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Multiply : 1.1 xx 1.01 xx 0.1...

Multiply :
`1.1 xx 1.01 xx 0.1 `

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To solve the multiplication of \(1.1 \times 1.01 \times 0.1\), we can follow these steps: ### Step 1: Convert the decimals to fractions We can express each decimal as a fraction: - \(1.1 = \frac{11}{10}\) - \(1.01 = \frac{101}{100}\) - \(0.1 = \frac{1}{10}\) ### Step 2: Write the multiplication in fraction form Now, we can write the multiplication as: \[ \frac{11}{10} \times \frac{101}{100} \times \frac{1}{10} \] ### Step 3: Multiply the numerators and the denominators Now, we multiply the numerators together and the denominators together: \[ \text{Numerator: } 11 \times 101 \times 1 = 1111 \] \[ \text{Denominator: } 10 \times 100 \times 10 = 10000 \] ### Step 4: Combine the results So, we have: \[ \frac{1111}{10000} \] ### Step 5: Convert the fraction back to decimal To convert \(\frac{1111}{10000}\) back to decimal form, we can divide 1111 by 10000: \[ 1111 \div 10000 = 0.1111 \] ### Final Answer Thus, the result of \(1.1 \times 1.01 \times 0.1\) is: \[ \boxed{0.1111} \]
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