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Multiply th 0.067 xx 100...

Multiply th
`0.067 xx 100`

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To solve the multiplication of \(0.067 \times 100\), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Decimal Places**: - The number \(0.067\) has three digits after the decimal point. 2. **Convert the Decimal to a Fraction**: - We can express \(0.067\) as \(\frac{67}{1000}\) because moving the decimal three places to the right converts it to a fraction with a denominator of \(1000\). 3. **Set Up the Multiplication**: - Now, we can write the multiplication as: \[ 0.067 \times 100 = \frac{67}{1000} \times 100 \] 4. **Simplify the Multiplication**: - When we multiply \(\frac{67}{1000}\) by \(100\), we can simplify: \[ \frac{67 \times 100}{1000} = \frac{67}{10} \] 5. **Convert Back to Decimal**: - Now, we need to convert \(\frac{67}{10}\) back to decimal form. This means we divide \(67\) by \(10\): \[ 67 \div 10 = 6.7 \] 6. **Final Answer**: - Therefore, the result of \(0.067 \times 100\) is: \[ 6.7 \]
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