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Which two signs should be interchanged to make the given equation correct?
8 + 6 × 4 ÷ 2 − 10 = 6
+ and ×
× and −
× and ÷
− and +
To determine which signs to interchange, we'll apply mathematical operations using different options:
- Option 1: Interchange `+` and `×`.
- Equation becomes: `8 × 6 + 4 ÷ 2 - 10`
- Calculation: `(8 × 6) + (4 ÷ 2) - 10` = `48 + 2 - 10` = `40`
- The result is not 6.
- Option 2: Interchange `×` and `-`.
- Equation becomes: `8 + 6 - 4 ÷ 2 × 10`
- Calculation: `8 + 6 - (4 ÷ 2) × 10` = `8 + 6 - 20` = `-6`
- Option 3: Interchange `×` and `÷`.
- Equation becomes: `8 + 6 ÷ 4 × 2 - 10`
- Calculation: `8 + (6 ÷ 4) × 2 - 10` = `8 + 3 - 10` = `1`
- Option 4: Interchange `-` and `+`.
- The equation becomes: `8 - 6 × 4 ÷ 2 + 10`
- Calculation: `(8 - (6 × 4) ÷ 2) + 10` = `(-4) + 10` = `6`
- The result matches 6.
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