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Interchange two mathematical operators a...

Interchange two mathematical operators and balance the incorrect equation given below :
`16 - 24 xx 2 div 10 + 104 = 0`

A

`div and xx`

B

`+ and xx`

C

`- and +`

D

`+ and -`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation `16 - 24 xx 2 div 10 + 104 = 0` by interchanging two mathematical operators, we will follow these steps: ### Step 1: Identify the Operators The original equation contains the operators: subtraction (-), multiplication (xx), division (div), and addition (+). ### Step 2: Choose Operators to Interchange We will interchange the multiplication (xx) and division (div) operators. This means we will replace `xx` with `div` and `div` with `xx`. ### Step 3: Rewrite the Equation After interchanging the operators, the equation becomes: `16 - 24 div 2 xx 10 + 104 = 0` ### Step 4: Solve the New Equation Now, we will solve the new equation step by step: 1. **Calculate 24 div 2**: \[ 24 \div 2 = 12 \] So the equation now is: \[ 16 - 12 xx 10 + 104 = 0 \] 2. **Calculate 12 xx 10**: \[ 12 \times 10 = 120 \] Now the equation is: \[ 16 - 120 + 104 = 0 \] 3. **Combine the terms**: - First, calculate \(16 - 120\): \[ 16 - 120 = -104 \] - Now add 104: \[ -104 + 104 = 0 \] ### Conclusion The equation balances correctly as: \[ 0 = 0 \] Thus, the interchanged operators that balance the equation are multiplication and division.
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