Evaluate the
`3.6xx1.4xx0.7`

Options

A. 3.528
B. 3.529
C. 4.528
D. 3.628

Answer

To evaluate the expression \( 3.6 \times 1.4 \times 0.7 \), we can follow these steps:

### Step 1: Convert decimals to fractions
We can convert each decimal into a fraction to make multiplication easier:
- \( 3.6 = \frac{36}{10} \)
- \( 1.4 = \frac{14}{10} \)
- \( 0.7 = \frac{7}{10} \)

### Step 2: Multiply the fractions
Now we can multiply these fractions together:
\[ 3.6 \times 1.4 \times 0.7 = \frac{36}{10} \times \frac{14}{10} \times \frac{7}{10} \]
This can be simplified to:
\[ \frac{36 \times 14 \times 7}{10 \times 10 \times 10} = \frac{36 \times 14 \times 7}{1000} \]

### Step 3: Calculate \( 14 \times 7 \)
First, we calculate \( 14 \times 7 \):
\[ 14 \times 7 = 98 \]
Now we can substitute this back into our expression:
\[ \frac{36 \times 98}{1000} \]

### Step 4: Calculate \( 36 \times 98 \)
Next, we calculate \( 36 \times 98 \):
\[ 36 \times 98 = 3528 \]
So now we have:
\[ \frac{3528}{1000} \]

### Step 5: Place the decimal
To convert \( \frac{3528}{1000} \) into decimal form, we move the decimal point three places to the left (since the denominator is 1000):
\[ 3528 \div 1000 = 3.528 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{3.528} \]

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