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Answer :
Let's analyze each option to determine in which number the value of one '2' is ten times greater than the other '2':
1. Option A: 202,341
- Positions of '2's: The first '2' is in the 3rd place from the left (hundreds place), and the second '2' is in the 5th place from the left (ten thousands place).
- Positional values:
- The positional value of the first '2' is 100 (hundreds place).
- The positional value of the second '2' is 200,000 (ten thousands place).
- Comparison: 200,000 is not 10 times 100, hence this option doesn’t satisfy the condition.
2. Option B: 220,341
- Positions of '2's: The first '2' is in the 2nd place from the left (ten thousands place), and the second '2' is in the 3rd place from the left (thousands place).
- Positional values:
- The positional value of the first '2' is 20,000 (ten thousands place).
- The positional value of the second '2' is 2,000 (thousands place).
- Comparison: 20,000 is indeed 10 times 2,000. So this option satisfies the condition.
3. Option C: 203,241
- Positions of '2's: The first '2' is in the 2nd place from the left (ten thousands place), and the second '2' is in the 4th place from the left (hundreds place).
- Positional values:
- The positional value of the first '2' is 200,000 (ten thousands place).
- The positional value of the second '2' is 300 (hundreds place).
- Comparison: 200,000 is not 10 times 300, hence this option doesn’t satisfy the condition.
4. Option D: 220,341
- Note: This is a duplicate of option B and has already been evaluated to satisfy the condition.
Therefore, the correct answer is option B: 220,341. The value of the underlined '2' is ten times greater than the other '2' in the number.
1. Option A: 202,341
- Positions of '2's: The first '2' is in the 3rd place from the left (hundreds place), and the second '2' is in the 5th place from the left (ten thousands place).
- Positional values:
- The positional value of the first '2' is 100 (hundreds place).
- The positional value of the second '2' is 200,000 (ten thousands place).
- Comparison: 200,000 is not 10 times 100, hence this option doesn’t satisfy the condition.
2. Option B: 220,341
- Positions of '2's: The first '2' is in the 2nd place from the left (ten thousands place), and the second '2' is in the 3rd place from the left (thousands place).
- Positional values:
- The positional value of the first '2' is 20,000 (ten thousands place).
- The positional value of the second '2' is 2,000 (thousands place).
- Comparison: 20,000 is indeed 10 times 2,000. So this option satisfies the condition.
3. Option C: 203,241
- Positions of '2's: The first '2' is in the 2nd place from the left (ten thousands place), and the second '2' is in the 4th place from the left (hundreds place).
- Positional values:
- The positional value of the first '2' is 200,000 (ten thousands place).
- The positional value of the second '2' is 300 (hundreds place).
- Comparison: 200,000 is not 10 times 300, hence this option doesn’t satisfy the condition.
4. Option D: 220,341
- Note: This is a duplicate of option B and has already been evaluated to satisfy the condition.
Therefore, the correct answer is option B: 220,341. The value of the underlined '2' is ten times greater than the other '2' in the number.
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