Decoding the Order of Operations: PEMDAS Explained

Professor Dave explains the order of arithmetic operations, highlighting the importance of following a standard convention to ensure consistent results. He introduces PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction, as the rule to follow. Through examples, he demonstrates how different orders of operations can lead to different results and emphasizes the correct application of PEMDAS to solve arithmetic expressions accurately.

Why do we need a standard order of operations?

• To make calculations more complex

• To reduce the number of operations needed

• To ensure consistent results across different calculations

• To allow flexibility in calculations

What does PEMDAS stand for?

• Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

• Parentheses, Equations, Multiplication, Division, Addition, Subtraction

• Parentheses, Exponents, Mean, Division, Addition, Subtraction

• Product, Exponents, Modulus, Division, Addition, Subtraction

What does the 'D' in PEMDAS stand for?

• Difference

• Decimal

• Derivative

• Division

What operation is performed first according to PEMDAS?

• Addition

• Multiplication

• Parentheses

• Exponents

Which of the following is a correct application of PEMDAS?

• Performing addition before multiplication

• Handling operations inside parentheses first

• Solving from left to right regardless of operation

• Multiplying before dividing

If an expression includes parentheses and exponents, which should be addressed first?

• Multiplication

• Parentheses

• Addition

• Exponents

What is the final operation to perform according to PEMDAS?

• Subtraction

• Multiplication

• Exponents

• Parentheses

What is the correct result of the operation 5 * 3 + 4 - 2 * 6 using PEMDAS?

• 19

• -25

• 102

• 7

In the expression 15 + 3 + 2^2 - 9 * 6 + 2^3, what is the correct order to solve it?

• Parentheses, Exponents, Multiplication, Addition and Subtraction

• Multiplication, Addition, Exponents, Subtraction

• Addition, Multiplication, Exponents, Subtraction

• Exponents, Parentheses, Addition, Multiplication

What is the result of the expression 15 + 3 + 2^2 - 9 * 6 + 2^3 following PEMDAS?

• 34

• -6

• 44

• 0