Evaluate: $3.6 \times 0.25$
To calculate the product \(3.6 \times 0.25\), we can convert the decimal numbers into fractions. This often makes multiplication more intuitive and easier to manage.
First, we express \(3.6\) as a fraction:
\[3.6 = \frac{36}{10} = \frac{18}{5}\]
Next, we express \(0.25\) as a fraction:
\[0.25 = \frac{25}{100} = \frac{1}{4}\]
Now that we have both numbers in fractional form, we can multiply them:
\[\frac{18}{5} \times \frac{1}{4} = \frac{18 \times 1}{5 \times 4} = \frac{18}{20}\]
To simplify this result, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[\frac{18 \div 2}{20 \div 2} = \frac{9}{10}\]
Finally, we can convert this fraction back into a decimal:
\[\frac{9}{10} = 0.9\]
Therefore, the product of \(3.6\) and \(0.25\) is \(\boxed{0.9}\).
Calculating decimal products is a common task in everyday life, such as when you are shopping and need to calculate a discount. Suppose an item costs \(\$3.60\) and there is a \(\$0.25\) (or \(25\%\)) off coupon. To find out the amount of the discount, you would calculate \(3.6 \times 0.25\), which equals \(\$0.90\). Learning these simple fraction-to-decimal conversion techniques makes mental math faster and more accurate for real-world scenarios.