Order of Operations and PEMDAS

The video tutorial explains the order of operations using the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. It emphasizes the importance of following this order to solve mathematical expressions correctly. The tutorial provides examples to illustrate how to apply these operations, highlighting the left-to-right rule for multiplication and division, as well as addition and subtraction. A complex expression is solved step-by-step to demonstrate the application of PEMDAS, ensuring accurate results.

What does the acronym PEMDAS stand for?

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

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

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

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

Which operations are grouped together in the order of operations?

• Multiplication and Subtraction, Addition and Division

• Multiplication and Division, Addition and Subtraction

• Addition and Multiplication, Division and Subtraction

• Exponents and Parentheses, Multiplication and Division

In the expression 8 - 4 + 21 - 10, which operation should be performed first?

• Addition

• Subtraction

• Multiplication

• Division

Why is it important to follow the left-to-right rule in addition and subtraction?

• To simplify the expression

• To avoid getting negative results

• To avoid errors in the final result

• To ensure multiplication is done first

What is the first step in solving an expression with parentheses?

• Calculate inside the parentheses

• Solve the exponents

• Perform multiplication

• Do the addition

In the expression 2(5 + 4) - 3^2 + 18 + 3(16 ÷ 4), what is the result of the operation inside the first parentheses?

• 5

• 9

• 4

• 16

What is the result of 3 squared in the expression?

• 6

• 9

• 3

• 12

After solving the parentheses and exponents, what is the next step in the order of operations?

• Perform all subtraction

• Perform all multiplication and division from left to right

• Perform all addition

• Perform all operations simultaneously

What is the final result of the expression 2(5 + 4) - 3^2 + 18 + 3(16 ÷ 4)?

• 45

• 15

• 39

• 27

What is the purpose of using PEMDAS in mathematical expressions?

• To solve equations faster

• To ensure a consistent order of operations

• To avoid using parentheses

• To make calculations easier