Which one of the following has the highest precedence in the expression?OptionsParenthesesAdditionExponentialMultiplication
Question
Which one of the following has the highest precedence in the expression?
Options
- Parentheses
- Addition
- Exponential
- Multiplication
Solution
1. Break Down the Problem
To determine which operation has the highest precedence in the given expression options, we need to understand the order of operations in mathematics.
2. Relevant Concepts
The order of operations can be remembered using the acronym PEMDAS:
- Parentheses
- Exponential
- Multiplication
- Division (left to right)
- Addition
- Subtraction (left to right)
3. Analysis and Detail
- Parentheses: Operations enclosed in parentheses are performed first.
- Exponential: After parentheses, exponentiation is carried out.
- Multiplication and Division: These are of equal precedence and are performed from left to right.
- Addition and Subtraction: These also have equal precedence and are performed last, from left to right.
4. Verify and Summarize
Considering the order established through PEMDAS, we can conclude the precedence rankings:
- Parentheses have the highest precedence.
- Exponential follows.
- Multiplication comes next.
- Finally, Addition has the lowest precedence.
Final Answer
Parentheses has the highest precedence in the expression.
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