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Rounding a number to the nearest 100 is similar to rounding to the nearest 10, but this time you focus on the hundreds place and the tens place. This method is used to simplify numbers to the closest hundred, which is particularly useful for estimation or when precise values are not required. Here’s a detailed guide with examples:

Step-by-Step Guide:

  1. Identify the Hundreds and Tens Place: In any number, the second digit from the right is the ‘tens’ place, and the third digit from the right is the ‘hundreds’ place. For example, in the number 372, 7 is in the tens place, and 3 is in the hundreds place.
  2. Look at the Tens Place: Focus on the digit in the tens place to decide how to round the number.
  3. Rules for Rounding:
    • If the tens place is 5 or higher (5, 6, 7, 8, or 9), round up. Add one to the hundreds place and change both the tens and ones places to zero.
    • If the tens place is 4 or lower (4, 3, 2, 1, or 0), round down. Keep the hundreds place the same and change both the tens and ones places to zero.

Examples:

  1. Rounding 372 to the Nearest 100:
    • The tens digit is 7, which is 5 or higher.
    • So, round up: 372 becomes 400.
  2. Rounding 449 to the Nearest 100:
    • The tens digit is 4, which is less than 5.
    • So, round down: 449 becomes 400.
  3. Rounding 528 to the Nearest 100:
    • The tens digit is 2, which is less than 5.
    • So, round down: 528 becomes 500.
  4. Rounding 600 to the Nearest 100:
    • The tens digit is 0. Numbers ending in 00 are already rounded to the nearest 100.
    • So, 600 stays as 600.
  5. Rounding 999 to the Nearest 100:
    • The tens digit is 9, which is higher than 5.
    • So, round up: 999 becomes 1000.

Special Considerations:

  • Rounding Up May Change the Hundreds Digit: For example, rounding 865 to the nearest 100 results in 900. The 8 in the hundreds place becomes a 9.
  • Numbers Ending in 50: Always round up. For instance, 250 rounded to the nearest 100 is 300.
  • Dealing with Larger Numbers: The same principle applies. To round 1,234 to the nearest 100, look at the 3 in the tens place. Since it’s less than 5, round down to 1,200.

Conclusion

Rounding to the nearest 100 is a valuable skill for quickly estimating and simplifying numbers. It’s widely used in everyday life, finance, and other fields. Remember the basic rule: If the tens digit is 5 or more, round up; if it’s 4 or less, round down. This simple method can greatly aid in making quick calculations and estimations.

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