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Division techniques

How to divide and multiple thousands, milions and bilions fast?

Hello,

Does anybody have any tips/strategies on how to divide and multiple with K, M and B fast? I struggle a bit with adding the right amount of zeros to the result. 

Examples could be something like 15B / 350 = .

K - thousand

M - milion

B - bilion

Thanks for tips!

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Top answer
Vlad
Coach
on Jul 07, 2018
McKinsey / Accenture Alum / Got all BIG3 offers / Harvard Business School

Hi,

There are several techniques that you can use: 

1) Learn how to work with zeros. Best way - always use 10^power instead of zeros

Example:

300x9000 = 3*10ˆ2 x 9*10ˆ3=3x9*10ˆ(2+3)=27*10ˆ5

Handwritten it looks not that complicated. If you get used to writing all the numbers that way, you will never lose zeros and all multiplications/divisions will be replaced with + or -.

In your case, it will look like 63 * 10ˆ5 / 72 * 10ˆ2

2) Learn how to multiply double digit numbers

Pls check this video - https://www.youtube.com/watch?v=6ndkkPZYJHo It takes an hour to learn this method

3) Learn how to divide the numbers fast

If you need the precise calculation you can use the basic division technique, calculating 630 / 72 * 10ˆ2 = 875

If you don't need it precise - Learn the division table up to 1/11 (i.e. 5/6 = 83.3%). It will help you calculate any percentage problems

In your case, it will be roughly 6/7 * 10ˆ3 = 85.7 * 10ˆ3 or 857. Since I know that it was the rough calculation and the real number should be bigger, I would round the final result to 870

Best!

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