what answer should be reported, with the correct number of significant figures, for the following…

Question 1

Explanation:

Step1: Calculate the sum in the numerator

$249.362 + 41=290.362$

Step2: Perform the division

$\frac{290.362}{63.498}\approx4.57277$

Step3: Determine significant - figures

The least number of significant figures in the values used in the calculation ($249.362$ has 6 significant figures, $41$ has 2 significant figures, and $63.498$ has 5 significant figures) is 2. So, we round the result to 2 significant figures. Rounding $4.57277$ to 2 significant figures gives $4.6$.

Answer:

4.6

Question 2

Explanation:

First, round the coefficient $25.6623$ to four significant figures. Rounding $25.6623$ to four significant figures gives $25.66$. Then, express it in standard exponential notation. The original number is $25.6623\times 10^{5}$. When we round the coefficient and keep the scientific - notation form, we get $2.566\times 10^{6}$ (since $25.66 = 2.566\times10^{1}$ and when multiplied by $10^{5}$, we use the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, so $2.566\times10^{1}\times10^{5}=2.566\times 10^{6}$).

Answer:

$2.566\times 10^{6}$