Question

Complete the following calculations, and express each result using the proper number of significant figures. Use exponential notation for this problem in the format of 5.6e4.

(8.2156 x 10^2) x (3.12) =
a) 2.56e3
b) 2.57e3
c) 2.58e3
d) 2.59e3

Answer 1

The correct answer is 2.56 x 10^3, which should be expressed in scientific notation with three significant figures as 2.56e3, which matches option a) from the given choices.

Step-by-step explanation:

The subject of the question is mathematics, specifically dealing with scientific notation and significant figures. The multiplication (8.2156 x 10^2) x (3.12) must be calculated while adhering to the rules of significant figures.

Given that 3.12 has three significant figures, the result should also have three significant figures. When these numbers are multiplied, the result is 2562.2912, which should be rounded to three significant figures and expressed in scientific notation.

The correct representation with three significant figures is 2.56 x 10^3. Therefore, the correct answer in exponential form is 2.56e3.