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All questions of Place Value and Rounding for Class 8 Exam

What is 9.825 rounded to 2 decimal places?
  • a)
    9.8
  • b)
    9.82
  • c)
    9.83
  • d)
    9.9
Correct answer is option 'C'. Can you explain this answer?

Mansi Sengupta answered
Understanding Rounding Numbers
Rounding numbers is a method of simplifying a number while retaining its value close to the original. In this case, we are rounding the number 9.825 to two decimal places.
Steps to Round 9.825
1. Identify the Decimal Places
- The number 9.825 has three decimal places: 8, 2, and 5.
2. Locate the Second Decimal Place
- The second decimal place in 9.825 is the number 2.
3. Look at the Next Decimal Place
- The next decimal place (third place) is 5.
4. Apply Rounding Rules
- If the digit in the third decimal place is 5 or greater, we increase the second decimal place by 1.
- If it is less than 5, we keep the second decimal place unchanged.
5. Make the Decision
- In this case, since the third decimal place is 5, we add 1 to the second decimal place (2 + 1 = 3).
6. Final Rounded Number
- Therefore, rounding 9.825 to two decimal places gives us 9.83.
Conclusion
The correct answer is option 'C': 9.83. This process ensures that we accurately round numbers while following standard rounding conventions.

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