If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?Options1023
Question
If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ?Options1023
Solution
Sure, let's solve the problem step by step.
Given:
- 'x' means '-'
- '÷' means '+'
- '-' means '÷'
- '+' means 'x'
We need to evaluate the expression: 24 - 4 ÷ 6 x 3 + 4
First, let's replace the symbols with their actual meanings:
- Replace '-' with '÷'
- Replace '÷' with '+'
- Replace 'x' with '-'
- Replace '+' with 'x'
So, the expression becomes: 24 ÷ 4 + 6 - 3 x 4
Now, follow the order of operations (PEMDAS/BODMAS):
- Division and Multiplication from left to right
- Addition and Subtraction from left to right
Step 1: Division 24 ÷ 4 = 6
So the expression now is: 6 + 6 - 3 x 4
Step 2: Multiplication 3 x 4 = 12
So the expression now is: 6 + 6 - 12
Step 3: Addition and Subtraction from left to right 6 + 6 = 12 12 - 12 = 0
Therefore, the value of the expression is: 0
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