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Which two signs need to be changed to make the following equation correct?
64 – 8 ÷ 3 + 7 × 5 = 40
÷ and –
× and ÷
× and +
÷ and +
Let’s break it down:
- The original: 64 – 8 ÷ 3 + 7 × 5
- Order of operations says: do ÷ and × first, then – and +.
- So: 8 ÷ 3 ˜ 2.67; 7 × 5 = 35. Plug those in:
- 64 – 2.67 + 35 ˜ 96.33—not 40.
Now, check each option:
1. Change ÷ and –.?
- That makes it: 64 + 8 × 3 + 7 × 5
- 8 × 3 = 24; 7 × 5 = 35
- 64 + 24 + 35 = 123. Nope.
2. Change × and ÷.
- So: 64 – 8 × 3 + 7 ÷ 5
- 8 × 3 = 24; 7 ÷ 5 = 1.4
- 64 – 24 + 1.4 = 41.4. Not 40.
3. Change × and +.
- 64 – 8 ÷ 3 × 7 + 5
- 8 ÷ 3 = 2.67
- 2.67 × 7 ˜ 18.67
- 64 – 18.67 + 5 = 50.33. No.
4. Change ÷ and +
- 64 – 8 + 3 + 7 × 5
- 7 × 5 = 35
- 64 – 8 + 3 + 35
- 56 + 3 + 35 = 94.
- Still wrong.
But, wait: Maybe flip ÷ to – and – to ÷ (per how the option 1 is phrased):
- Try this: 64 ÷ 8 – 3 + 7 × 5
- 64 ÷ 8 = 8; 7 × 5 = 35; 8 – 3 = 5; 5 + 35 = 40.
Now we have 40. That matches the right side.
So, Option 1 is correct: change ÷ and – (÷ and –).
By: Kamal Kashyap ProfileResourcesReport error
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