We want to round 75.195 to the nearest hundredths (two decimal places).
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Write the number and mark the places:
7 5 . 1 9 5
Ones = 5, Tenths = 1, Hundredths = 9, Thousandths = 5
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For rounding to hundredths, look at the next digit (the thousandths digit).
Thousandths digit = (5)
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Rule: if the next digit is (ge 5), increase the hundredths digit by (1).
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Our hundredths digit is (9). Add one:
(9 + 1 = 10)
This makes a carry: put (0) in the hundredths place and add (1) to the tenths place.
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Tenths digit changes from (1) to:
(1 + 1 = 2)
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Now the number becomes:
75.20
(It’s fine to write the trailing zero to show two decimal places.)
Rounded answer: 75.20