use order of operations to simplfy this eqation 24 divided by 2^3 - 4 x 5=

1 answer

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

  1. Calculate the exponent: \[ 2^3 = 8 \] Now the expression looks like: \[ 24 \div 8 - 4 \times 5 \]

  2. Perform the division: \[ 24 \div 8 = 3 \] Now we have: \[ 3 - 4 \times 5 \]

  3. Perform the multiplication: \[ 4 \times 5 = 20 \] Now we can substitute that back into the expression: \[ 3 - 20 \]

  4. Perform the subtraction: \[ 3 - 20 = -17 \]

The simplified result of the expression \( 24 \div 2^3 - 4 \times 5 \) is \(-17\).