Sure! I’ll walk you through the problem step-by-step, explaining the order of operations as we go. The problem given is:
[tex]\[ 5 \times (8 - 4) \div 4 - 2 \][/tex]
To solve this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition, and Subtraction (from left to right)).
Let’s break it down step-by-step:
1. Parentheses: Evaluate the expression inside the parentheses first.
[tex]\[ 8 - 4 = 4 \][/tex]
Now our expression looks like:
[tex]\[ 5 \times 4 \div 4 - 2 \][/tex]
2. Multiplication and Division: Next, we deal with multiplication and division, from left to right.
- First, we multiply 5 by 4:
[tex]\[ 5 \times 4 = 20 \][/tex]
Now our expression looks like:
[tex]\[ 20 \div 4 - 2 \][/tex]
- Next, we divide 20 by 4:
[tex]\[ 20 \div 4 = 5 \][/tex]
Now our expression looks like:
[tex]\[ 5 - 2 \][/tex]
3. Subtraction: Finally, we perform the subtraction.
[tex]\[ 5 - 2 = 3 \][/tex]
Therefore, the evaluated result of the expression [tex]\( 5 \times (8 - 4) \div 4 - 2 \)[/tex] is:
[tex]\[ 3.0 \][/tex]
