Question

complete the following addition using significant figures. 5.55555 x 10^5 μg + 5.55 x 10^5 μg = what is the final answer using significant figures? 1.111 x 10^6 μg 1.11 x 10^6 μg 1.1106 x 10^6 μg 1.1 x 10^6 μg

Explanation:

Step1: Add the numbers

First, add the coefficients since the exponents are the same. $5.55555+5.55 = 11.10555$.

Step2: Express in scientific - notation

The sum $11.10555\times10^{5}\ \mu g$ can be rewritten as $1.110555\times 10^{6}\ \mu g$.

Step3: Apply significant - figure rules

The number $5.55\times 10^{5}$ has three significant figures. When adding, we round the result to the same number of decimal places as the number with the least number of decimal places in the values being added. So, $1.110555\times 10^{6}\ \mu g$ rounded to three significant figures is $1.11\times 10^{6}\ \mu g$.

Answer:

B. $1.11\times 10^{6}\ \mu g$