Question

How many `"milliseconds"` in `0.72*"kiloseconds"`?

Answer 1

Well what is `10^3/10^-3`....I make it `10^6`

Explanation:

`"ks"` `=` `"kilosecond"=10^3*s`

`"ms"` `=` `"millisecond"=10^-3*s`

And so there are one million milliseconds per kiloseconds....i.e. `1000xx1000*ms`...

And thus `0.72*ks-=0.72xx10^3*s=720*s=720xx10^3*ms`

In terms of length there are `10^6*mm` in every `"kilometre"`...

i.e. `"kilometre"/"millimetre"=(10^3*m)/(10^-3*m)=10^6`

Answer 2

0.72 ks = 720,000 ms

Explanation:

We know that the prefix kilo- means "one-thousand," and that milli- means "one-thousandth." Therefore, we can make the two following conversion factors:

1 ks = 1000 s, and
1 s = 1000 ms

We can now set up our dimensional analysis:

`(0.72"ks")/1 * (1000"s")/("ks") * (1000"ms")/"s"`

Cancelling the like units:

`0.72/1 * 1000/1 * (1000"ms")/1`

Simplifying:

`0.72 * 1000 * 1000"ms"`

`720 * 1000"ms"`

`720000"ms"`