Which of the following numbers is equal to the rounded value of five hundred nine and eighty-five hundredths to its nearest tenth?

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Solution

Express the number name as decimal.
Whole part: Five hundred nine = 509
Fractional part: Eighty-five hundredths = 0.85
Decimal = 509.85
Digit at the tenths place = 8
Digit at the hundredths place = 5
5 = 5
Hence, the decimal must be rounded up by adding 1 to the digit at the tenths place and replacing all digits at smaller places with zero.
Rounded decimal = 509.9
So, 509.85 rounded to the nearest tenth is 509.9.

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