Choose the Correct Inequality Sign: 150,800 vs 158,000

To solve this problem, we'll follow these steps:

• Step 1: Identify and compare the relevant place value digits of each number starting from the left.
• Step 2: Decide on the appropriate inequality symbol based on comparison outcomes.

Now, let's work through each step:
Step 1: The problem gives us two numbers, 150,800 and 158,000. We will compare the digits from left to right.

- Start with the hundred thousand digits:
The digit in the hundred thousand place for both numbers is 1, which are equal. So, we continue to the next place.

- Next, compare the ten thousand digits:
150,800 has 5 in the ten thousand place and 158,000 has 5 as well. They are equal, so we move to the next digit.

- Now, compare the thousand digits:
150,800 has 0 in the thousand place, while 158,000 has 8.
Since 0 is less than 8, 150,800 is less than 158,000.

Therefore, the correct sign to use is $<$, indicating that 150,800 is less than 158,000.

The solution to the problem is <.