Solve the question on your notebook and check it by clicking (Answer and Explanation) below question.
Simplify 586645 × 9999
1939392 × 625
Trick: when multiplying with
5n
then put n zeros to the right of multiplicand and divide the number with
2n
So using this we can solve this question in much less time.
Simplify (212 × 212 + 312 × 312 )
Trick: Above equation can be solved by using following formula
Find the unit digit in (544)102+(544)103
Find the unit digit in
(544)102+(544)103
Required digit is =
(4)102+(4)103
as
(4)2
gives unit digit 6 so
(4)102
unit digit is 6 and
(4)103
unit digit is, unit digit of
6×4
= 4, so answer will be unit digit of 6 + 4 = 0
What least value should be replaced by × in 223×431 so the number become divisible by 9
Trick: Number is divisible by 9, if sum of all digits
is divisible by 9, so (2+2+3+ × +4+3+1) = 15+ × should be
divisible by 9,
15+3 will be divisible by 9,
so that least number is 3.
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