The numbers given are 326,345 and 6,266,000 with the digits 3 and 2 underlined, respectively. Let's round these numbers to the place value of the underlined digits.

1. Number: 326,345

• Underlined digit: 3
• Place value: Ten thousands
• Digit to the right: 2 (in the thousands place)

Since 2 is less than 5, the underlined digit 3 remains the same.

• Rounded number: 320,000

2. Number: 6,266,000

• Underlined digit: 2
• Place value: Hundred thousands
• Digit to the right: 6 (in the ten thousands place)

Since 6 is 5 or more, the underlined digit 2 is rounded up to 3.

• Rounded number: 6,300,000

Would you like more details or have any further questions?

Here are some related questions to explore:

1. How would rounding 326,345 to the nearest thousand change the result?
2. What is the effect of rounding a number multiple times?
3. Can you round the number 6,266,000 to the nearest million?
4. What is the importance of rounding in financial calculations?
5. How does the rounding rule apply when the digit to the right is exactly 5?
6. How would you round 326,345 to the nearest hundred?
7. Why do we round numbers instead of using the exact values in calculations?
8. Can rounding lead to significant errors in scientific measurements?

Tip: When rounding, always consider how the rounding might impact the accuracy of your overall calculations, especially in precise contexts like engineering or finance.