‘e’ in javascript numbers

I need to understand the following:

when I type 4e4 in Google Chrome’s console it returns 40000.

Can anyone help me to understand what is e in javascript numbers and what is the algorithm working for this?

Thanks in advance

4e4 is a floating-point number representation.
It consists of:

  1. Sign – S(+ or -)
  2. Mantissa – M(some number, normalized: 1.x where x is some sequence of digits)
  3. Exponent – E(represents a power of 10 that is Mantissa(M) multiplied with)

It is also a way of how floating-point numbers are stored on the system. For instance, for single-precision we get:
single-precision floating-point number representation

Together, it gives us:

-1^S * M * p^E where p is the basis of the numerical system

So, in common sense, p can be anything so that 4e4 could be also 4 * 5^4 if p == 5

As we usually work with decimal values p is equal to 10

And as was answered before, 4e4 == 4 * 10^4 (as 4 is a decimal value in this case)

‘e’ in a number like that is the same as ‘times 10 to the power of’

3.2e6 is 3.2×10^6

4*10^4

If the number was 4e5 this would be equal to 4*10^5

etc.


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