Answer :
To determine the size of Carlos's laptop monitor as measured by the diagonal, we start by considering the given length of the diagonal: [tex]\(\sqrt{280}\)[/tex].
1. Calculate the Diagonal:
- To find [tex]\(\sqrt{280}\)[/tex], you take the square root of 280. This value is approximately 16.733.
2. Round to the Nearest Whole Inch:
- Once you have the approximate length, 16.733, you round it to the nearest whole number. When rounding, you consider the number after the decimal point. Since 0.733 is closer to 1 than it is to 0, you round up.
- Therefore, 16.733 rounds to 17.
3. Final Answer:
- With the diagonal length rounded to the nearest whole inch, the size of the monitor is 17 inches.
So, the answer is 17 inches.
1. Calculate the Diagonal:
- To find [tex]\(\sqrt{280}\)[/tex], you take the square root of 280. This value is approximately 16.733.
2. Round to the Nearest Whole Inch:
- Once you have the approximate length, 16.733, you round it to the nearest whole number. When rounding, you consider the number after the decimal point. Since 0.733 is closer to 1 than it is to 0, you round up.
- Therefore, 16.733 rounds to 17.
3. Final Answer:
- With the diagonal length rounded to the nearest whole inch, the size of the monitor is 17 inches.
So, the answer is 17 inches.