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Divide : 0.9 div100...

Divide :
`0.9 div100`

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To solve the division of \(0.9\) by \(100\), we can follow these steps: ### Step-by-Step Solution: 1. **Set up the division**: We want to divide \(0.9\) by \(100\). This can be written as: \[ 0.9 \div 100 \] 2. **Convert the decimal for easier division**: Since \(0.9\) is less than \(100\), we can express \(0.9\) as a fraction: \[ 0.9 = \frac{9}{10} \] Thus, we can rewrite the division as: \[ \frac{9}{10} \div 100 \] 3. **Change the division to multiplication**: Dividing by \(100\) is the same as multiplying by its reciprocal, which is \(\frac{1}{100}\): \[ \frac{9}{10} \times \frac{1}{100} \] 4. **Multiply the fractions**: To multiply the fractions, multiply the numerators together and the denominators together: \[ \frac{9 \times 1}{10 \times 100} = \frac{9}{1000} \] 5. **Convert the fraction back to a decimal**: To convert \(\frac{9}{1000}\) to a decimal, we can divide \(9\) by \(1000\) or recognize that \(9\) in the thousandths place is \(0.009\): \[ 0.009 \] ### Final Answer: Thus, \(0.9 \div 100 = 0.009\). ---
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