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**Here's how to round off 10766 to the nearest 5:**

  1. **Locate the units digit:** In 10766, the units digit is 6.

  2. **Check its proximity to 5:** Since 6 is closer to 5 than 10, we'll round down.

  3. **Change the units digit to 5:** Replace the 6 with 5, keeping all other digits unchanged.

Therefore, 10766 rounded to the nearest 5 is **10765**.

Key points to remember:

  • **Rounding down:** If the units digit is 0, 1, 2, 3, or 4, round down to the nearest multiple of 5.

  • **Rounding up:** If the units digit is 5, 6, 7, 8, or 9, round up to the nearest multiple of 5.

Additional tips:

  • Visualize a number line: Imagine a number line with multiples of 5 marked. This can help you visualize the rounding process.

  • Consider halfway points: If the units digit is exactly 5, you can either round up or round down, depending on the convention or preference.

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