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Find the product : 1.1xx0.1xx0.11...

Find the product :
`1.1xx0.1xx0.11`

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The correct Answer is:
To find the product of the numbers 1.1, 0.1, and 0.11, we will follow these steps: ### Step 1: Ignore the decimal points First, we will ignore the decimal points in the numbers to make the multiplication easier. We will convert the numbers as follows: - 1.1 becomes 11 - 0.1 becomes 1 - 0.11 becomes 11 ### Step 2: Multiply the whole numbers Now we will multiply these whole numbers together: \[ 11 \times 1 \times 11 \] ### Step 3: Calculate the product Calculating the product step by step: 1. First, multiply 11 and 1: \[ 11 \times 1 = 11 \] 2. Then, multiply the result by 11: \[ 11 \times 11 = 121 \] ### Step 4: Count the total number of decimal places Next, we need to count the total number of decimal places in the original numbers: - 1.1 has 1 decimal place - 0.1 has 1 decimal place - 0.11 has 2 decimal places Adding these together: \[ 1 + 1 + 2 = 4 \text{ decimal places} \] ### Step 5: Place the decimal point in the product Now we will place the decimal point in the product (121) to account for the 4 decimal places: - Starting from the right of 121, we need to place the decimal point 4 places to the left: \[ 121 \rightarrow 0.0121 \] ### Final Answer Thus, the product of 1.1, 0.1, and 0.11 is: \[ \boxed{0.0121} \] ---
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