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Multiply : 0.023xx65...

Multiply :
`0.023xx65`

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To solve the multiplication of \( 0.023 \times 65 \), follow these steps: ### Step-by-Step Solution: 1. **Ignore the Decimal Point**: First, we will ignore the decimal point in \( 0.023 \) and treat it as \( 23 \) for the multiplication. **Hint**: When multiplying decimals, you can simplify the process by temporarily ignoring the decimal. 2. **Multiply the Whole Numbers**: Now, we multiply \( 23 \) by \( 65 \). \[ 23 \times 65 \] To do this, we can break it down: - \( 23 \times 5 = 115 \) - \( 23 \times 60 = 1380 \) (since \( 60 = 6 \times 10 \)) - Now, add these two results together: \[ 115 + 1380 = 1495 \] **Hint**: Break down the multiplication into smaller parts to make it easier. 3. **Count the Decimal Places**: Now, we need to determine where to place the decimal point in our result \( 1495 \). The original number \( 0.023 \) has 3 decimal places (0.023 has three digits after the decimal point). **Hint**: Count the number of digits after the decimal in the original decimal number. 4. **Place the Decimal Point**: Since \( 0.023 \) has 3 decimal places, we will place the decimal point in \( 1495 \) to get \( 2.495 \). This is done by moving the decimal point three places to the left. **Hint**: When adjusting for decimal places, move the decimal point to the left for each decimal place in the original number. 5. **Final Answer**: Therefore, the final answer to \( 0.023 \times 65 \) is: \[ \boxed{2.495} \]
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