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What will come in the place of тАШ?тАЩ in the following equation, if тАШ+тАЩ and тАШ-тАЩ are interchanged and тАШxтАЩ and тАШ├╖тАЩ are interchanged? 4 ├╖ 2 + 12 x 4 - 3 = ?
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8
Apply BODMAS rule immediately after swapping symbols to avoid calculation order errors; always treat division/multiplication first.
Apply BODMAS rule immediately after swapping symbols to avoid calculation order errors; always treat division/multiplication first.
Symbol Interchange
Given the original equation: 4 / 2 + 12 x 4 - 3. Interchange symbols as instructed: / becomes x, x becomes /, + becomes -, and - becomes +. The new equation is: 4 x 2 - 12 / 4 + 3.
Solve using BODMAS
Following BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction): First perform division: 12 / 4 = 3. The equation becomes 4 x 2 - 3 + 3. Then perform multiplication: 4 x 2 = 8. The equation becomes 8 - 3 + 3.
Final Calculation
Perform addition and subtraction left to right: 8 - 3 = 5, then 5 + 3 = 8.
A: 4 is incorrect as it fails to follow the BODMAS order of operations after substitution. B: 6 is incorrect because the final addition was miscalculated or the division was skipped. D: 9 is incorrect because it ignores the precedence of multiplication and division over addition and subtraction.
C is correct because after substituting the symbols and applying BODMAS (4 x 2 - 12 / 4 + 3), the expression resolves to 8 - 3 + 3, which equals 8.
Always rewrite the full equation clearly on the scratchpad after substitution to prevent 'sign-blindness' where you accidentally use the old symbol instead of the new one.
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