Sure! Let's solve the mathematical expression step by step according to the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and then Addition and Subtraction (from left to right)):
The expression given is:
[tex]\[ 1 + 2 \times 3 - 4 + 5 \][/tex]
1. Multiplication first:
[tex]\[ 2 \times 3 = 6 \][/tex]
So, the expression simplifies to:
[tex]\[ 1 + 6 - 4 + 5 \][/tex]
2. Next, we perform Addition and Subtraction from left to right:
First addition:
[tex]\[ 1 + 6 = 7 \][/tex]
Then the subtraction:
[tex]\[ 7 - 4 = 3 \][/tex]
Finally, the last addition:
[tex]\[ 3 + 5 = 8 \][/tex]
Therefore, the result of the expression [tex]\( 1 + 2 \times 3 - 4 + 5 \)[/tex] is:
[tex]\[ \boxed{8} \][/tex]
