Question
Download Solution PDFWhich two mathematical operators should be interchanged to make the given equation correct?
18 × 6 + 12 - 7 ÷ 2 = 1
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFWe apply the options on the given equation and solve it using the BODMAS rule:
Option 1) ÷ and -
Given: 18 × 6 + 12 - 7 ÷ 2 = 1
After interchanging symbols:
18 × 6 + 12 ÷ 7 - 2 = 1
18 × 6 + 1.7 - 2 = 1
108 + 1.7 - 2 = 1
109.7 - 2 = 1
107.7 ≠ 1
Option 2) + and ×
Given: 18 × 6 + 12 - 7 ÷ 2 = 1
After interchanging symbols:
18 + 6 × 12 - 7 ÷ 2 = 1
18 + 6 × 12 - 3.5 = 1
18 + 72 - 3.5 = 1
90 - 3.5 = 1
86.5 ≠ 1
Option 3) - and +
Given: 18 × 6 + 12 - 7 ÷ 2 = 1
After interchanging symbols:
18 × 6 - 12 + 7 ÷ 2 = 1
18 × 6 - 12 + 3.5 = 1
108 - 12 + 3.5 = 1
111.5 - 12 = 1
99.5 ≠ 1
Option 4) × and ÷
Given: 18 × 6 + 12 - 7 ÷ 2 = 1
After interchanging symbols:
18 ÷ 6 + 12 - 7 × 2 = 1
3 + 12 - 7 × 2 = 1
3 + 12 - 14 = 1
15 - 14 = 1
1 = 1
Hence the correct answer is option 4)
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