If a flea weights 0.103 cg what is it’s weight in nanograms?

Feb 22, 2018

The flea weighs 1030000 nanograms.

Explanation:

To understand how to apply this conversion, you have to understand their magnitude in comparison to a gram.

A centigram is $1 \cdot {10}^{-} 2$ grams, whereas a nanogram is $1 \cdot {10}^{-} 9$grams. If you divide a centigram by a nanogram, you get the number of nanograms in one centigram and the conversion factor. You can do this because you converted both into the same units: grams.

$\frac{1 \cdot {10}^{-} 2}{1 \cdot {10}^{-} 9}$ equals $1 \cdot {10}^{7}$ so there are $1 \cdot {10}^{7}$ nanograms in one centigram.

To find the number of nanograms in a certain amount of centigrams, you multiple the amount of centigrams by $1 \cdot {10}^{7}$.

Hence, .103cg equals 1030000 ng because $.103 \cdot \left(1 \cdot {10}^{7}\right)$ equals 1030000.