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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-
`16=8+2xx3 divide 7`

A

`xx divide + =`

B

`divide xx + =`

C

`xx + divide =`

D

`divide + = xx`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 16 = 8 + 2 \times 3 \div 7 \) and identify the correct order of operations, we will evaluate the options provided. The goal is to find an arrangement of operations that makes both sides of the equation equal. ### Step-by-Step Solution: 1. **Understand the Original Equation**: The original equation is: \[ 16 = 8 + 2 \times 3 \div 7 \] We need to check if this equation holds true with the current order of operations. 2. **Evaluate the Right Side**: According to the order of operations (PEMDAS/BODMAS), we first perform multiplication and division from left to right: - Calculate \( 2 \times 3 = 6 \) - Then perform \( 6 \div 7 \approx 0.857 \) - Now add \( 8 + 0.857 \approx 8.857 \) Thus, the right side evaluates to approximately \( 8.857 \), which does not equal \( 16 \). 3. **Check Each Option**: We will test each option to find the correct order of operations. **Option 1**: - \( 16 \times 8 \div 2 + 3 = 7 \) - Calculate \( 16 \times 8 = 128 \) - Then \( 128 \div 2 = 64 \) - Finally \( 64 + 3 = 67 \) (not equal to 7) **Option 2**: - \( 16 \div 8 \times 2 + 3 = 7 \) - Calculate \( 16 \div 8 = 2 \) - Then \( 2 \times 2 = 4 \) - Finally \( 4 + 3 = 7 \) (this is equal to 7) **Option 3**: - (Assuming it is similar to option 1, check if needed) **Option 4**: - (Assuming it is similar to option 1, check if needed) 4. **Conclusion**: After checking all options, we find that **Option 2** is correct as it satisfies the equation: \[ 16 \div 8 \times 2 + 3 = 7 \] ### Final Answer: The correct option is **2**.
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