Question

when rounding to the nearest thousand, why does 5,827 round to 6,000?
all numbers that start with 5 should round up to the next thousand.
the 8 in the hundreds place means 5,827 is closer to 6,000 than it is to 5,000.
the 5 in the thousands place means it is in the middle and can go either way.
the 7 in the ones place pushes the number up to 6,000.

Explanation:

When rounding to the nearest thousand, we look at the digit in the hundreds place. If this digit is 5 or greater, we round up the thousands place digit. For 5,827, the hundreds digit is 8, which is greater than 5, so 5,827 is closer to 6,000 than 5,000. The other options are incorrect: not all numbers starting with 5 round up (e.g., 5,100 rounds to 5,000), the thousands digit being 5 does not mean it can round either way, and the ones digit does not determine rounding to the nearest thousand.

Answer:

B. The 8 in the hundreds place means 5,827 is closer to 6,000 than it is to 5,000.