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If '-' means 'xx', '+' means 'div','xx' ...

If '-' means `'xx'`, '+' means `'div','xx'` means '+' and `'div'` means '-', then :
`4-3div8xx6+4=?`

A

`-3(1)/(2)`

B

`-4(3)/(4)`

C

`5(1)/(2)`

D

6

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \( 4 - 3 \div 8 \times 6 + 4 \) using the given meanings of the symbols, we will follow these steps: ### Step 1: Replace the symbols According to the problem: - \( - \) means \( \times \) - \( + \) means \( \div \) - \( \times \) means \( + \) - \( \div \) means \( - \) So, we will replace each symbol in the expression \( 4 - 3 \div 8 \times 6 + 4 \): - \( 4 - 3 \) becomes \( 4 \times 3 \) - \( 3 \div 8 \) becomes \( 3 - 8 \) - \( 8 \times 6 \) becomes \( 8 + 6 \) - \( 6 + 4 \) becomes \( 6 \div 4 \) Thus, the expression becomes: \[ 4 \times 3 - 8 + 6 \div 4 \] ### Step 2: Rewrite the expression Now we rewrite the expression with the new meanings: \[ 4 \times 3 - 8 + 6 \div 4 \] ### Step 3: Apply BODMAS/BIDMAS rules According to BODMAS/BIDMAS, we first perform division and multiplication from left to right: 1. Calculate \( 4 \times 3 \): \[ 4 \times 3 = 12 \] 2. Calculate \( 6 \div 4 \): \[ 6 \div 4 = 1.5 \] Now the expression looks like: \[ 12 - 8 + 1.5 \] ### Step 4: Perform subtraction and addition Now we perform the operations from left to right: 1. Calculate \( 12 - 8 \): \[ 12 - 8 = 4 \] 2. Now add \( 1.5 \): \[ 4 + 1.5 = 5.5 \] ### Final Answer Thus, the final answer is: \[ 5.5 \] or \( 5 \frac{1}{2} \) ---
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