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What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘ – ‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 10 ÷ 8 × 4 – 6 + 2 = ?
22
28
24
26
24
Rewrite the expression using the new signs immediately and follow the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly to avoid calculation errors.
Rewrite the expression using the new signs immediately and follow the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly to avoid calculation errors.
Apply sign interchange
Given equation: 10 / 8 * 4 - 6 + 2. Interchanging signs: / becomes *, * becomes /, - becomes +, and + becomes -. The new equation is: 10 * 8 / 4 + 6 - 2.
Execute BODMAS calculation
First, perform division: 8 / 4 = 2. Now the equation is 10 * 2 + 6 - 2. Next, perform multiplication: 10 * 2 = 20. The equation is 20 + 6 - 2. Finally, perform addition and subtraction: 26 - 2 = 24.
A is wrong because it evaluates to 22, which ignores the correct precedence of division. B is wrong because it evaluates to 28, resulting from incorrect operation order. D is wrong because it evaluates to 26, which ignores the final subtraction step.
C is correct because applying the BODMAS rule to the transformed expression 10 * 8 / 4 + 6 - 2 results in exactly 24.
In mathematical operations, always prioritize Division and Multiplication from left to right before moving to Addition and Subtraction to avoid common calculation traps.
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