Live data from Hacker News

A mathematician's way of converting miles to kilometers

twitter.com

111–120 of 208 posts

Re: A mathematician's way of converting miles to kilometers

#111
post #101
post #4

In related news - pounds to kilos is "divide by 2, less 10%". Very precise too. 160lbs = 80 - 8 = 72kg

Any similar shortcut for feet inches to cm? I find this conversion to be slower to compute than miles to km or lbs to kg.

this was the size of my ruler: 12 inch ≈ 30 cm. therefore,

   2 inch ≈ 5 cm

Re: A mathematician's way of converting miles to kilometers

#112
post #95

Earlier quoted context omitted.

Kelvin IS Celsius, only starts at absolute zero. 0 C is 273 Kelvin, and 0 Kelvin is -273 Celsius. You add 273 to any Celsius measurement, and voila, it's Kelvin.

No. That's actually not quite correct. You add 273.15... The size of the degree is the same of course. My point is that if you want to use a "correct" scientific measurement on a day to day basis you'd use Kelvin. As soon as you're converting, you're converting whether from Celsius or Fahrenheit. ADDED: There's an argument for Celsius vs. Fahrenheit of course in so far as the size of the degree is baked into some oth…

The fact that degree is the same means that energetically 1 degree C is equal to 1K. So when doing scientific calculations, for example to calculate energy needed to change the temp by X, they are the same. The fact that the scale is based on water properties seem to be just so values are easier to relate to. We are water based, after all.

Can anyone provide any reason to use Fahrenheit scale, apart from historical ones? Legit question.

Re: A mathematician's way of converting miles to kilometers

#113
post #4

In related news - pounds to kilos is "divide by 2, less 10%". Very precise too. 160lbs = 80 - 8 = 72kg

It took me a second to parse what you were saying. Essentially since it’s 2.2LBS per kg the first divide gets you the number on both sides of the decimal. Very cool

Re: A mathematician's way of converting miles to kilometers

#115
post #106

Does not seem to be very convenient for figures which are not the product of one of the first few members of the Fibonacci sequence and a power of 10, at least compared to multiplying by 1.6.

You can sometimes use it by breaking the number down into smaller Fibonacci numbers. For example 29km = 21km + 8km = 13 miles + 5 miles = 18 miles. (Correct result is 18.02 miles.)

Re: A mathematician's way of converting miles to kilometers

#116

Earlier quoted context omitted.

Not if you just remember 3,5,8,13 . You do not need to remember all fibonacci numbers, just the above and rest you can multiple by 2,5,10 and get them

How many km is 4 miles? That's not on the list of numbers.

Just under 7. Or 6.666...

Because knowing a km is 3/5 of a mile is more useful. It follows that a mile is 5/3 of a km. From there it's basic math. 4 * 5 is 20. 20 / 3 is 6.666...

Re: A mathematician's way of converting miles to kilometers

#117
post #112
post #95

Earlier quoted context omitted.

No. That's actually not quite correct. You add 273.15... The size of the degree is the same of course. My point is that if you want to use a "correct" scientific measurement on a day to day basis you'd use Kelvin. As soon as you're converting, you're converting whether from Celsius or Fahrenheit. ADDED: There's an argument for Celsius vs. Fahrenheit of course in so far as the size of the degree is baked into some oth…

The fact that degree is the same means that energetically 1 degree C is equal to 1K. So when doing scientific calculations, for example to calculate energy needed to change the temp by X, they are the same. The fact that the scale is based on water properties seem to be just so values are easier to relate to. We are water based, after all. Can anyone provide any reason to use Fahrenheit scale, apart from historical o…

Sure. Where I live:

1. Fahrenheit is far more likely to cover the range of temperatures I encounter without having to use negative numbers. 0 is really cold. Anything below zero is really freaking cold. The temperature of the boiling point of water is mostly an academic point in my day to day life.

2. Fahrenheit provides about 2x the granularity of Celsius without having to use decimals

I'm not going to argue that if Fahrenheit didn't exist, we'd invent it. But it does have some advantages as an existing system.

ADDED: For engineering using SI units, of course Celsius and Kelvin make a lot more sense.

Re: A mathematician's way of converting miles to kilometers

#118
post #82
post #40

Wait, doesn’t everyone know there 1.6 times tables ?

I only had to learn tables up to 10, 11 and 12 were useful to know, but not mandatory.

I had one slightly eccentric teacher who decided that the 25 and 125 times table were also necessary. While I don't know about necessary, I've definitely used that knowledge (possibly more useful to think of them as the one-quarter and one-eighth times tables with a shift).

16 would have also been useful for mi/km conversion and hex/dec conversion.

Re: A mathematician's way of converting miles to kilometers

#119

Isn't that rather the physicists way? Works well enough, used in a way not quite as intended by mathematicians, ... Disclaimer: I am physicist myself.

Ha, I saw a downvote there!

I'm fine with that - on the condition that you never, ever treat a differential operator like a fraction again ;)

Re: A mathematician's way of converting miles to kilometers

#120
post #101
post #4

In related news - pounds to kilos is "divide by 2, less 10%". Very precise too. 160lbs = 80 - 8 = 72kg

Any similar shortcut for feet inches to cm? I find this conversion to be slower to compute than miles to km or lbs to kg.

A metre is about 40 inches, and an inch is about 2.5 cm. So, first into total inches, then take out as many 40s as you can, then multiply what's left.

5' 7" -> 5 * 12 + 7 inches -> 67 inches -> 1 metre 27 inches -> 1 metre 67 centimetres

Which isn't quite right, but is close-ish! And not really easy enough to call a shortcut either!

Post reply on HN