging all these digits we get 7857 x 11 = 86427
Trick No. 2 : Multiplying any number by 99999…….
Multiplication with 9999….. is always difficult because 9 is the last most digit on the multiplication table. But multiplication with 9 can be made very easy because it is nearest to 10. For this we follow the following steps.
To multiply any number by 9999….. , simple we put zeros after the given number as there are 9’s in the multiplication and from the result subtract the number itself.
Example:-
3456 x 9 = 34560 - 3456 = 31104
3456 x 99 = 345600 – 3456 = 342144
3456 x 999 = 3456000 - 3456 = 3452544
3456 x 999999 = 3456000000 – 3456 = 3455996544
This trick always provide you the correct result without any multiplication.
Trick No 3 :- Squaring any number of 9
(9999)2 = 9999 x 9999 = 99980001
Trick:-
Write the given number(9999), subtract 1 from the given number we get 9998.
Now Subtract 9998 from 9999 we get 0001
Place 0001 after 9998 we get 99980001 [Result of the multiplication]
Trick No 4 :- Multiplying any number with equal number of 999…
349 x 999 = 348651
Trick :- 349-1 = 348
999-348 = 651
So Result of the multiplication is 348651
56789 x 99999 = 5678843211
Trick :- 56789-1 = 56788
99999-56788 = 43211
So result of the multiplication is 5678843211
Trick No 5 :- Method of finding the square of any two digit number with sum of the unit digit = 10 and same tens digits.
25 x 25 = 625
Trick :- Multiply unit digit = 5 x5 = 25
Tens digit = 2 so
(2+1) x 2 = 6
Result of the multiplication is 625
53 x 57 = 3021
Trick :- Multiply unit digit = 3 x 7 = 21
Tens digit = 5 so
(5+1) x 5 = 30
Result of the multiplication is 3021
98 x 92 = 9016
Trick :- Multiply unit digit = 8 x 2 = 16
Tens digit = 9 so
(9+1) x 9 = 90
Result of the multiplication is 9016
Trick No 6 :- Method of finding the square of any two digit number
(32)2 = 1024
Trick : Square of unit digit = 2 x 2 = 4(unit digit)
3 x 2 x 2 = 12 ( From 12 take 2 as tens digit and 1 as carry)
3 x 3 = 9 + 1(carry) = 10 ( Last two digits)
Result of the multiplication : 1024
(67)2 = 4489
Trick : Square of unit digit = 7 x 7 = 49(unit digit 9 and 4 as carry)
6 x 7 x 2 = 84 + 4(carry) = 88 ( From 88 take 8 as tens digit and 8 as carry)
6 x 6 = 36 + 8(carry) = 44 ( Last two digits)
Result of the multiplication : 4489
Trick No 7 :- Simple method of multiplication ( Useful for the starters)
36 x 29 = (30 + 6) x (20 + 9)
x
|
30
|
6
| |
20
|
20 x 30 = 600
|
20 x 6 = 120
| |
9
|
9 x 30 = 270
|
9 x 6 = 54
| |
Add
|
= 870
|
= 174
|
1044
|
332 x 289 = (300 + 30 + 2) x (200 + 80 + 9)
X
|
300
|
30
|
2
|
Add
|
200
|
60000
|
6000
|
400
|
66400
|
80
|
24000
|
2400
|
160
|
26560
|
9
|
2700
|
270
|
18
|
2988
|
Add
|
86700
|
8670
|
578
|
95948
|
Trick No 8 :- Trick for the square and square root
A number ending with 2, 3, 7, 8 is never a perfect square.
Square root of even number is even and square root of odd number is odd.
Square root of even number is even and square root of odd number is odd.
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