College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Select the correct answer.

What is the solution to the problem expressed to the correct number of significant figures?

[tex]\frac{120}{7.11}=?[/tex]

A. 1.688
B. 1.69
C. 1.7
D. 1.70

Answer :

First, we calculate the quotient:

[tex]$$
\frac{120}{7.11} \approx 16.877637130801688.
$$[/tex]

Next, we determine the number of significant figures to use. The number 120 has 2 significant figures, and 7.11 has 3 significant figures. When performing division, the result should be expressed with the same number of significant figures as the value with the least significant figures. Therefore, we round the result to 2 significant figures.

Rounding 16.877637130801688 to 2 significant figures gives 17. In scientific notation, 17 can be written as

[tex]$$
1.7 \times 10^{1}.
$$[/tex]

Among the available multiple-choice options, the answer that correctly reflects the answer written with 2 significant figures is

[tex]$$\boxed{1.7}.$$[/tex]