Final answer:
The value of the expression 6 + 18 ÷ 3 × 4 is 30, calculated by following the order of operations known as PEMDAS.
Step-by-step explanation:
To evaluate the expression 6 + 18 ÷ 3 × 4 using PEMDAS, we must follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). There are no parentheses or exponents in this expression, so we move on to multiplication and division first.
Following PEMDAS, we first divide 18 by 3, which gives us 6, and then multiply that result by 4, which gives us 24. The expression now looks like this: 6 + 24. Lastly, we perform the addition operation which gives us the final answer, 30.
The proper steps are:
- Divide 18 by 3 to get 6.
- Multiply the result by 4 to get 24.
- Add 6 to the multiplication result to get 30.