Yeah, agreed. Also, using just an e makes it much easier to type on a phone keyboard.
There are also other variants, like ee and EE. And also sometimes you see a variant which uses only multiples of three as the exponent. I think it’s called engineering notation instead of scientific notation? So like 1e3, 50e3, 700e6, 2e9. I also like this version less.
Sticking to multiples of three does have a minor advantage of aligning itself with things that there are already number-words for; “thousand”, “million”, “billion” etc.
So for those who don’t work with the notation often, they might find it easier to recognise and mentally translate 20e9 as “20 billion”, rather than having to think through the implications of 2e10
Makes me wonder if there’s an equivalent notation for languages that use other number word intervals. Multiples of 4 would work better in Mandarin, for example.
Although i guess it’s more important that it aligns with SI prefixes?
Well, the nice thing about at least agreeing on using e as the notation means its easy to understand variants which prefer subsets of exponents. 500e8, 50e9, and 5e10 all are reasonably mutually intelligible. I think sticking to a subset of exponents does feel intuitive for talking about numbers frequently encountered in everyday life, but seems a little contrived when talking about large numbers. 4e977 seems to me like it isn’t much easier to understand when written as 40e976 or 400e975.
There is a bit of a tradeoff if the notation aims to transmit the idea of measurement error.
I would read “700e6” as saying that there were three digits of presumed accuracy in the measurement, and “50e3″ as claiming only two digits of confidence in the precision.
If I knew that both were actually a measurement with a mere one part in ten of accuracy, and I was going to bodge the numeric representation for verbal convenience like this, it would give my soul a twinge of pain.
Also, if I’m gonna bodge my symbols to show how sloppy I’m being, like in text, I’d probably write 50k and 700M (pronounced “fifty kay” and “seven hundred million” respectively).
Then I’d generally expect people to expect me to be so sloppy with this that it doesn’t even matter (like I haven’t looked it up, to be precise about anything) if I meant to point to 5*10^3 or 5*2^10. In practice I would have meant roughly “both or either of these and I can’t be arsed to check right now, we’re just talking and not making spreadsheets or writing code or cutting material yet”.
I see it. If you try to always start with a digit, then always follow with a decimal place, then the rest implies measurement precision, and the mantissa lets you ensure a dot after the first digit <3
The most amusing exceptional case I could think of: “0.1e1” :-D
This would be like “I was trying to count penguins by eyeball in the distance against the glare of snow and maybe it was a big one, or two huddled together, or maybe it was just a weirdly shaped rock… it could have been a count of 0 or 1 or 2.”
Yeah, agreed. Also, using just an e makes it much easier to type on a phone keyboard.
There are also other variants, like ee and EE. And also sometimes you see a variant which uses only multiples of three as the exponent. I think it’s called engineering notation instead of scientific notation? So like 1e3, 50e3, 700e6, 2e9. I also like this version less.
Sticking to multiples of three does have a minor advantage of aligning itself with things that there are already number-words for; “thousand”, “million”, “billion” etc.
So for those who don’t work with the notation often, they might find it easier to recognise and mentally translate 20e9 as “20 billion”, rather than having to think through the implications of 2e10
Yeah, that’s probably the rationale
Makes me wonder if there’s an equivalent notation for languages that use other number word intervals. Multiples of 4 would work better in Mandarin, for example.
Although i guess it’s more important that it aligns with SI prefixes?
Well, the nice thing about at least agreeing on using e as the notation means its easy to understand variants which prefer subsets of exponents. 500e8, 50e9, and 5e10 all are reasonably mutually intelligible. I think sticking to a subset of exponents does feel intuitive for talking about numbers frequently encountered in everyday life, but seems a little contrived when talking about large numbers. 4e977 seems to me like it isn’t much easier to understand when written as 40e976 or 400e975.
There is a bit of a tradeoff if the notation aims to transmit the idea of measurement error.
I would read “700e6” as saying that there were three digits of presumed accuracy in the measurement, and “50e3″ as claiming only two digits of confidence in the precision.
If I knew that both were actually a measurement with a mere one part in ten of accuracy, and I was going to bodge the numeric representation for verbal convenience like this, it would give my soul a twinge of pain.
Also, if I’m gonna bodge my symbols to show how sloppy I’m being, like in text, I’d probably write 50k and 700M (pronounced “fifty kay” and “seven hundred million” respectively).
Then I’d generally expect people to expect me to be so sloppy with this that it doesn’t even matter (like I haven’t looked it up, to be precise about anything) if I meant to point to 5*10^3 or 5*2^10. In practice I would have meant roughly “both or either of these and I can’t be arsed to check right now, we’re just talking and not making spreadsheets or writing code or cutting material yet”.
FWIW, I read 700e6 the same as 700M or 7e8. If someone was trying to communicate significant figures I’d expect 7.00e8.
I see it. If you try to always start with a digit, then always follow with a decimal place, then the rest implies measurement precision, and the mantissa lets you ensure a dot after the first digit <3
The most amusing exceptional case I could think of: “0.1e1” :-D
This would be like “I was trying to count penguins by eyeball in the distance against the glare of snow and maybe it was a big one, or two huddled together, or maybe it was just a weirdly shaped rock… it could have been a count of 0 or 1 or 2.”