Arithmetic Operations and Exponents

Mr. Hanson explains the order of operations involving exponents and square roots using PEMDAS. He provides three examples, starting with a basic problem and progressing to more complex ones, emphasizing the importance of following integer rules and showing work step-by-step. The video covers evaluating expressions with parentheses, exponents, and square roots, and encourages using calculators for accuracy.

What is the main topic covered in the video?

• Fractions and Decimals

• Geometry and Trigonometry

• Exponents and Square Roots

• Algebraic Expressions

What does PEMDAS stand for in order of operations?

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

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

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

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

Which of the following is NOT included in the grouping symbols?

• Decimal Points

• Absolute Value

• Braces

• Brackets

In the first example, what is the square root of 36?

• 8

• 5

• 7

• 6

What is the result of 5 minus 6 in the first example?

• -1

• 2

• 1

• 0

In the first example, what does subtracting a negative number turn into?

• Division

• Addition

• Multiplication

• Subtraction

What is the final result of the first example problem?

• 5

• 4

• 3

• 6

In the second example, what is the value of negative two raised to the third power?

• -10

• -12

• -8

• -6

What operation should be performed first according to PEMDAS in the second example?

• Exponents

• Multiplication

• Division

• Parentheses

What is the result of 5 plus 5 in the second example?

• 8

• 9

• 10

• 11