Of course! Let's evaluate the expression [tex]\(4^2 + 8 \div 2 - 3\)[/tex] using the order of operations, which we often remember using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Exponents: [tex]\(4^2\)[/tex]
[tex]\[
4^2 = 16
\][/tex]
So, the expression now becomes:
[tex]\[
16 + 8 \div 2 - 3
\][/tex]
2. Division: [tex]\(8 \div 2\)[/tex]
[tex]\[
8 \div 2 = 4
\][/tex]
Now, our expression updates to:
[tex]\[
16 + 4 - 3
\][/tex]
3. Addition and Subtraction: We perform these operations from left to right.
- Addition: [tex]\(16 + 4\)[/tex]
[tex]\[
16 + 4 = 20
\][/tex]
- Subtraction: [tex]\(20 - 3\)[/tex]
[tex]\[
20 - 3 = 17
\][/tex]
Thus, the value of the expression [tex]\(4^2 + 8 \div 2 - 3\)[/tex] is [tex]\(17\)[/tex].
