Certainly! Let's solve the expression [tex]\(10 - 3 + 2 \times 4\)[/tex] step-by-step, following the order of operations often remembered by the acronym PEMDAS/BODMAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
1. Identify and perform multiplication first:
The multiplication part of the expression is [tex]\(2 \times 4\)[/tex].
[tex]\[
2 \times 4 = 8
\][/tex]
2. Rewrite the expression with the multiplication result:
Substituting [tex]\(8\)[/tex] in place of [tex]\(2 \times 4\)[/tex], we get:
[tex]\[
10 - 3 + 8
\][/tex]
3. Perform subtraction and addition from left to right:
- First, perform the subtraction:
[tex]\[
10 - 3 = 7
\][/tex]
- Next, add the result to the [tex]\(8\)[/tex]:
[tex]\[
7 + 8 = 15
\][/tex]
So, the final result is:
[tex]\[
15
\][/tex]
Therefore, the answer is [tex]\(15\)[/tex].
