What is the decimal expansion of `(13)/(2 xx 5^(2))` ?

Answer

To find the decimal expansion of \( \frac{13}{2 \times 5^2} \), we can follow these steps:

### Step 1: Simplify the expression
First, we need to simplify the denominator:
\[ 5^2 = 25 \]
So, we can rewrite the expression as:
\[ \frac{13}{2 \times 25} \]

### Step 2: Calculate the denominator
Now, calculate \( 2 \times 25 \):
\[ 2 \times 25 = 50 \]
Thus, the expression becomes:
\[ \frac{13}{50} \]

### Step 3: Convert to decimal
To convert \( \frac{13}{50} \) into a decimal, we can multiply both the numerator and the denominator by 2:
\[ \frac{13 \times 2}{50 \times 2} = \frac{26}{100} \]

### Step 4: Write the decimal form
Now, \( \frac{26}{100} \) can be expressed in decimal form:
\[ \frac{26}{100} = 0.26 \]

### Final Answer
Thus, the decimal expansion of \( \frac{13}{2 \times 5^2} \) is:
\[ \boxed{0.26} \]