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

Question

Select the appropriate sign:

97,03097,100 97,030\Box97,100

Step-by-Step Solution

To determine the correct relation between the numbers 97,03097,030 and 97,10097,100, 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 97,03097,030 breaks down to 99, 77, 00, 33, and 00. The number 97,10097,100 breaks down to 99, 77, 11, 00, and 00.

Step 2: Start by comparing digits from the left:

  • Thousands place: Both have 9797 in the thousands place, so they are equal in that regard.
  • Hundreds place: The first number has 00, and the second has 11 in the hundreds place.

Step 3: Since 0<10 < 1, we can determine that 97,030<97,10097,030 < 97,100.

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

Answer

<