Let's solve the problem [tex]\(2 \times (15 + 9)\)[/tex] using the Distributive Property step-by-step. The Distributive Property states that [tex]\(a \times (b + c) = (a \times b) + (a \times c)\)[/tex].
1. Identify the values in the expression [tex]\(2 \times (15 + 9)\)[/tex]:
- [tex]\(a = 2\)[/tex]
- [tex]\(b = 15\)[/tex]
- [tex]\(c = 9\)[/tex]
2. Apply the Distributive Property:
[tex]\[
2 \times (15 + 9) = (2 \times 15) + (2 \times 9)
\][/tex]
3. Calculate each part separately:
[tex]\[
2 \times 15 = 30
\][/tex]
[tex]\[
2 \times 9 = 18
\][/tex]
4. Add the results together:
[tex]\[
30 + 18 = 48
\][/tex]
Thus, using the Distributive Property, we find that [tex]\(2 \times (15 + 9) = 48\)[/tex]. Therefore, the correct answer is:
48
