Let’s first round the two given numbers to the nearest hundred:

1. 154:

   • The digit in the tens place is 5, which means we round up.
   • 154 rounds to 200.

2. 145:

   • The digit in the tens place is 4, which means we round down.
   • 145 rounds to 100.

Now, we compare the rounded numbers:

• 200 (rounded from 154)
• 100 (rounded from 145)

So, 200 > 100.

The correct comparison is: $200 > 100$

Would you like more details or have any questions?

Here are some related questions:

1. How do we determine which way to round numbers?
2. What is the rule for rounding numbers if the tens digit is exactly 5?
3. Can you apply rounding to numbers in the thousands?
4. What happens when rounding negative numbers?
5. Why is rounding useful in practical scenarios?

Tip: Always check the digit right after the rounding place to decide whether to round up or down.