Question

express 6.23 x 10^4 decigrams in grams. round your answer to 3 significant figures. if the answer is too large or small put your answer into standard scientific notation.

Explanation:

Step1: Recall the conversion factor

1 decigram (dg) = 0.1 grams (g), so to convert decigrams to grams, we multiply by 0.1 or $10^{- 1}$.

Step2: Perform the conversion

We have $6.23\times10^{4}$ decigrams. Multiply by the conversion factor: $(6.23\times10^{4})\times(10^{-1})$. Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we get $6.23\times10^{4+( - 1)}=6.23\times10^{3}$ grams.

Step3: Check significant - figures

The number $6.23\times10^{3}$ already has 3 significant figures.

Answer:

$6.23\times10^{3}$ g