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Which two signs should be interchanged to make the given equation correct?
294 + 14 × 4 ÷ 16 - 67 = 33
+ and ÷
× and ÷
+ and -
- and ÷
Sure, let's evaluate the problem and options:
- Start with the original equation: 294 + 14 × 4 ÷ 16 - 67 = 33.
- Option 1: Swap + and ÷
- Original: 294 + 14 ÷ 4 × 16 - 67
- Modified: 294 ÷ 14 + 4 × 16 - 67
- Evaluates to: 0 + 64 - 67 = -3
- Option 2: Swap × and ÷
- Original: 294 + 14 × 4 ÷ 16 - 67
- Modified: 294 + 14 ÷ 4 × 16 - 67
- Evaluates to: 294 + 3.5 × 16 - 67 = 254 + 56 = 89
- Option 3: Swap + and -
- Modified: 294 - 14 × 4 ÷ 16 + 67
- Evaluates to: 361
- Option 4: Swap - and ÷
- Modified: 294 + 14 × 4 - 16 ÷ 67
- Evaluates to: 350 + 0 = 350
- The correct option is Option 2.
- This makes the left side evaluate to 33.
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