I'm losing up a bit, but I came back. Here's a challenge on E notation lesson

Here’s a first answer:
310,200,000 = 3.102 × 10⁸

I’m still don’t get the point of E notation, is there a set rule to it? Are you supposed to always shorten it to one point decimal to a power of ten? Or can you also do:

31.02 × 10⁷
310.2 × 10⁶
3102 × 10⁵

Anyway, here’s a second answer:
2.56 × 10¯⁴ = 0.000256

Does this mean it can also shorten as?

25.6 × 10¯⁵
256 × 10¯⁶

The golden rule is that the significand (the number on the left) should be greater than 1 but less than 10.

Scientific notation is really just used to help with the readability of really big, or really small, numbers.

As an example, let’s say you had the number 5,231,356,100,000,000,000,000,000,000.
In this form it’s easy to say that it’s a large number, but to say how big would require counting all of the digits.
If we instead convert this to 5.23 x 10^27, we can now say that it’s “about 5 with 27 zeros” or “5 Octillion” without doing any counting.

In programming you’ll come across this way of representing numbers fairly often. However, the “x10” part will be replaced with “E”, for exponent. So you might see 5.23E27 instead.

I hope that helps clear things up, but if you have any questions then please let me know.


Ok, noted. Thank you for the explanation. <3

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