2. Leann says \( 18 \div 6=3 \), so \( 1.8 \div 0.6=0.3 \) and \( 0.18 \div 0.06=0.03 \). Is Leann correct? Explain how to solve these division problems.
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Beyond the Answer
Leann is making a clever observation about division with decimals! To solve \( 1.8 \div 0.6 \), you can eliminate the decimals by multiplying both numbers by 10, resulting in \( 18 \div 6 \). Since \( 18 \div 6 = 3 \), Leann got it right for the first decimal division! For \( 0.18 \div 0.06 \), multiply both by 100 to make it easier, leading to \( 18 \div 6 \) again, which equals 3. So for both cases, Leann's logic holds up, giving the same quotient. When dividing by decimals, think of them as fractions or shift the decimal points to make calculations simpler! This helps avoid common mistakes like misplacing decimals or forgetting to adjust both numbers equally.
