Solve the following: $32 \div 4+4 \times 8=$ ?
A) 96
B) 42
C) 40
D) 32
Answer (2)
Perform the division: 32 ÷ 4 = 8 .
Perform the multiplication: 4 × 8 = 32 .
Add the results: 8 + 32 = 40 .
The final answer is 40 .
Explanation
Understanding the Order of Operations We are asked to evaluate the expression 32 ÷ 4 + 4 × 8 . To do this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). In this case, we have division, multiplication, and addition. According to the order of operations, we perform division and multiplication before addition.
Performing the Division First, we perform the division: 32 ÷ 4 = 8 .
Performing the Multiplication Next, we perform the multiplication: 4 × 8 = 32 .
Performing the Addition Finally, we perform the addition: 8 + 32 = 40 .
Final Answer Therefore, 32 ÷ 4 + 4 × 8 = 40 . The correct answer is C) 40.
Examples
Understanding the order of operations is crucial in many real-life scenarios, such as calculating expenses or determining the outcome of a series of actions. For instance, if you buy 3 items costing $5 each and then receive a 2 d i sco u n t , t h ecorrec t c a l c u l a t i o ni s (3 \times 5) - 2 = 13$, not 3 × ( 5 − 2 ) = 9 . This principle applies in various fields, including finance, engineering, and even everyday problem-solving, ensuring accurate and logical results.
The expression 32 ÷ 4 + 4 × 8 evaluates to 40 by following the order of operations. Therefore, the correct answer is C) 40.
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