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PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Here's an example problem:
Solve: ( 7 + (6 \times 5^2 - 4) \div 2 )
Step-by-Step Solution:
Parentheses: Solve inside the parentheses first:
Inside the Parentheses: ( 6 \times 5^2 - 4 )
Exponents: ( 5^2 = 25 )So, ( 6 \times 25 - 4 )
Multiplication: ( 6 \times 25 = 150 )Subtract: ( 150 - 4 = 146 )
Division: Apply the division to the result:( 146 \div 2 = 73 )Addition: Add to the remaining number outside the parentheses:( 7 + 73 = 80 )
Final Answer: ( 80 )