Rational and Irrational Numbers

Mrs. Kieva introduces rational and irrational numbers, explaining their differences and providing examples. Rational numbers can be expressed as fractions, while irrational numbers cannot. The lesson includes practice exercises to differentiate between the two types and compares their values. Students are assigned homework to order numbers from least to greatest and can contact Mrs. Kieva via email for assistance.

What is the main objective of today's lesson?

• To learn about fractions

• To solve algebraic equations

• To differentiate between rational and irrational numbers

• To understand geometry

Which of the following is a characteristic of a rational number?

• It cannot be expressed as a fraction

• It is always a whole number

• It can be expressed as a fraction a/b where b is not zero

• It is always positive

Which of these numbers is a rational number?

• Pi

• e (Euler's number)

• Square root of 2

• 0.75

What is an irrational number?

• A number that can be expressed as a fraction

• A number that cannot be expressed as a fraction

• A number that is always positive

• A number that is always negative

Which of the following is an example of an irrational number?

• 2

• 0.5

• 3/4

• Pi

What hint suggests a decimal is irrational?

• It repeats

• It is a whole number

• It terminates

• It has a dot dot dot at the end

Which of these numbers is irrational?

• 0

• 3.1415...

• 4

• 1/2

Why is pi considered an irrational number?

• It is a whole number

• It can be expressed as a fraction

• It is represented by a symbol and goes on forever

• It is a repeating decimal

Which of these is a rational number?

• Negative two-thirds

• Square root of 19

• Pi over four

• Point zero zero zero one not terminating

Which approximation of pi is irrational?

• 3.14

• 3.1415

• 22/7

• Pi