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Starting with the highest place value column (the one that contains a non-zero digit) that occurs in the numbers, compare place value columns moving right if equal until either all the digits in both numbers have been exhausted (in which case the numbers are equal) or one place value column digit is greater (in which case the number with the greater digit is the greater number). If a place value column is empty in one of the numbers, its value is taken is zero (the digit 0)

For 0.856 and 0.8561 the highest place value column used is the tenths, so comparing 0.856 to 0.8561:

8 = 8, so check hundredths

5 = 5, so check thousandths

6 = 6, so check ten-thousandths

0.856 has a blank ten-thousandths column, so it is taken as 0

0 < 1, so 0.856 < 0.8561

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Q: Is 0.856 greater than 0.8561
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