Question

Which of the following fractions can be used in the conversion of 32 m3 to the unit mm3?

fraction cubed: one mm over ten to the negative third power m

fraction cubed: one m over ten to the negative third power mm

one mm over ten to the negative third power m

ten to the negative third power m over one mm

Answer 1

When converting units i like to use the method which is often applied to fractions, which is to "cancel out" the terms.

\[1mm=10^{-3}m\]I choose to rearrange this so that I can cancel off the units. In this case to cancel off the mm.
\[\frac{10^{-3}m}{1mm}=1\]
So\[32mm=32mm*1= 32mm*\frac{10^-3m}{1mm}=0.032m\]

In your question, it is:
So\[32mm^{3}=32mm^{3}*1= 32mm^{3}*(\frac{10^-3m}{1mm})^{3}=32mm^{3}*(\frac{1m}{1000mm})^{3}\]

Answer 2

Thank you!

Answer 3

Can you help me with another one?

Answer 4

Which of the following is not a step in the conversion of 1.3 dam3 to L?

fraction cubed: ten to the negative third power L over one mL

one mL over one cubic cm

fraction cubed: one cm over ten to the negative second power m

fraction

Answer 5

Is there a fourth option? The 3 look fine to me.

Answer 6

yes

Answer 7

fraction cubed: ten to the negative third power L over one mL

I think this answer appears like\[(\frac{10^{-3}L}{1mL})^{3}\]