When rounding to the tenths place, which of the following numbers rounds to 87.5
87.459 rounds to 87.5 when rounded to the tenths place.
To round a number to the tenths place, you look at the hundredths digit. If it is 5 or greater, you round up the tenths digit; if it is less than 5, you leave the tenths digit unchanged. In the case of 87.459, the hundredths digit is 5, which rounds the tenths digit of 87.4 up to 87.5.
The number 88 has no decimal places, so when considering rounding to the tenths place, it is equivalent to 88.0. Rounding does not change the value, and therefore it rounds to 88.0, not 87.5.
When rounding 87.56 to the tenths place, the hundredths digit is 6, which is greater than 5. This means you round up from 87.5 to 87.6, thus it does not round to 87.5.
The number 87.459 rounds to 87.5 because the hundredths digit is 5, which prompts an increase in the tenths digit from 4 to 5. This aligns correctly with the requirement for rounding to the tenths place.
When rounding 87.05 to the tenths place, the hundredths digit is 5. This means you round up the tenths digit of 0 to 1, resulting in a rounded value of 87.1, which does not equal 87.5.
In rounding to the tenths place, 87.459 is the only number among the choices that correctly rounds to 87.5, as it meets the rounding criteria with its hundredths digit influencing the tenths digit appropriately. The other numbers either round to a higher value or do not meet the required criteria for rounding down to 87.5.
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