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Evaluate the following arithmetic expres...

Evaluate the following arithmetic expression:
`24xx3-:8xx2xx4`

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To evaluate the arithmetic expression \( 24 \times 3 \div 8 \times 2 \times 4 \), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Write the expression clearly**: \[ 24 \times 3 \div 8 \times 2 \times 4 \] 2. **Perform the multiplication and division from left to right**: - First, calculate \( 24 \times 3 \): \[ 24 \times 3 = 72 \] - Now the expression becomes: \[ 72 \div 8 \times 2 \times 4 \] 3. **Next, perform the division**: - Calculate \( 72 \div 8 \): \[ 72 \div 8 = 9 \] - Now the expression is: \[ 9 \times 2 \times 4 \] 4. **Continue with the multiplication**: - First, calculate \( 9 \times 2 \): \[ 9 \times 2 = 18 \] - Now the expression is: \[ 18 \times 4 \] 5. **Finally, calculate \( 18 \times 4 \)**: \[ 18 \times 4 = 72 \] ### Final Answer: The value of the expression \( 24 \times 3 \div 8 \times 2 \times 4 \) is \( 72 \).
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