NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Multiple Choice Questions

Question 11

1. Write the number clearly:
   (0.7499)
2. Write it up to four decimal places:
   tenths (= 7), hundredths (= 4), thousandths (= 9), ten-thousandths (= 9).
3. Compare (0.7499) with (0.75).
   Write (0.75) as (0.7500) for easy comparison.
   At the hundredths place: (4 < 5).
   So, (0.7499 < 0.75).
4. Compare (0.7499) with (0.749).
   Write (0.749) as (0.7490).
   At the ten-thousandths place: (9 > 0).
   So, (0.7499 > 0.749).
5. Therefore, the number lies strictly between:
   (0.749 quad ext{and} quad 0.75).
6. Check the options:
   Option C says “(0.749) and (0.75)”.
   This matches our result exactly.

Answer: Option C — (0.749) and (0.75).