312 + 6 x 8 - 21 ÷ 169 = ?
The problem asks us to find the value of the question mark (?) in the given equation after interchanging specific operators.
Interchanging Operators
The given equation is:
\(312 + 6 x 8 - 21 ÷ 169 = ?\)
The rules for interchanging operators are:
- '+' is interchanged with '÷'
- '-' is interchanged with 'x'
Applying these rules, the equation becomes:
\(312 ÷ 6 - 8 x 21 + 169 = ?\)
Solving the Transformed Equation
We solve the transformed equation using the standard order of operations (BODMAS/PEMDAS): Bracket, Order/Of, Division and Multiplication (from left to right), Addition and Subtraction (from left to right).
- Division: Calculate \(312 \div 6\).
\(312 \div 6 = 52\)
- Multiplication: Calculate \(8 \times 21\).
\(8 \times 21 = 168\)
- Substitute and Simplify: Substitute these results back into the equation.
\(52 - 168 + 169 = ?\)
- Subtraction: Calculate \(52 - 168\).
\(52 - 168 = -116\)
- Addition: Calculate \(-116 + 169\).
\(-116 + 169 = 53\)
Therefore, the value that comes in place of the question mark is 53.
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?
\(3 \times 6 + 2 - 4 \div 8 = 13\) - What will come in the place of ‘?’ in the following equation, if ‘+’ and ‘-‘ are interchanged and ‘×’ and ‘÷’ are interchanged?
5 × 39 ÷ 39 + 39 - 5 = ? - 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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