Fill in the blanks.
`0.023xx0.03 = …`

Options

A. `0.0069`
B. `0.00069`
C. `6.9`
D. none of these

Answer

To solve the problem \(0.023 \times 0.03\), we will follow these steps:

### Step 1: Remove the decimals
First, we will convert the numbers into fractions to make the multiplication easier.
- \(0.023\) can be written as \(\frac{23}{1000}\) (since there are three decimal places).
- \(0.03\) can be written as \(\frac{3}{100}\) (since there are two decimal places).

### Step 2: Multiply the fractions
Now, we multiply the two fractions:
\[ 0.023 \times 0.03 = \frac{23}{1000} \times \frac{3}{100} \]
To multiply fractions, we multiply the numerators and the denominators:
\[ = \frac{23 \times 3}{1000 \times 100} \]
Calculating the numerator:
\[ 23 \times 3 = 69 \]
Calculating the denominator:
\[ 1000 \times 100 = 100000 \]
So, we have:
\[ 0.023 \times 0.03 = \frac{69}{100000} \]

### Step 3: Convert back to decimal form
Now we need to convert \(\frac{69}{100000}\) back to decimal form. This means we need to place the decimal point in the number \(69\) such that there are five digits after the decimal point (because the denominator is \(100000\)):
\[ 69 = 0.00069 \]

### Final Answer
Thus, the final answer is:
\[ 0.023 \times 0.03 = 0.00069 \]

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