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The equations have become wrong because ...

The equations have become wrong because of the wrong order of signs. Choose the correct order of signs from the four options given below so as to make the equations right. Write the alternative number of the correct option on the answer sheet against the corresponding question number-
`12 - 6 = 2+ 3 divide 1`

A

`+ - divide =`

B

`- + divide =`

C

`divide + - =`

D

`+ divide - =`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation `12 - 6 = 2 + 3 divide 1` by finding the correct order of signs, we will analyze the options provided and check which one makes the equation true. ### Step-by-Step Solution: 1. **Identify the Original Equation**: The original equation is: \[ 12 - 6 = 2 + 3 \div 1 \] 2. **Calculate the Left-Hand Side (LHS)**: \[ LHS = 12 - 6 = 6 \] 3. **Calculate the Right-Hand Side (RHS)**: \[ RHS = 2 + 3 \div 1 = 2 + 3 = 5 \] Here, \(3 \div 1 = 3\), so \(2 + 3 = 5\). 4. **Check if LHS equals RHS**: \[ 6 \neq 5 \] Therefore, the equation is not correct. 5. **Test the Options**: We need to test the given options to find the correct order of operations. **Option 1**: `+ - ÷ =` \[ 12 + 6 - 2 \div 3 \] LHS = \(12 + 6 = 18\) and \(18 - (2 \div 3) \neq 1\). **Option 2**: `- + ÷ =` \[ 12 - 6 + 2 \div 3 \] LHS = \(12 - 6 = 6\) and \(6 + (2 \div 3) \neq 1\). **Option 3**: `÷ + - =` \[ 12 \div 6 + 2 - 3 \] LHS = \(12 \div 6 = 2\) and \(2 + 2 - 3 = 1\). Thus, \(LHS = 1\). **Option 4**: `+ ÷ - =` \[ 12 + 6 \div 2 - 3 \] LHS = \(12 + 3 - 3 = 12\), which is not equal to 1. 6. **Conclusion**: The correct option that makes the equation true is **Option 3**. ### Final Answer: The answer is **Option 3**.
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