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Answer :
To solve the problem, follow these steps:
1. Write the division:
[tex]$$\frac{12.0}{7.11}.$$[/tex]
2. Compute the quotient. Dividing the numbers gives a value of approximately [tex]$$1.68776\ldots$$[/tex]
3. Determine the number of significant figures to use. Both numbers, [tex]$12.0$[/tex] and [tex]$7.11$[/tex], are given with 3 significant figures. Therefore, the final answer should also be expressed with 3 significant figures.
4. Round the result to 3 significant figures. Looking at the computed value, [tex]$$1.68776\ldots,$$[/tex] the third significant figure is the digit 7 and the next digit is 8, which means the 7 rounds upward. Thus, the rounded result is:
[tex]$$1.69.$$[/tex]
The correct answer is therefore [tex]$\boxed{1.69}$[/tex].
1. Write the division:
[tex]$$\frac{12.0}{7.11}.$$[/tex]
2. Compute the quotient. Dividing the numbers gives a value of approximately [tex]$$1.68776\ldots$$[/tex]
3. Determine the number of significant figures to use. Both numbers, [tex]$12.0$[/tex] and [tex]$7.11$[/tex], are given with 3 significant figures. Therefore, the final answer should also be expressed with 3 significant figures.
4. Round the result to 3 significant figures. Looking at the computed value, [tex]$$1.68776\ldots,$$[/tex] the third significant figure is the digit 7 and the next digit is 8, which means the 7 rounds upward. Thus, the rounded result is:
[tex]$$1.69.$$[/tex]
The correct answer is therefore [tex]$\boxed{1.69}$[/tex].
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