Round to the Nearest 10

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Rounding a number to the nearest 10 is a process of simplifying a number to make it easier to work with, especially for estimation purposes. When you round a number to the nearest 10, you’re finding the closest multiple of 10 to that number. Here’s a detailed explanation of how to do it, with examples:

Step-by-Step Guide:

  1. Identify the Tens and Ones Place: In any number, the rightmost digit is the ‘ones’ place, and the digit to its left is the ‘tens’ place. For example, in the number 47, 7 is in the ones place, and 4 is in the tens place.
  2. Look at the Ones Place: Check the digit in the ones place to decide how to round the number.
  3. Rules for Rounding:
    • If the ones place is 5 or higher (5, 6, 7, 8, or 9), round up. This means you add one to the tens place and change the ones place to zero.
    • If the ones place is 4 or lower (4, 3, 2, 1, or 0), round down. This means you keep the tens place the same and change the ones place to zero.

Examples:

  1. Rounding 47 to the Nearest 10:
    • The ones digit is 7, which is 5 or higher.
    • So, we round up: 47 becomes 50.
  2. Rounding 32 to the Nearest 10:
    • The ones digit is 2, which is less than 5.
    • So, we round down: 32 becomes 30.
  3. Rounding 85 to the Nearest 10:
    • The ones digit is 5, which is 5 or higher.
    • So, we round up: 85 becomes 90.
  4. Rounding 20 to the Nearest 10:
    • The ones digit is 0. Numbers ending in 0 are already rounded to the nearest 10.
    • So, 20 stays as 20.
  5. Rounding 99 to the Nearest 10:
    • The ones digit is 9, which is higher than 5.
    • So, we round up: 99 becomes 100.

Special Considerations:

  • Rounding Up Changes the Tens Digit: When rounding up, the tens digit increases by one. For example, rounding 68 to the nearest 10 gives us 70. The 6 in the tens place becomes a 7.
  • Numbers Ending in 5: Always round up. For example, 35 rounded to the nearest 10 is 40.
  • Dealing with Larger Numbers: The same principle applies. For instance, to round 273 to the nearest 10, look at the 3 in the ones place. Since it’s less than 5, round down to 270.

Conclusion

Rounding numbers to the nearest 10 helps simplify calculations and is a basic yet essential skill in mathematics. It’s particularly useful in estimating sums, differences, and in everyday situations where exact figures are not necessary. Remember, the key is to look at the ones place and apply the rounding rule: 5 or above, give it a shove (round up); 4 or below, let it go (round down).

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