Which of the following decimals is the greatest?

Options

A. `0.182`
B. `0.0925 `
C. `0.29 `
D. `0.038 `

Answer

To determine which of the following decimals is the greatest, we will compare the given decimal numbers step by step. The decimals provided are:

1. 0.182
2. 0.0925
3. 0.29
4. 0.038

### Step 1: Align the Decimals
To compare these decimals effectively, we can align them by adding zeros to make them all have the same number of decimal places. The maximum number of decimal places in the given numbers is 4. So we will convert them as follows:

- 0.182 becomes 0.1820
- 0.0925 stays as 0.0925
- 0.29 becomes 0.2900
- 0.038 becomes 0.0380

### Step 2: Compare the Decimals
Now, we can compare the decimals column by column from left to right:

- **First digit after the decimal:**
- 0.1820 → 1
- 0.0925 → 0
- 0.2900 → 2
- 0.0380 → 0

The greatest first digit is 2 from 0.2900.

### Step 3: Conclusion
Since 0.2900 has the highest first digit (2), we can conclude that **0.29 is the greatest decimal among the options provided**.

### Final Answer
The greatest decimal is **0.29**.

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