Sure! Let's solve the expression [tex]\(7 + 10 \times 5 + 10\)[/tex] step by step using the order of operations (often remembered by the acronym PEMDAS/BODMAS).
1. Parentheses/Brackets: There are no parentheses or brackets to simplify here.
2. Exponents/Orders: There are no exponents in this expression either.
3. Multiplication and Division: We need to perform multiplication and division from left to right before addition and subtraction.
[tex]\[
10 \times 5 = 50
\][/tex]
Now the expression becomes:
[tex]\[
7 + 50 + 10
\][/tex]
4. Addition and Subtraction: Perform these operations from left to right.
[tex]\[
7 + 50 = 57
\][/tex]
Then,
[tex]\[
57 + 10 = 67
\][/tex]
So, the result of the expression [tex]\(7 + 10 \times 5 + 10\)[/tex] is [tex]\(67\)[/tex].