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Evaluate the following arithmetic expres...

Evaluate the following arithmetic expressions:
`75-77-:11+9xx3`

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The correct Answer is:
To evaluate the arithmetic expression `75 - 77 ÷ 11 + 9 × 3`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)). ### Step-by-Step Solution: 1. **Identify the expression**: \[ 75 - 77 ÷ 11 + 9 × 3 \] 2. **Perform division and multiplication first**: - Calculate \(77 ÷ 11\): \[ 77 ÷ 11 = 7 \] - Calculate \(9 × 3\): \[ 9 × 3 = 27 \] 3. **Substitute back into the expression**: \[ 75 - 7 + 27 \] 4. **Perform the subtraction and addition from left to right**: - First, calculate \(75 - 7\): \[ 75 - 7 = 68 \] - Then, add \(27\): \[ 68 + 27 = 95 \] 5. **Final result**: \[ 75 - 77 ÷ 11 + 9 × 3 = 95 \] ### Final Answer: \[ \text{The value of the expression is } 95. \]
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