Multiply `73.68` by `5.4`

Options

A. `3978.72`
B. `333.872`
C. `397.872`
D. `3.872`

Answer

To multiply `73.68` by `5.4`, we can follow these steps:

### Step 1: Remove the Decimals
First, we need to convert the numbers into whole numbers by removing the decimals.

- For `73.68`, there are 2 digits after the decimal point, so we can multiply it by `100` to convert it into a whole number:
\[ 73.68 \times 100 = 7368 \]

- For `5.4`, there is 1 digit after the decimal point, so we can multiply it by `10` to convert it into a whole number:
\[ 5.4 \times 10 = 54 \]

### Step 2: Multiply the Whole Numbers
Now, we can multiply the whole numbers we obtained:
\[ 7368 \times 54 \]

### Step 3: Perform the Multiplication
Now, let's calculate `7368` multiplied by `54`:
\[ 7368 \times 54 = 397872 \]

### Step 4: Determine the Decimal Places
Next, we need to determine where to place the decimal in the result.

- We initially multiplied `73.68` (which had 2 decimal places) and `5.4` (which had 1 decimal place).
- Therefore, the total number of decimal places in the final answer should be \(2 + 1 = 3\).

### Step 5: Place the Decimal
Now, we take the result `397872` and place the decimal point to have 3 digits after it:
\[ 397872 \rightarrow 397.872 \]

### Final Answer
Thus, the result of multiplying `73.68` by `5.4` is:
\[ \boxed{397.872} \]

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