The dicimal equivalent of `(1)/(20)` up to three significant figures is

Options

A. `0.0500`
B. `0.05000`
C. `0.0050`
D. `5.0xx10^(-2)`

Explanation

To find the decimal equivalent of \( \frac{1}{20} \) up to three significant figures, we can follow these steps:

### Step 1: Calculate \( \frac{1}{20} \)
First, we need to perform the division:
\[ \frac{1}{20} = 0.05 \]

### Step 2: Identify Significant Figures
Next, we need to identify the significant figures in the result \( 0.05 \). In this case:
- The leading zeros (the zeros before the 5) are not counted as significant figures.
- The digit '5' is the only significant figure in \( 0.05 \).

Thus, \( 0.05 \) has only **one significant figure**.

### Step 3: Adjust to Three Significant Figures
To express this value with three significant figures, we can add trailing zeros after the significant digit:
\[ 0.05 \text{ can be written as } 0.0500 \]

Now, \( 0.0500 \) has three significant figures (the '5' and the two zeros after it).

### Final Answer
The decimal equivalent of \( \frac{1}{20} \) up to three significant figures is:
\[ \boxed{0.0500} \]

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