To determine the value of the expression
[tex]\[
(8 \cdot 2) \div 4 - (27 \div 9)
\][/tex]
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)).
1. First, compute [tex]\(8 \cdot 2\)[/tex].
[tex]\[
8 \cdot 2 = 16
\][/tex]
2. Next, divide the result by 4.
[tex]\[
\frac{16}{4} = 4.0
\][/tex]
3. Then, compute [tex]\(27 \div 9\)[/tex].
[tex]\[
27 \div 9 = 3.0
\][/tex]
4. Finally, subtract the result of [tex]\(27 \div 9\)[/tex] from [tex]\(\frac{16}{4}\)[/tex]:
[tex]\[
4.0 - 3.0 = 1.0
\][/tex]
So, the value of the expression
[tex]\[
(8 \cdot 2) \div 4 - (27 \div 9)
\][/tex]
is
[tex]\[
\boxed{1.0}
\][/tex]
