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Which decimal is equal to ?

Class 6DecimalsDecimals
  • A0.47
  • B0.407
  • C0.047
  • D0.4007

Step-by-Step Solution

and , so the sum is 0.407. Nothing lands in the hundredths place, so a 0 has to sit there; 0.47 would mean four tenths and seven hundredths instead.
Answer: B) 0.407

Key idea: Decimal ↔ fraction

**Decimal to fraction**: count the decimal places. Put the digits over 10, 100, 1000 accordingly. So 0.7 = 7/10. 0.43 = 43/100. 1.25 = 1 + 25/100 = 1 + 1/4 = 5/4.

**Fraction to decimal**: if the denominator is already 10, 100, 1000, …, just write the numerator with the right number of decimal places. 9/10 = 0.9. 27/100 = 0.27. For other fractions (e.g. 3/4), divide: 3 ÷ 4 = 0.75.

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