Use the order of operations to simplify 12−2^3+4÷2+24 .(1 point)

1 answer

To simplify the expression 12 - 2^3 + 4 ÷ 2 + 24 using the order of operations, we follow the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division [from left to right], and Addition and Subtraction [from left to right]).

First, we have no parentheses or exponents, so we move to multiplication and division from left to right.

Next, we have 4 ÷ 2 = 2.

Now the expression becomes: 12 - 2^3 + 2 + 24.

Then, we evaluate the exponent 2^3, which is equal to 8.

The expression now becomes: 12 - 8 + 2 + 24.

Finally, we perform addition and subtraction from left to right, resulting in: 4 + 26.

Therefore, the simplified expression is 30.