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)).
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Calculate the exponent: \[ 2^3 = 8 \] Now the expression looks like: \[ 24 \div 8 - 4 \times 5 \]
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Perform the division: \[ 24 \div 8 = 3 \] Now we have: \[ 3 - 4 \times 5 \]
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Perform the multiplication: \[ 4 \times 5 = 20 \] Now we can substitute that back into the expression: \[ 3 - 20 \]
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Perform the subtraction: \[ 3 - 20 = -17 \]
The simplified result of the expression \( 24 \div 2^3 - 4 \times 5 \) is \(-17\).
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