\(6 \div 8 \times 2 - 4\)
Expression Simplification with Operator Substitution
The problem requires evaluating a mathematical expression after replacing the operators based on a given set of rules.
Operator Substitution Rules
The given substitution rules are:
- '+' represents '\(\\times\)'
- '-' represents '+'
- '\(\\times\)' represents '\(\\div\)'
- '\(\\div\)' represents '-'
Applying the Substitution
The original expression is: \(6 \)\div\( 8 \)\times\( 2 - 4\)
Applying the substitution rules yields the new expression:
\(6 - 8 \)\div\( 2 + 4\)
Evaluating the New Expression
We evaluate the new expression \(6 - 8 \)\div\( 2 + 4\) using the standard order of operations (BODMAS/PEMDAS):
- Division: First, perform the division: \(8 \div 2 = 4\). The expression becomes \(6 - 4 + 4\).
- Subtraction: Next, perform the subtraction from left to right: \(6 - 4 = 2\). The expression becomes \(2 + 4\).
- Addition: Finally, perform the addition: \(2 + 4 = 6\).
Therefore, the value of the expression after substitution is 6.
Similar Questions
- Which two signs should be interchanged to correct the given equation?
\(3 \times 6 + 2 - 4 \div 8 = 13\) - What will come in place of the question mark (?) in the following equation, if '+' and '÷' are interchanged and '-' and 'x' are interchanged?
312 + 6 x 8 - 21 ÷ 169 = ? - 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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