To solve the expression [tex]\( 4 \times (10 + 5) \)[/tex] using the Distributive Property, follow the steps below:
1. Apply the Distributive Property:
The Distributive Property states that [tex]\( a \times (b + c) = a \times b + a \times c \)[/tex]. In this case, we can distribute the 4 across the sum inside the parentheses.
[tex]\[
4 \times (10 + 5) = 4 \times 10 + 4 \times 5
\][/tex]
2. Calculate each term separately:
- The first term is [tex]\( 4 \times 10 \)[/tex]:
[tex]\[
4 \times 10 = 40
\][/tex]
- The second term is [tex]\( 4 \times 5 \)[/tex]:
[tex]\[
4 \times 5 = 20
\][/tex]
3. Add the results of the two terms:
[tex]\[
40 + 20 = 60
\][/tex]
So, the complete solution shows that [tex]\( 4 \times (10 + 5) = 60 \)[/tex].
Hence, the correct answer is [tex]\( 60 \)[/tex].
