-12/3 * (-8 + (-4)^2 - 6) + 2
-4 * (-8+16-6) + 2
-4 * 2 + 2
-8 + 2
-6
Just follow the usual order of evaluation.
-12 divided by 3 •(-8 + (-4)^2 - 6) + 2
My teacher said the answer should be -6. But I don't know how to get to it. Plz Help!
-4 * (-8+16-6) + 2
-4 * 2 + 2
-8 + 2
-6
Just follow the usual order of evaluation.
To solve the given expression: -12 ÷ 3 •(-8 + (-4)^2 - 6) + 2, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction) to simplify it step by step.
Step 1: Simplify any expressions inside parentheses.
Inside the parentheses, we have (-8 + (-4)^2 - 6).
First, we evaluate the exponent, (-4)^2, which gives us 16.
Next, we add -8 and 16 to get 8.
Finally, we subtract 6 from 8 to get 2.
Replacing the expression inside the parentheses with 2, we now have:
-12 ÷ 3 • 2 + 2.
Step 2: Perform any multiplication or division from left to right.
Now, we divide -12 by 3, which gives us -4.
Replacing the division with -4, the expression becomes:
-4 • 2 + 2.
Next, we perform the multiplication: -4 multiplied by 2, which gives us -8.
Replacing the multiplication with -8, the expression becomes:
-8 + 2.
Step 3: Perform any addition or subtraction from left to right.
Finally, we add -8 and 2 to get -6.
Therefore, the answer to the expression -12 ÷ 3 •(-8 + (-4)^2 - 6) + 2 is indeed -6, matching what your teacher said.
Remember to follow the order of operations (PEMDAS) when simplifying complex expressions.