`(3.25 xx 3.20 - 3.20 xx 3.05)/(0.064)` is equal to

Options

A. 1
B. `1/2`
C. `1/10`
D. 10

Answer

To solve the expression \((3.25 \times 3.20 - 3.20 \times 3.05) / 0.064\), we can follow these steps:

### Step 1: Rewrite the expression
We start with the expression:
\[ \frac{3.25 \times 3.20 - 3.20 \times 3.05}{0.064} \]

### Step 2: Factor out the common term
Notice that \(3.20\) is a common factor in the numerator:
\[ = \frac{3.20 \times (3.25 - 3.05)}{0.064} \]

### Step 3: Simplify the subtraction in the parentheses
Now, calculate \(3.25 - 3.05\):
\[ 3.25 - 3.05 = 0.20 \]
So, we can rewrite the expression as:
\[ = \frac{3.20 \times 0.20}{0.064} \]

### Step 4: Convert \(0.064\) to a fraction
Convert \(0.064\) to a fraction:
\[ 0.064 = \frac{64}{1000} \]

### Step 5: Substitute the fraction back into the expression
Now, substitute the fraction back into the expression:
\[ = \frac{3.20 \times 0.20}{\frac{64}{1000}} \]

### Step 6: Simplify the division of fractions
Dividing by a fraction is the same as multiplying by its reciprocal:
\[ = 3.20 \times 0.20 \times \frac{1000}{64} \]

### Step 7: Calculate \(3.20 \times 0.20\)
Now calculate \(3.20 \times 0.20\):
\[ 3.20 \times 0.20 = 0.64 \]

### Step 8: Substitute back into the expression
Now substitute this back into the expression:
\[ = 0.64 \times \frac{1000}{64} \]

### Step 9: Cancel out \(64\)
Now, \(0.64\) and \(64\) can be simplified:
\[ = \frac{0.64 \times 1000}{64} = \frac{1000}{100} = 10 \]

### Final Answer
Thus, the value of the expression is:
\[ \boxed{10} \]