Simplify.is what?
42 ÷ 6 + {1 · 7 - [7 + (6 - 1)]}
A. 12
B. 2
C. 28
D. 14
To simplify the given expression, you need to follow the order of operations, also known as PEMDAS.
Step 1: Simplify within the innermost parentheses.
Starting with the innermost parentheses: (6 - 1), simplify it to get 5. After simplifying, the expression becomes:
42 ÷ 6 + {1 · 7 - [7 + 5]}
Step 2: Simplify within the next level of parentheses.
Next, simplify the expression within the square brackets [7 + 5], which equals 12. Now the expression becomes:
42 ÷ 6 + {1 · 7 - 12}
Step 3: Simplify within the next level of parentheses.
Now, simplify the expression within the curly braces {1 · 7 - 12}:
1 · 7 equals 7. After simplifying, the expression becomes:
42 ÷ 6 + {7 - 12}
Step 4: Simplify multiplication and subtraction.
Multiply 1 and 7 to get 7. Now the expression becomes:
42 ÷ 6 + {-5}
Step 5: Simplify division and addition.
Divide 42 by 6 to get 7. Now the expression becomes:
7 + {-5}
Step 6: Simplify addition.
Add 7 and -5 to get 2.
Therefore, the simplified expression is 2, which means the correct answer is Option B.