Exploring Rational and Irrational Expressions

The video tutorial explains the number system, focusing on rational and irrational numbers. Rational numbers can be expressed as fractions, including integers, terminating decimals, and repeating decimals. Perfect squares are also rational. Irrational numbers, like pi and non-perfect squares, cannot be expressed as fractions. The video includes an activity to classify numbers as rational or irrational.

What is a rational number?

• A number that is always positive

• A number that has a non-terminating decimal

• A number that can be written as a fraction

• A number that cannot be written as a fraction

Which of the following is a rational number?

• Square root of 17

• 3/4

• Square root of 2

• Pi

Which category does the number 2.6 belong to?

• Terminating decimal

• Repeating decimal

• Non-perfect square

• Integer

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

What is the characteristic of a repeating decimal?

• It is always greater than 1

• It has an end

• It repeats a sequence of digits forever

• It cannot be written as a fraction

Tags

CCSS.8.NS.A.1

Which of the following is an irrational number?

• Square root of 17

• Square root of 9

• 0.75

• 1/2

Tags

CCSS.8.NS.A.1

Why is Pi considered an irrational number?

• It is an integer

• It is a perfect square

• It is a non-terminating decimal

• It can be written as a fraction

Which of the following is a perfect square?

• Square root of 17

• Square root of 2

• Square root of 9

• Square root of 5

Tags

CCSS.8.EE.A.2

What is the result of the square root of 4?

• 4

• 2

• 1

• 3

Which of the following is a rational number?

• Pi

• 0.34 with a line over it

• Square root of 5

• Square root of 17

Tags

CCSS.4.NF.C.6

What is the fractional representation of 0.34 with a line over it?

• 34/10

• 34/100

• 34/99

• 34/9

Tags

CCSS.4.NF.C.6