Math Assignment Class VIII | Square & Square Root

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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. |
(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] |
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
|
25 x 25 = 625
Trick :- Multiply unit digit = 5 x5 = 25
(2+1) x 2 = 6
Result of the multiplication is 625
53 x 57 = 3021
Trick :- Multiply unit digit = 3 x 7 = 21
(5+1) x 5 = 30
Result of the multiplication is 3021
98 x 92 = 9016
Trick :- Multiply unit digit = 8 x 2 = 16
(9+1) x 9 = 90
Result of the multiplication is 9016
|
(32)2 = 1024
Trick : square of unit digit = 2 x 2 = 4(unit digit)
3 x 2 x 2 = 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 ( take 8 as tens digit and 8 as carry)
6 x 6 = 36 + 8(carry) = 44 ( Last two digits)
Result of the multiplication : 4489
|
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
|
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
|
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