Parentheses are not limited to their contents: they also include any factor directly attached to them.
Multiplication by juxtaposition has higher precedence than ordinary division.
Detailed reasoning: the correct method.
To correctly solve the equation 48 ÷ 8(14 – 8), the order of operations (PEMDAS or BODMAS) must be followed. Here are the steps:
Solve what is in the parentheses:
14 − 8 = 6.
The equation then becomes: 48 ÷ 8(6).
Dealing with implicit multiplication:
Here, 8(6) is equivalent to 8 × 6 = 48.
The equation therefore becomes: 48 ÷ 48.
Perform the division:
48 ÷ 48 = 1.
Final result: 1.
Why is the other method incorrect?
Many interpret the equation as follows:
Solving the parentheses:
14 − 8 = 6, which gives 48 ÷ 8 × 6.
Division and multiplication from left to right:
48 ÷ 8 = 6, followed by 6 × 6 = 36.
This method seems correct but ignores a crucial point:
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