If a new number is formed by interchanging the tens and thousands place digits of 8727, then what is the relation between them ?

Options

A. New number is greater than the original number
B. New number is smaller than the original number
C. New number is equal to the original number
D. Can't be determined

Answer

To solve the problem of finding the relationship between the original number 8727 and the new number formed by interchanging the tens and thousands place digits, follow these steps:

### Step-by-Step Solution:

1. **Identify the Original Number**:
The original number is 8727.

2. **Break Down the Digits**:
- Thousands place: 8
- Hundreds place: 7
- Tens place: 2
- Ones place: 7

3. **Interchange the Tens and Thousands Place**:
- The new number will have the thousands place (8) and the tens place (2) swapped.
- Therefore, the new number will be formed as follows:
- Thousands place: 2 (originally the tens place)
- Hundreds place: 7 (remains the same)
- Tens place: 8 (originally the thousands place)
- Ones place: 7 (remains the same)

4. **Construct the New Number**:
The new number is 2787.

5. **Compare the Two Numbers**:
- Original number: 8727
- New number: 2787

6. **Determine the Relationship**:
- Compare the two numbers: 8727 is greater than 2787.

### Conclusion:
The new number (2787) is smaller than the original number (8727).

### Final Answer:
The new number is smaller than the original number.

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