Let's analyze the prices:
- The large flat-screen television costs [tex]$2,109.
- The smaller television costs $[/tex]1,987.
We need to understand how the value of the digit '1' in the first price ([tex]$2,109) relates to the value of '1' in the second price ($[/tex]1,987).
### Step-by-Step Solution:
1. Identify the Position of the Digit '1':
- In [tex]$2,109, the digit '1' is in the hundreds place.
- In $[/tex]1,987, the digit '1' is in the thousands place.
2. Determine the Values of the Digit '1':
- In [tex]$2,109:
- The '1' is in the hundreds place, which means it represents \(1 \times 100 = 100\).
- In $[/tex]1,987:
- The '1' is in the thousands place, which means it represents [tex]\(1 \times 1,000 = 1,000\)[/tex].
3. Compare the Values:
- The '1' in [tex]$2,109 represents \(100\).
- The '1' in $[/tex]1,987 represents [tex]\(1,000\)[/tex].
4. Determine the Relationship Between the Two Values:
- The '1' in [tex]$1,987 (1,000) is 10 times larger than the '1' in $[/tex]2,109 (100).
Given the comparison, the correct relationship is that the value of '1' in [tex]$1,987 is 10 times the value of '1' in $[/tex]2,109. Hence, the correct answer is:
B It represents 10 times the value.
