How do you evaluate #(32 + (8 - 2) • 4 - 6 )/3#?

Answer 1

The answer is #50/3#, or #16.6666666667#.

#[32 + (8-2) * 4 - 6]/3#

We need to solve the top side first. Since PEMDAS starts with P, which stands for "Parentheses," we'll solve the parentheses first.

#[32 + (6) * 4 - 6]/3#

The E in PEMDAS stands for "Exponent." Since there are no exponents to solve in this equation, we will skip to the M, which stands for "Multiplication."

#[32 + (24) -6]/3#

Next, we will to Addition (A) and Subtraction (S) from left to right.

#(56 -6)/3#

#50/3#

So, #[32 + (8-2) * 4 - 6]/3 = 50/3.#

If you want to convert it to a decimal, divide #50# by #3.#

#50/3#

#=16.6666666667#

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Answer 2

Eva Adamson

To evaluate the expression ( \frac{{32 + (8 - 2) \cdot 4 - 6}}{3} ), follow the order of operations, also known as PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

First, solve the expression inside the parentheses: (8 - 2 = 6).

Then, (6 \cdot 4 = 24).

Now, substitute the results back into the original expression: (32 + 24 - 6 = 50).

Finally, divide by 3: ( \frac{50}{3} = 16.\bar{6} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.