Math Tricks? Yes, but not magic!
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2 Comments
I would like to share a few tricks which i found cool.
Two digit number and its reverse always divisble by 11
The sum of a two digit number and its reverse is always divisible by 11
eg (66+66/11 =132/11=12)
89+98 /11=17 etc etc)
Magic of 37
any 3 digit number where all the digits are same is divisible 37.yes!! 333,444,555,666…all are divisible by 37
Mental Multiplication with 11
multiplication by 11,for eg 35*11=385(3(3+5)5) keep the first and the last digit same and the middle digit is the sum of the two
multiplication of numbers with same tens digit
23*27=621.
step1: 2*(2+1)=6 is the first digit.
step2: 7*3=21 second digit
multiply numbers between 11 and 19.
eg) 18*14=252.
step 1: 18+4=22
now add a zero at the end we get 220
step 2 :multiply the right most digits 8*4=32
Add 220 and 32
we get 220+32=ans
The sum of 5 successive whole numbers is always divisible by 5
eg) 6+7+8+9+10=40 which is divisible by 5
The product of 3 consecutive natural numbers is always divisible by 6
eg) 6*7*8=336/6=56
The product of 3 consecutive natural numbers is always divisible by 24(if the first of the 3 natural consecutive natural numbers is even)
8*9*10=720/24=30
The last digit of the product of any 9 consecutive natural numbers is always 0
eg )(1*2*3*4*5*6*7*8*9=362880)
(as the product of any 5 consecutive natural numbers is always 0)
mentally squaring for 5
eg) 35*35=3*(3+1)…..25=1225
Great stuff, thanks