College

Select the correct answer.

What is the solution to the problem expressed to the correct number of significant figures? [tex]\frac{12.0}{7.11}[/tex]

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

Answer :

We are given the division

[tex]$$
\frac{12.0}{7.11}\,.
$$[/tex]

Both numbers have three significant figures, so our final answer should also be given to three significant figures.

1. First, perform the division:

[tex]$$
\frac{12.0}{7.11} \approx 1.68776\,.
$$[/tex]

2. Now, we round this result to three significant figures. Since the integer part "1" counts as one significant figure, we require two digits after the decimal point.

3. Rounding [tex]$1.68776$[/tex] to two decimal places gives

[tex]$$
1.69\,.
$$[/tex]

Thus, the correct answer is [tex]$\boxed{1.69}$[/tex].