0.5x0.05 = ?

Options

A. 0.0250
B. 2.5
C. 0.025
D. none of these

Answer

To solve the multiplication of 0.5 and 0.05 step by step, follow these instructions:

### Step 1: Write the multiplication expression
We start with the expression:
\[ 0.5 \times 0.05 \]

### Step 2: Remove the decimals
To make the multiplication easier, we can remove the decimals temporarily. We can do this by converting the decimals into whole numbers.

- 0.5 can be written as 5 (by multiplying by 10).
- 0.05 can be written as 5 (by multiplying by 100).

So, we rewrite the expression as:
\[ 5 \times 5 \]

### Step 3: Perform the multiplication
Now, we multiply the two whole numbers:
\[ 5 \times 5 = 25 \]

### Step 4: Count the decimal places
Next, we need to consider how many decimal places were in the original numbers:
- 0.5 has 1 decimal place.
- 0.05 has 2 decimal places.

In total, we have:
\[ 1 + 2 = 3 \text{ decimal places} \]

### Step 5: Place the decimal in the result
Now, we need to place the decimal point in the result (25) to reflect the 3 decimal places we counted.

To do this, we move the decimal point 3 places to the left:
- Starting with 25, we write it as 25.000.
- Moving the decimal point 3 places to the left gives us 0.025.

### Final Answer
Thus, the final answer is:
\[ 0.5 \times 0.05 = 0.025 \]

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