Which two signs should be interchanged to make the following equation correct?…
2022
Which two signs should be interchanged to make the following equation correct?
437 ÷ 23 + 34 – 26 × 170 = 733
- A.
÷ and ×
- B.
× and +
- C.
× and –
- D.
÷ and +
Attempted by 20 students.
Show answer & explanation
Correct answer: C
Step-by-Step Verification
Let's test the options by swapping the operators:
Option 1: Swap ÷ and ×
Equation becomes: 437 × 23 + 34 – 26 ÷ 170 = 733
437 × 23 = 10051
26 ÷ 170 ≈ 0.15
10051 + 34 - 0.15 = 10084.85
Result: Incorrect.
Option 2: Swap × and +
Equation becomes: 437 ÷ 23 × 34 – 26 + 170 = 733
437 ÷ 23 = 19
19 × 34 = 646
646 - 26 + 170 = 790
Result: Incorrect.
Option 3: Swap × and –
Equation becomes: 437 ÷ 23 + 34 × 26 – 170 = 733
437 ÷ 23 = 19
34 × 26 = 884
19 + 884 - 170 = 733
Result: Correct.
Option 4: Swap ÷ and +
Equation becomes: 437 + 23 ÷ 34 – 26 × 170 = 733
23 ÷ 34 ≈ 0.67
26 × 170 = 4420
437 + 0.67 - 4420 = -3982.33
Result: Incorrect.