The steps you provided for rounding numbers are accurate and straightforward. Here's a clearer breakdown of the process:

Steps in Rounding Numbers:

1. Identify the digit to be rounded: Determine which place value (e.g., tens, hundreds, decimal places) needs rounding.

2. Check the digit to the right:

   • Look at the number directly to the right of the digit you are rounding.

3. Apply rounding rules:

   • Round down: If the digit to the right is 0, 1, 2, 3, or 4, leave the target digit unchanged.
   • Round up: If the digit to the right is 5, 6, 7, 8, or 9, increase the target digit by 1.

4. Turn remaining digits to zero (if rounding a whole number): After rounding, all digits to the right of the rounded position should become zero if you are rounding whole numbers.

Example:

• Rounding 147 to the nearest ten:

  1. Identify the tens place: 4.
  2. Look at the digit to the right (units place): 7.
  3. Since 7 is greater than 5, round up. The 4 becomes a 5.
  4. The result is 150.

• Rounding 4.678 to the nearest hundredth:

  1. Identify the hundredths place: 7.
  2. Look at the digit to the right (thousandths place): 8.
  3. Since 8 is greater than 5, round up. The 7 becomes an 8.
  4. The result is 4.68.

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Would you like a more detailed explanation, or do you have any questions about rounding? Here are five questions to deepen understanding:

1. How does rounding change when dealing with negative numbers?
2. How would you round the number 528 to the nearest hundred?
3. What is the impact of rounding decimals versus whole numbers?
4. What happens if you're rounding a number with repeating decimals?
5. How would you round a number like 3.999 to the nearest whole number?

Tip: Always round carefully, especially in scientific or financial calculations, as small differences can add up over time.