Emma measured the height of her laptop screen. She reported the height as 8 inches, accurate to the nearest inch. The actual height of the screen must be:
Emma reported the height as 8 inches, accurate to the nearest inch, meaning the actual height must be at least 7.5 inches and less than 8.5 inches.
When a measurement is rounded to the nearest inch, it indicates that the true value could fall within a range around that rounded figure. In this case, if Emma's laptop height is reported as 8 inches, the actual height must be no less than 7.5 inches and no more than 8.5 inches.
This option correctly identifies the range of possible actual heights that would round to 8 inches. Since rounding to the nearest inch means any value from 7.5 inches up to, but not including, 8.5 inches can be reported as 8 inches, this is the correct choice.
This option suggests a very narrow range that would only include values extremely close to 8 inches. However, this does not account for the entire range of values that would round to 8 inches, thus it is incorrect.
Similar to option B, this choice is excessively restrictive and only allows for values that are almost exactly 8 inches. It fails to encompass the wider range of possible actual heights that could still round to 8 inches, making it incorrect.
This option incorrectly implies that the actual height must be 8 inches or more. This disregards the lower end of the range (7.5 inches) that could also round to 8 inches, so it is not correct.
This choice suggests that the actual height must be precisely 8 inches, which is too limiting. As established, the height could be anywhere within the range from 7.5 inches to just under 8.5 inches, so this is not accurate.
Emma's measurement of her laptop screen height as 8 inches, rounded to the nearest inch, indicates a range of actual heights from 7.5 inches to less than 8.5 inches. Choices B, C, D, and E do not accurately represent this range, making A the only valid option. Understanding how rounding works is crucial in interpreting measurements correctly.
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