Of course! Let's solve the given expression step by step, adhering to the order of operations (PEMDAS/BODMAS):
The expression is:
[tex]\[ 4 + 2 \times 6 \div 3 - 5 \][/tex]
1. Multiplication and Division:
- According to the order of operations, we first address any multiplication or division operations from left to right.
In our expression, we have:
[tex]\[ 2 \times 6 \][/tex]
When we perform this multiplication, we get:
[tex]\[ 2 \times 6 = 12 \][/tex]
Now our expression updates to:
[tex]\[ 4 + 12 \div 3 - 5 \][/tex]
Next, we perform the division:
[tex]\[ 12 \div 3 \][/tex]
When we perform this division, we get:
[tex]\[ 12 \div 3 = 4 \][/tex]
Now our expression updates to:
[tex]\[ 4 + 4 - 5 \][/tex]
2. Addition and Subtraction:
- After performing multiplication and division, we proceed with addition and subtraction from left to right.
First, we perform the addition:
[tex]\[ 4 + 4 \][/tex]
When we perform this addition, we get:
[tex]\[ 4 + 4 = 8 \][/tex]
Now our expression updates to:
[tex]\[ 8 - 5 \][/tex]
Next, we perform the subtraction:
[tex]\[ 8 - 5 \][/tex]
When we perform this subtraction, we get:
[tex]\[ 8 - 5 = 3 \][/tex]
So, the final result of the expression
[tex]\[ 4 + 2 \times 6 \div 3 - 5 \][/tex]
is
[tex]\[ \boxed{3.0} \][/tex]
