40÷[24−4×(2 3)]

General
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40÷[24−4×(2 3)]

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How do we solve ( 40 \div [24 - 4 \times (2 \times 3)] )?

Answer:

To solve the expression ( 40 \div [24 - 4 \times (2 \times 3)] ), follow these steps using 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. Parentheses: Simplify inside the brackets first.

    • Inside the brackets, handle the parentheses: ( 2 \times 3 = 6 ).
    • Now the expression inside the brackets becomes ( 24 - 4 \times 6 ).

  2. Multiplication: Next, perform the multiplication.

    • Multiply: ( 4 \times 6 = 24 ).
    • Now you have ( 24 - 24 ).

  3. Subtraction: Finally, perform the subtraction inside the brackets.

    • ( 24 - 24 = 0 ).

  4. Division: Now, you will divide by the result in the brackets.

    • Since the denominator becomes 0, the expression ( 40 \div 0 ) is undefined, as division by zero is not possible.

Summary: The expression simplifies to an undefined term due to division by zero.