For every question, four probable answers bear in letters (A), (B), (C) and (D) are given. Only one out of these is correct. You have to choose the orrect answer.
Which of the following decimals are written in decreasing order

Options

A. 12.075, 12.705, 12.750
B. 12.750, 12.705, 12.070
C. 12.075, 12.750, 12.705
D. 12.750, 12.075, 12.705

Answer

To determine which of the given decimals are written in decreasing order, we need to compare the decimals and arrange them from the largest to the smallest. Let's go through the steps:

### Step-by-Step Solution:

1. **List the Decimals**:
We have the following decimals to compare:
- 12.075
- 12.705
- 12.750

2. **Identify the Largest Decimal**:
To find the largest decimal, we compare the whole number parts first (which are all 12 in this case) and then the decimal parts:
- 12.075 has a decimal part of 0.075
- 12.705 has a decimal part of 0.705
- 12.750 has a decimal part of 0.750
The largest decimal is **12.750**.

3. **Identify the Second Largest Decimal**:
Now we compare the remaining decimals:
- Between 12.705 and 12.075, we see that 12.705 has a decimal part of 0.705, which is larger than 0.075.
Therefore, the second largest decimal is **12.705**.

4. **Identify the Smallest Decimal**:
The smallest decimal among the three is **12.075**.

5. **Write in Decreasing Order**:
Now we can write the decimals in decreasing order:
- 12.750
- 12.705
- 12.075

6. **Match with Options**:
Finally, we check the options provided to find which one matches our decreasing order:
- The correct order is 12.750, 12.705, 12.075.

### Conclusion:
The decimals in decreasing order are **12.750, 12.705, 12.075**.