5 × 39 ÷ 39 + 39 - 5 = ?
The problem requires solving a given equation after interchanging specific mathematical operators.
Interchanging Operators
The original equation is:
\(5 × 39 ÷ 39 + 39 - 5 = ?\)
The rules for interchange are:
- '×' is interchanged with '÷'
- '+' is interchanged with '-'
Applying these interchanges to the original equation, we get the new equation:
\(5 ÷ 39 × 39 - 39 + 5 = ?\)
Solving the New Equation
To find the value of '?', we solve the new equation using the standard order of operations (BODMAS/PEMDAS): Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Division: Calculate \(5 \div 39\). This is \(\frac{5}{39}\).
- Multiplication: Multiply the result by 39. So, \(\frac{5}{39} \times 39 = 5\).
- The equation now simplifies to: \(5 - 39 + 5 = ?\).
- Subtraction: Calculate \(5 - 39 = -34\).
- Addition: Calculate \(-34 + 5 = -29\).
Therefore, the value that comes in the place of '?' is -29.
Similar Questions
- If '+' represents '\(\times\)', '-' represents '+', '\(\times\)' represents '\(\div\)' and '\(\div\)' represents '-', then find the value of the following expression.
\(6 \div 8 \times 2 - 4\) - Which two signs should be interchanged to correct the given equation?
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312 + 6 x 8 - 21 ÷ 169 = ? - If ‘P’ stands for ‘×’ , ‘Q’ stands for ‘÷’, ‘R’ stands for ‘−’ and ‘S’ stands for ‘+’, then what will come in place of the question mark (?) in the following equation?
70 Q 2 R 5 P 3 S 18 = ?
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