Answer :
To solve the problem, follow these steps:
1. Write the division as
[tex]$$
\frac{12.0}{7.11}.
$$[/tex]
2. Notice that both numbers, [tex]$12.0$[/tex] and [tex]$7.11$[/tex], are given with three significant figures. Therefore, the final answer must also be expressed with three significant figures.
3. Divide the numbers to get an initial (unrounded) result:
[tex]$$
\frac{12.0}{7.11} \approx 1.6877637.
$$[/tex]
4. Since the quotient is between 1 and 10, having three significant figures means rounding the number to two decimal places. Thus, rounding [tex]$1.6877637$[/tex] gives
[tex]$$
1.69.
$$[/tex]
5. Therefore, the correct answer is [tex]$\boxed{1.69}$[/tex], which corresponds to option B.
1. Write the division as
[tex]$$
\frac{12.0}{7.11}.
$$[/tex]
2. Notice that both numbers, [tex]$12.0$[/tex] and [tex]$7.11$[/tex], are given with three significant figures. Therefore, the final answer must also be expressed with three significant figures.
3. Divide the numbers to get an initial (unrounded) result:
[tex]$$
\frac{12.0}{7.11} \approx 1.6877637.
$$[/tex]
4. Since the quotient is between 1 and 10, having three significant figures means rounding the number to two decimal places. Thus, rounding [tex]$1.6877637$[/tex] gives
[tex]$$
1.69.
$$[/tex]
5. Therefore, the correct answer is [tex]$\boxed{1.69}$[/tex], which corresponds to option B.
