In each of the pairs of decimal numbers, state which number is greater?
`0.5,0.05`

Answer

To determine which of the two decimal numbers, 0.5 and 0.05, is greater, we can follow these steps:

### Step 1: Understand the Decimal Numbers
We have two decimal numbers: 0.5 and 0.05.

### Step 2: Convert Decimals to Fractions
We can convert these decimal numbers into fractions to make comparison easier:
- 0.5 can be written as \( \frac{5}{10} \) (since 0.5 means 5 tenths).
- 0.05 can be written as \( \frac{5}{100} \) (since 0.05 means 5 hundredths).

### Step 3: Simplify the Fractions
Now, let's simplify these fractions:
- \( \frac{5}{10} \) simplifies to \( \frac{1}{2} \) (by dividing both the numerator and the denominator by 5).
- \( \frac{5}{100} \) simplifies to \( \frac{1}{20} \) (by dividing both the numerator and the denominator by 5).

### Step 4: Compare the Denominators
Now we have two simplified fractions: \( \frac{1}{2} \) and \( \frac{1}{20} \).
- When comparing fractions, if the denominators are different, the fraction with the smaller denominator is greater.
- Here, 2 (the denominator of \( \frac{1}{2} \)) is smaller than 20 (the denominator of \( \frac{1}{20} \)).

### Step 5: Conclusion
Since \( \frac{1}{2} \) is greater than \( \frac{1}{20} \), we conclude that:
- **0.5 is greater than 0.05.**

### Summary
Thus, the greater number between 0.5 and 0.05 is **0.5**.

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