Evaluate the
`238.06xx7.5`

Options

A. 1785.45
B. 1885.45
C. 1795.45
D. 1355.45

Answer

To evaluate the expression \( 238.06 \times 7.5 \), we will follow these steps:

### Step 1: Ignore the Decimals
First, we will ignore the decimals in the numbers and multiply them as if they were whole numbers. This means we will multiply \( 23806 \) (which is \( 238.06 \) without the decimal) by \( 75 \) (which is \( 7.5 \) without the decimal).

### Step 2: Perform the Multiplication
Now, we will perform the multiplication \( 23806 \times 75 \).

1. Multiply \( 75 \) by \( 6 \):
\[ 75 \times 6 = 450 \]
Write down \( 0 \) and carry over \( 45 \).

2. Multiply \( 75 \) by \( 0 \):
\[ 75 \times 0 = 0 + 45 = 45 \]
Write down \( 5 \) and carry over \( 4 \).

3. Multiply \( 75 \) by \( 8 \):
\[ 75 \times 8 = 600 + 4 = 604 \]
Write down \( 4 \) and carry over \( 60 \).

4. Multiply \( 75 \) by \( 3 \):
\[ 75 \times 3 = 225 + 60 = 285 \]
Write down \( 5 \) and carry over \( 28 \).

5. Multiply \( 75 \) by \( 2 \):
\[ 75 \times 2 = 150 + 28 = 178 \]
Write down \( 178 \).

Now, we will sum these results:
\[ \begin{array}{r} 450 \\ + 0 \\ + 6040 \\ + 28500 \\ + 178000 \\ \hline 1785450 \\ \end{array} \]

### Step 3: Count the Decimal Places
Now, we need to place the decimal point in our result.

- The original number \( 238.06 \) has 2 decimal places.
- The number \( 7.5 \) has 1 decimal place.
- In total, we have \( 2 + 1 = 3 \) decimal places.

### Step 4: Place the Decimal Point
We will place the decimal point in \( 1785450 \) to get \( 1785.450 \).

### Final Answer
Thus, \( 238.06 \times 7.5 = 1785.450 \).

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