Choose the Correct Sign: Comparing 97,030 and 97,100

To determine the correct relation between the numbers $97,030$ and $97,100$, follow these steps:

• Step 1: Break down each number into its individual digits starting from the left.
• Step 2: Compare the most significant digits. If they are equal, move to the next set of digits.
• Step 3: Identify any difference in value between corresponding digits.

Let's work through this:

Step 1: The number $97,030$ breaks down to $9$, $7$, $0$, $3$, and $0$. The number $97,100$ breaks down to $9$, $7$, $1$, $0$, and $0$.

Step 2: Start by comparing digits from the left:

• Thousands place: Both have $97$ in the thousands place, so they are equal in that regard.
• Hundreds place: The first number has $0$, and the second has $1$ in the hundreds place.

Step 3: Since $0 < 1$, we can determine that $97,030 < 97,100$.

Therefore, the appropriate sign that correctly completes the comparison is $<$.