Write the following four numbers in descending order :
I. 4203567
II. 4203657
III. 4203756
IV. 4203675

Question

Write the following four numbers in descending order :
I.   4203567
II.  4203657
III. 4203756
IV. 4203675

Accepted Answer

To determine the correct order of the numbers in descending order, we need to compare each number digit by digit from left to right. The goal is to arrange the numbers from the largest to the smallest.

Let's analyze the numbers:

1. **4203567**
2. **4203657**
3. **4203756**
4. **4203675**

Starting with the first three digits, all numbers are the same: 4203. Therefore, we need to compare the numbers starting from the fourth digit:

- **4203567**: The fourth digit is 5.
- **4203657**: The fourth digit is 6.
- **4203756**: The fourth digit is 7.
- **4203675**: The fourth digit is 6.

From the fourth digit, we can see that the number with the largest fourth digit is **4203756** (digit 7), so this number is the largest.

Next, we compare the numbers with the fourth digit as 6:

- **4203657**: The fifth digit is 5.
- **4203675**: The fifth digit is 7.

Since 7 is greater than 5, **4203675** is larger than **4203657**.

Finally, the number with the fourth digit as 5 is **4203567**, which is the smallest.

Thus, the descending order of the numbers is:

1. **4203756** (III)
2. **4203675** (IV)
3. **4203657** (II)
4. **4203567** (I)

Therefore, the correct order is III, IV, II, I, which corresponds to Option 2.

### Explanation of Incorrect Options:

- **Option 1 (I, II, III, IV)**: This option incorrectly places the numbers in ascending order rather than descending order.
  
- **Option 3 (I, II, IV, III)**: This option incorrectly places the smallest number first and the largest number last, which is the opposite of descending order.

- **Option 4 (III, II, IV, I)**: This option incorrectly places the numbers **4203657** and **4203675** in the wrong order, as it should be IV before II.

By following the logical comparison of each digit, Option 2 is confirmed as the correct answer, as it accurately reflects the descending order of the numbers.