Question

calculate the answers to the appropriate number of sigfigs 43.678×64.10 = a. 2800 b. 2799.7598 c. 2.80×10³ d. 2.800×10³ e. 2799.76

Explanation:

Step1: Calculate the product

$43.678\times64.10 = 2799.7598$

Step2: Determine significant - figures

The number 43.678 has 5 significant figures and 64.10 has 4 significant figures. In multiplication, the result should be reported to the least number of significant figures among the values being multiplied. So, the result should be reported to 4 significant figures.
Rounding 2799.7598 to 4 significant figures gives $2.800\times 10^{3}$.

Answer:

D. $2.800\times 10^{3}$