What will come in the place of question mark (?) in the following equation, if ‘+’ and ‘−‘ are interchanged and ‘×’ and ‘÷’ are interchanged? 99 ÷ 9 − 999 × 9 + 99 = ?
Given equation:
99 ÷ 9 − 999 × 9 + 99 = ?
Interchanging ‘+’ and ‘−’ and ‘×’ and ‘÷’:
The equation becomes:
99 × 9 + 999 ÷ 9 − 99 = ?
Following the BODMAS rule (Brackets, Of, Division, Multiplication, Addition, Subtraction), we solve the equation step-by-step:
- Division: \(999 ÷ 9 = 111\)
- Multiplication: \(99 × 9 = 891\)
- Addition: \(891 + 111 = 1002\)
- Subtraction: \(1002 - 99 = 903\)
Therefore, the solution to the equation is 903.
The core concept here involves understanding the order of operations (BODMAS/PEMDAS) and correctly applying the given interchanges of operators. Failing to follow the correct order of operations would lead to an incorrect answer. The interchange of operators significantly alters the calculation sequence. It's crucial to meticulously apply each step, ensuring accuracy in each arithmetic operation. A common mistake would be to perform the operations from left to right without considering the order of precedence defined by BODMAS. Misinterpreting the instruction to interchange operators could also lead to errors. The careful and sequential application of the modified operations, following BODMAS strictly, is key to reaching the correct solution. Applying these steps accurately demonstrates a clear understanding of mathematical operations and their order of precedence.
Similar Questions
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