Answer :
Certainly! Let's solve the problem step-by-step.
Carlos found that the length of the diagonal of his laptop monitor is [tex]\(\sqrt{290}\)[/tex]. We are asked to determine the size of the monitor when this length is rounded to the nearest whole inch.
1. Understand the Problem: We know the diagonal of the monitor is [tex]\(\sqrt{290}\)[/tex]. Our goal is to find out what this length rounds to when expressed as a whole number.
2. Calculate [tex]\(\sqrt{290}\)[/tex]:
- The square root of 290 is approximately 17.03. This is because the square root function gives us the length of the hypotenuse in a right-angled triangle, in this case, the diagonal of the rectangle representing the laptop’s screen.
3. Round the Result:
- With [tex]\(\sqrt{290} \approx 17.03\)[/tex], we need to round this number to the nearest whole number. Since 17.03 is closer to 17 than to 18, we round down to 17.
4. Determine the Rounded Size:
- After rounding, the length of the diagonal is 17 inches.
Thus, the size of the monitor, as measured by the diagonal to the nearest whole inch, is 17 inches.
Carlos found that the length of the diagonal of his laptop monitor is [tex]\(\sqrt{290}\)[/tex]. We are asked to determine the size of the monitor when this length is rounded to the nearest whole inch.
1. Understand the Problem: We know the diagonal of the monitor is [tex]\(\sqrt{290}\)[/tex]. Our goal is to find out what this length rounds to when expressed as a whole number.
2. Calculate [tex]\(\sqrt{290}\)[/tex]:
- The square root of 290 is approximately 17.03. This is because the square root function gives us the length of the hypotenuse in a right-angled triangle, in this case, the diagonal of the rectangle representing the laptop’s screen.
3. Round the Result:
- With [tex]\(\sqrt{290} \approx 17.03\)[/tex], we need to round this number to the nearest whole number. Since 17.03 is closer to 17 than to 18, we round down to 17.
4. Determine the Rounded Size:
- After rounding, the length of the diagonal is 17 inches.
Thus, the size of the monitor, as measured by the diagonal to the nearest whole inch, is 17 inches.
