circle the digit in the hundreds place.use this digit to round off to the nearest hundred.

376
415
509
784
852
2094
5342
6918
8776
9539

To circle the digit in the hundreds place, you need to locate the digit that is two places to the left of the decimal point. Here are the numbers with the digit circled:

376 (The digit in the hundreds place is 7)
415 (The digit in the hundreds place is 4)
509 (The digit in the hundreds place is 5)
784 (The digit in the hundreds place is 7)
852 (The digit in the hundreds place is 8)
2094 (The digit in the hundreds place is 2)
5342 (The digit in the hundreds place is 4)
6918 (The digit in the hundreds place is 9)
8776 (The digit in the hundreds place is 7)
9539 (The digit in the hundreds place is 9)

To round off to the nearest hundred using the circled digit, you need to follow these rules:

1. If the digit in the tens place is less than 5, you round down to the nearest hundred.
2. If the digit in the tens place is 5 or greater, you round up to the nearest hundred.

Applying these rules to the circled digits:

376 (The circled digit is 7 and the tens digit is less than 5, so the number rounds down to 300)
415 (The circled digit is 4 and the tens digit is less than 5, so the number rounds down to 400)
509 (The circled digit is 5 and the tens digit is 0, so the number stays the same as 500)
784 (The circled digit is 7 and the tens digit is less than 5, so the number rounds down to 700)
852 (The circled digit is 8 and the tens digit is 5 or greater, so the number rounds up to 900)
2094 (The circled digit is 2 and the tens digit is less than 5, so the number rounds down to 2000)
5342 (The circled digit is 4 and the tens digit is less than 5, so the number rounds down to 5300)
6918 (The circled digit is 9 and the tens digit is 5 or greater, so the number rounds up to 7000)
8776 (The circled digit is 7 and the tens digit is less than 5, so the number rounds down to 8700)
9539 (The circled digit is 9 and the tens digit is 5 or greater, so the number rounds up to 9600)