Simplify this expression -12 ÷ *(-8 +(-4)^2 -6)+2 prepare your response to this question. Include various key words you learned within the unit.list your steps in order so anyone can follow your steps.
To simplify the expression -12 ÷ *(-8 +(-4)^2 -6)+2, we can follow the order of operations or PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to make the calculation easier.
Step 1: Simplify inside the parentheses first.
-8 +(-4)^2 -6 = -8 + 16 - 6
= 2
This means that we can replace (-8 +(-4)^2 -6) with 2 in the original expression.
-12 ÷ *(2) + 2
Step 2: Simplify the exponent.
(-4)^2 = 16
-12 ÷ *(2) + 2
Step 3: Simplify the multiplication and division from left to right.
-12 ÷ *(2) = -24
-24 + 2
Step 4: Simplify the addition and subtraction.
= -22
Therefore, -12 ÷ *(-8 +(-4)^2 -6)+2 simplifies to -22.
Key words learned within the unit:
- Order of operations
- PEMDAS
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
To simplify the expression -12 ÷ *(-8 +(-4)^2 -6)+2, we can follow these steps:
Step 1: Evaluate the exponent:
(-4)^2 = 16
Step 2: Simplify the inside parentheses:
-8 + 16 - 6 = 2
Step 3: Simplify the expression using the order of operations (PEMDAS/BODMAS):
-12 ÷ *(2) + 2
Step 4: Perform the division:
-12 ÷ 2 + 2
Step 5: Perform the addition and subtraction from left to right:
-6 + 2 = -4
Step 6: Final answer:
The simplified expression is -4.