To find the product of [tex]\(0.3\)[/tex] and [tex]\(0.48\)[/tex], follow these steps:
1. Understanding the Problem: We need to multiply the two decimal numbers [tex]\(0.3\)[/tex] and [tex]\(0.48\)[/tex].
2. Setting Up the Multiplication:
- First, note that [tex]\(0.3\)[/tex] is the same as [tex]\(\frac{3}{10}\)[/tex].
- Similarly, [tex]\(0.48\)[/tex] is the same as [tex]\(\frac{48}{100}\)[/tex].
3. Multiplying the Fractions:
- Multiply the numerators: [tex]\(3 \times 48 = 144\)[/tex].
- Multiply the denominators: [tex]\(10 \times 100 = 1000\)[/tex].
This gives us:
[tex]\[
\frac{3}{10} \times \frac{48}{100} = \frac{144}{1000}
\][/tex]
4. Simplifying the Fraction:
- The fraction [tex]\(\frac{144}{1000}\)[/tex] can be converted back to a decimal by dividing the numerator by the denominator: [tex]\(\frac{144}{1000} = 0.144\)[/tex].
Thus, the product of [tex]\(0.3\)[/tex] and [tex]\(0.48\)[/tex] is [tex]\(0.144\)[/tex].
