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

If + means `xx,xx` means `-,div` means + and - means `div`, then what is the value of `62-2div8+15xx4+6` ?

A

130

B

127

C

120

D

128

Text Solution

AI Generated Solution

The correct Answer is:
To solve the expression \(62 - 2 \div 8 + 15 \times 4 + 6\) with the given operations switched, we first need to replace the operations according to the rules provided: 1. \(+\) means multiplication (\(\times\)) 2. \(\times\) means subtraction (\(-\)) 3. \(\div\) means addition (\(+\)) 4. \(-\) means division (\(\div\)) Now, let's rewrite the expression with the new operations: - The original expression is \(62 - 2 \div 8 + 15 \times 4 + 6\). - Replacing the operations: - \(62 - 2\) becomes \(62 \div 2\) - \(2 \div 8\) becomes \(2 + 8\) - \(15 \times 4\) becomes \(15 - 4\) - \(+ 6\) becomes \(\times 6\) So, the expression now reads: \[62 \div 2 + 8 + 15 - 4 \times 6\] Next, we will follow the order of operations (BODMAS/BIDMAS): 1. **Division**: Calculate \(62 \div 2\): \[ 62 \div 2 = 31 \] 2. **Addition**: Now add \(31 + 8\): \[ 31 + 8 = 39 \] 3. **Subtraction**: Next, calculate \(15 - 4\): \[ 15 - 4 = 11 \] 4. **Multiplication**: Now multiply \(11 \times 6\): \[ 11 \times 6 = 66 \] 5. **Final Calculation**: Now, we have \(39 - 66\): \[ 39 - 66 = -27 \] Thus, the final value of the expression \(62 - 2 \div 8 + 15 \times 4 + 6\) is \(-27\).
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