Without using calculator, compute this:
9 2 × 9 6
Read more: Mental math tricks
This problem is part of the set Near 100 multiplication .
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I didn't think that can be calculated this way. Nice solution.
●
1
0
0
−
9
2
=
8
.....
(
1
)
●
1
0
0
−
9
6
=
4
.....
(
2
)
Multiplying
(
1
)
and
(
2
)
.
Therefore, last two digits
3
2
.
Now, first two digits 9 2 − 4 = 9 6 − 8 = 8 8 .
∴ 9 2 × 9 6 = 8 8 3 2 .
a×b = x
100-(a+b) = y
(100-a)×(100-b) = "x"+"y"
92×96 = (100-8)×(100-4)
a = 8
b = 4
x = 100-(8+4) = 88
y = 8×4 = 32
92×96 = "x"+"y" = 8832
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(94-2)(94+2)= 9 4 2 - 2 2 ( a − b ) ( a + b ) = a 2 − b 2 = 8 8 3 6 − 4 = 8 8 3 2 For calculating 9 4 2 decrease 94 by as much as it is less from 100(i.e subtract 6) and then attach to it square of that subtracted number. 1. 96- 4 =88, 2. 9 4 2 =88 3 6