Using order of operations solve 24 divided by 2 to the third power - 4 x 5

1 answer

To solve the expression \( 24 \div 2^3 - 4 \times 5 \), we will follow the order of operations (often remembered by the acronym PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

  1. Exponents: Calculate \( 2^3 \). \[ 2^3 = 8 \]

  2. Division: Now, divide \( 24 \) by \( 8 \). \[ 24 \div 8 = 3 \]

  3. Multiplication: Next, calculate \( 4 \times 5 \). \[ 4 \times 5 = 20 \]

  4. Subtraction: Now we substitute back into the expression: \[ 3 - 20 \]

  5. Finally, perform the subtraction: \[ 3 - 20 = -17 \]

So, the result of the expression \( 24 \div 2^3 - 4 \times 5 \) is \( \boxed{-17} \).