Question

\(83+238\div17-64=?\)

• A. \(31\)
• B. \(33\)
• C. \(35\)
• D. \(36\)

Hint:

Use BODMAS: perform division before addition and subtraction.

Answer 1

The Correct Option is B

Step 1: Understanding the Question:
The task is to compute the value of the given arithmetic expression using the standard mathematical rules of precedence (BODMAS).

Step 2: Key Formula or Approach:
The BODMAS rule dictates the order of operations:
• Brackets
• Orders/Exponents
• Division
• Multiplication
• Addition
• Subtraction

Step 3: Detailed Explanation:
Let us simplify the expression step-by-step:
• The given expression is: \[ 83 + 238 \div 17 - 64 \]
•

Step 1: Division
Evaluate $238 \div 17$:
We know $17 \times 10 = 170$.
Subtracting 170 from 238 gives 68.
We know $17 \times 4 = 68$.
So, $238 \div 17 = 10 + 4 = 14$.
Substituting this back into the expression: \[ 83 + 14 - 64 \]
•

Step 2: Addition
Evaluate $83 + 14$: \[ 83 + 14 = 97 \] The expression is now: \[ 97 - 64 \]
•

Step 3: Subtraction
Evaluate $97 - 64$: \[ 97 - 64 = 33 \]

Step 4: Final Answer:
The final evaluated result is 33, matching Option (B).