What are some amazing math tricks?

What are some amazing math tricks?




What are some amazing math tricks?


  Are you ready to give your mathematical skills a boost??? Because today I am going to present some awesome mathematical magic tricks that will blow your mind...

#1 

Take any three digit number in your mind with all different digits like 123, 845, 904 etcetera. Don't take numbers like 111, 663, 900 etcetera. Now reverse the number to get a new number like if the number you chose was 123 then reverse it to get 321. Now you have two numbers. So subtract the smaller number from the larger number. Now add up the digits of the answer that you have got. Like if your answer was 198, then do 1+9+8. Now, can I guess your answer??? Is it 18...

Are you wondering how I got to know your answer, then keep reading below...

Let the number you chose be abc i.e. 100a+10b+c. Now the reverse is cba i.e. 100c+10b+a. For the sake of simplicity, let abc be greater than cba. Therefore now subtract cba from abc. That is, 
=100a+10b+c-(100c+10b+a)
=100a-a+10b-10b+c-100c
=99a-99c
=99(a-c)
We know that a>c as abc>cba.
We also know that a and c are single digit numbers.
Therefore a-c will always be from 1 to 9 i.e. only 9 possibilities.
And 99 times of those 9 possibilities is 
99, 198, 297, 396, 495, 594, 693, 792, and 898.
They all sum upto 18...
9+9=18
1+9+8=18
2+9+7=18
3+9+6=18
4+9+5=18
5+9+4=18
6+9+3=18
7+9+2=18
8+9+8=18
That is why I knew the answer 18.

#2

Pick up any number in your mind between 2 to 9. Multiply it by 9. Now add all the digits of your answer. If your answer is 62 then 6+2; like this. Now subtract five from it. Now look for the associating alphabet for your answer. Like if the answer is 1 the the associating alphabet is A. If 2 then B and likewise. Now think of a country from that alphabet. Now think of an animal from the second letter of the country you thought earlier.

I don't think there are many elephants in Denmark!!!

How I got to know about your choice??? Keep reading below...

Whatever number you choose and multiply it by 9, the sum of the answer will always be 9...
0+9=9
1+8=9
2+7=9
3+6=9
4+5=9
5+4=9
6+3=9
7+2=9
8+1=9
9+0=9

So I knew that the answer is 9. Then I told you to subtract 5 and I knew the answer i.e. 4. Now the associating alphabet will of course be D. The common country with D is Denmark (Have you ever heard about Dijbouti!). The commonly thought animal from E (The second letter of Denmark!) is elephant. So I made my statement 'I don't think there are many elephants in Denmark!!!'

#3 Drop the zero.

Take a number. Multiply it by 5. Then multiply the answer by 2. Now drop the zero and the answer is your original number.

This is but obvious because 5x2 is 10. And multiplying any number by 10 adds up an zero to the end.

Example:
Number is 276.
276x5=1380.
1380x2=2760.
Drop the zero.
276 - The original number.

#4

Think of a number. Double it. Add 10. Now divide the answer by 2. Subtract your original number. Now can I guess your answer??? Is it 5???

When you think of a number, then double it, then add 10, you'll end up with 10 more than you started with. Cutting it in half effectively gives you the number you started with plus 5. Finally, subtracting the original number leaves you with 5. By doubling, dividing, and subtracting, you remove the original number from the equation, but by adding 10 in the middle you're left with 5 due to the dividing of 2.

#5 'x6'

Take any even number between 1 to 9. Multiply it by six as many as time you want, the units place will still be the original number only. 

2x6=12, 12x6=72, 72x6=432, 432x6=2592 and so on.

Now do you love mathematics??? Comment below if you knew any of these. Also tell me in the comments if you know some more amazing math tricks.
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