Select the appropriate sign:
97,030□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 <.