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In 3.093 the digit 3 appears twice. What is the value of the 3 that sits after the decimal point?

Class 6DecimalsDecimals
  • A3
  • B0.3
  • C0.003
  • D0.03

Step-by-Step Solution

Count the places after the point in 3.093: 0 is tenths, 9 is hundredths, 3 is thousandths. So that 3 is worth 0.003 — three thousandths, while the 3 in front of the point is worth 3 whole ones. Stopping the count at hundredths gives the wrong 0.03.
Answer: C) 0.003

Key idea: Place value to the right of the decimal point

To the LEFT of the decimal point: ones, tens, hundreds — each place is **10 times** bigger than the one to its right. To the RIGHT of the decimal point, the same rule continues — each place is **10 times smaller** than the one to its left. So:

- 1st place after the point: tenths (1/10)
- 2nd place: hundredths (1/100)
- 3rd place: thousandths (1/1000)

The decimal .

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