Find the product :
`45.12 xx 3.5`

Answer

To find the product of 45.12 and 3.5, we can follow these steps:

### Step 1: Remove the decimal points
First, we will express both numbers without their decimal points:
- For 45.12, we can write it as \( 4512 \div 100 \) because there are two digits after the decimal point.
- For 3.5, we can write it as \( 35 \div 10 \) because there is one digit after the decimal point.

### Step 2: Rewrite the multiplication
Now, we can rewrite the multiplication as:
\[ 45.12 \times 3.5 = \left( \frac{4512}{100} \right) \times \left( \frac{35}{10} \right) \]

### Step 3: Multiply the numerators and denominators
Next, we will multiply the numerators together and the denominators together:
\[ = \frac{4512 \times 35}{100 \times 10} \]
Calculating the denominator:
\[ 100 \times 10 = 1000 \]
Now, we need to calculate the numerator:
\[ 4512 \times 35 \]
Calculating \( 4512 \times 35 \):
\[ 4512 \times 35 = 157920 \]
So we have:
\[ = \frac{157920}{1000} \]

### Step 4: Simplify the fraction
Now we can simplify the fraction:
\[ = \frac{157920}{1000} \]

### Step 5: Place the decimal point
To convert this to decimal form, we need to move the decimal point in 157920 two places to the left (because of the two zeros in 1000):
\[ = 157.92 \]

### Final Answer
Thus, the product of \( 45.12 \) and \( 3.5 \) is:
\[ \boxed{157.92} \]

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