When measuring some property of an object the number we measure depends on the units chosen. For example, 1cm = 0.01m, so converting from cm to m makes the number get smaller; we need more small units to make up the number of big units. In each case below, does the number get bigger or smaller following a change in units? Can you estimate without a calculator an approximate factor by which the numbers would change in each case?

1 cm $^{2} \to ? ?$ m $^{2}$
1 foot $\to ? ?$ inches
1 mile $\to ? ?$ kilometers
1 litre $\to ? ?$ cm $^{3}$
1 foot $^{3} \to ? ?$ inches $^{3}$
1 m s $^{- 1} \to ? ?$ miles / hour
1 mm $^{3} \to ? ?$ m $^{3}$
1 degrees C $\to ? ?$ degrees K
85 degrees $\to ? ?$ radians
1 Pa $\to ? ?$ cm $^{- 1}$ g s $^{- 2}$
1 W $\to ? ?$ cm $^{2}$ g s $^{- 2}$
1 Hz $\to ? ?$ per minute
1 Mol $\to ? ?$ trillion
Molarity of 1 $\to ? ?$ per cm $^{3}$
1 katal $\to ? ?$ million million per picosecond

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