Question
Download Solution PDFFind the two signs to be interchanged for making the following equation correct.
9 + 8 × 4 − 8 ÷ 2 = 11
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven equation: 9 + 8 × 4 − 8 ÷ 2 = 11
BODMAS table
Let's check each option one by one,
Option 1) + and ÷
Given: 9 + 8 × 4 − 8 ÷ 2 = 11
After interchanging the signs we get
⇒ 9 ÷ 8 × 4 − 8 + 2 = 11
⇒ 1.125 x 4 - 8 + 2 = 11
⇒ 4.5 - 8 + 2 = 11
⇒ -1.5 ≠ 11
⇒LHS ≠ RHS.
Option 2) ÷ and x
Given: 9 + 8 × 4 − 8 ÷ 2 = 11
After interchanging the signs we get
⇒ 9 + 8 ÷ 4 − 8 x 2 = 11
⇒ 9 + 2 - 8 x 2 = 11
⇒ 9 + 2 - 16 = 11
⇒ - 5 ≠ 11
⇒LHS ≠ RHS
Option 3) - and +
Given: 9 + 8 × 4 − 8 ÷ 2 = 11
After interchanging the signs we get
⇒ 9 - 8 × 4 + 8 ÷ 2 = 11
⇒ 9 - 8 x 4 + 4 = 11
⇒ 9 - 32 + 4 = 11
⇒ 13 - 32 ≠ 11
⇒LHS ≠ RHS.
Option 4) ÷ and -
Given: 9 + 8 × 4 − 8 ÷ 2 = 11
After interchanging the signs we get
⇒ 9 + 8 x 4 ÷ 8 - 2 = 11
⇒ 9 + 4 - 2 = 11
⇒ 13 - 2 = 11
⇒ 11 = 11
⇒ LHS = RHS.
Hence the correct answer is "Option 4".
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