Let's address each of the statements one by one:
### Statement A
4,598 rounded off to the nearest thousand is 5,000.
To round the number 4,598 to the nearest thousand, we look at the hundreds digit, which is 5. According to rounding rules, if the hundreds digit is 5 or greater, we round up. Therefore:
- The hundreds digit of 4,598 is 5.
- As the rule suggests, we round up the thousands place by one.
Thus, 4,598 rounded to the nearest thousand is 5,000. Hence, this statement is True.
### Statement B
Any number between 7,000 and 7,499 rounded off to the nearest thousand is 8,000.
The given range is 7,000 to 7,499. To round a number to the nearest thousand, we look at the hundreds digit. For numbers in this range:
- If the hundreds digit is less than 5, we round down.
- If the hundreds digit is 5 or greater, we round up.
For any number between 7,000 and 7,499, the hundreds digit is less than 5, so we round down to 7,000.
Therefore, any number between 7,000 and 7,499 rounded to the nearest thousand is 7,000, not 8,000.
Hence, this statement is False.
To summarize:
A. True
B. False
