If you were asked to convert 25 cg to the unit hg, which of the following would be the first fraction used in the conversion? one hg over ten squared g ten squared cg over one hg ten squared hg over one cg ten to the negative second power g over one cg

We are asked to convert 25 cg to units of hg.

1 cg = 1 centigram = 10⁻² g

1 hg = 1 hectogram = 10² g

The options given are:

a) 1 hg / 10² g

b) 10² cg / 1 hg

c) 10² hg / 1 cg

d) 10⁻² g / 1 cg

To convert 25 cg to 1 hg, we could convert the 25 cg to grams first, then grams to hg.

25 cg · 10⁻² g / 1cg = 0.25 g

Here we have converted our number from cg to grams. We can use another conversion of grams to hg to complete the conversion.

0.25 g · 1 hg / 10² g = 0.0025 hg

Therefore, the first conversion we used was d) 10⁻² g / 1 cg.