Question

1. Simplify the following expression showing all steps and explain how the order of operations is applied in each step as the expression is simplified. Be sure to include the rules for addition, subtraction, multiplication, division, and the use of grouping symbols in the explanations of the steps used to simplify the expression.
[(7 + 3) • 5 – 4] ÷ 2 + 2

Answer 1

Use PEMDAS (Parenthesis/groupings, Exponent, Multiplication/Division [which ever comes first], Addition/Subtraction [which ever comes first]) as priority rule. Run the equation always from leftmost to rightmost

[(7 + 3) • 5 – 4] ÷ 2 + 2     ---> our equation
[10 • 5 – 4] ÷ 2  + 2          ---> since innermost parenthesis/grouping
[50 – 4] ÷ 2  + 2               ---> since multiplication and inside a grouping
46 ÷ 2  + 2                       ---> since inside a grouping
23  + 2                             ---> since division
25                                    ---> final answer