Explanation:

Let's evaluate the given options for interchanging signs to correct the equation 4 + 8 × 12 ÷ 6 - 4 = 8:

- Option 1: Interchange - and +

- New equation: 4 - 8 × 12 ÷ 6 + 4

- Calculation: 4 - ((8 × 12) ÷ 6) + 4 = 4 - 16 + 4 = -8

- Not equal to 8.

- Option 2: Interchange ÷ and -

- New equation: 4 + 8 × 12 - 6 ÷ 4

- Calculation: 4 + (8 × 12) - (6 ÷ 4) = 96 - 1.5 = 98.5

- Not equal to 8.

- Option 3: Interchange × and +

- New equation: 4 × 8 + 12 ÷ 6 - 4

- Calculation: (4 × 8) + (12 ÷ 6) - 4 = 32 + 2 - 4 = 30

- Not equal to 8.

- Option 4: Interchange + and ÷

- New equation: 4 ÷ 8 × 12 + 6 - 4

- Calculation: (4 ÷ 8) × 12 + 6 - 4 = 0.5 × 12 + 6 - 4 = 6 + 6 - 4 = 8

- Equal to 8.

Option 4: Interchange + and ÷ is the correct choice.

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