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

2 Answers
anor277
Jan 25, 2018

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#

Aviv S.
Jan 25, 2018

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"#

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