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Evaluate the 3.7xx4.5...

Evaluate the
`3.7xx4.5`

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The correct Answer is:
To evaluate \( 3.7 \times 4.5 \), we can follow these steps: ### Step 1: Convert the decimals to fractions We can convert the decimals into fractions to make multiplication easier. - \( 3.7 \) can be expressed as \( \frac{37}{10} \) (since there is one digit after the decimal). - \( 4.5 \) can be expressed as \( \frac{45}{10} \) (for the same reason). ### Step 2: Multiply the fractions Now we can multiply these two fractions: \[ 3.7 \times 4.5 = \frac{37}{10} \times \frac{45}{10} = \frac{37 \times 45}{10 \times 10} = \frac{1665}{100} \] ### Step 3: Perform the multiplication Next, we need to calculate \( 37 \times 45 \): - Break it down: - \( 37 \times 5 = 185 \) - \( 37 \times 40 = 1480 \) - Adding these results together: \[ 185 + 1480 = 1665 \] ### Step 4: Place the decimal point Now, we have \( \frac{1665}{100} \). To convert this back to decimal form, we need to place the decimal point: - Since the denominator is \( 100 \), we move the decimal point two places to the left. - Thus, \( 1665 \) becomes \( 16.65 \). ### Final Answer Therefore, \( 3.7 \times 4.5 = 16.65 \). ---
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