Question

Convert 37.5 kg to ug (micrograms). Report your answer to 3 s.f. and use scientific notation following this format: if the correct answer was 3,750,000 ug you'd report it as 3.75e6, where "e" represents "x 106. If the correct answer was 0.3750 ug you'd report it as 3.75e-1, where "e" represents "x 10-1. Do not include units in your answer

Answer 1

37.5 kg to \(\mu g\).

whenever you're converting units in the metric system, you're literally moving the decimal point.

\({\color{red}{1}\;2\;3}\;\color{green}4\;5\;6\;\color{blue}7\;8\;9\;\color{pink}{10}\)
\(\color{red}{kg} \;\;\;\;\; \color{green}g\;\;\;\;\;\;\;\color{blue}{mg}\;\;\;\;\;\color{pink}{\mu g}\)

so say you had 5 kg and you were asked to convert to grams, you move the decimal place 3 places over to the right. 5.0 kg = 5000.0 g

similarly, if you're moving from a lower units to a higher unit you move the decimal over to the left. 5.0 \(\mu g\) = 0.005 mg.

They may not explicitly write the decimal point, i.e. 50 km, but it is assumed that you know it's 50\(\large\color{red}.\)0 km.

Answer 2

ok thanks!!

Answer 3

so would it be 37500000000.0?

Answer 4

yeah, but they asked you to express it in scientific notation