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Evaluate: 3.12 xx 12...

Evaluate:
`3.12 xx 12`

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The correct Answer is:
To evaluate \(3.12 \times 12\), we will follow these steps: ### Step 1: Ignore the Decimal First, we will ignore the decimal point in \(3.12\) and treat it as \(312\). This makes the multiplication easier. ### Step 2: Multiply the Whole Numbers Now, we will multiply \(312\) by \(12\). \[ 312 \times 12 \] ### Step 3: Perform the Multiplication We can break down the multiplication as follows: - Multiply \(312\) by \(2\): - \(2 \times 2 = 4\) - \(2 \times 1 = 2\) - \(2 \times 3 = 6\) So, \(312 \times 2 = 624\). - Multiply \(312\) by \(1\) (which is actually \(10\) since we are in the tens place): - \(1 \times 2 = 2\) (but remember to add a zero for the tens place) - \(1 \times 1 = 1\) (again, add a zero) - \(1 \times 3 = 3\) (again, add a zero) So, \(312 \times 10 = 3120\). ### Step 4: Add the Results Now we will add the two results together: \[ 624 + 3120 = 3744 \] ### Step 5: Place the Decimal Point Now we need to place the decimal point back in the result. Since \(3.12\) has two decimal places, we will place the decimal point two places from the right in \(3744\). So, \(3744\) becomes \(37.44\). ### Final Answer Thus, the final answer for \(3.12 \times 12\) is: \[ \boxed{37.44} \] ---
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