Comparing Rational and Irrational Numbers

The video tutorial covers the concepts of rational and irrational numbers, explaining how to compare and order them using decimal approximations. It provides examples of comparing numbers like square roots and decimals, and emphasizes the importance of using original numbers when ordering. The tutorial includes practice problems for students to apply these concepts.

What type of numbers can be written as fractions or have decimals that terminate or repeat?

• Irrational numbers

• Imaginary numbers

• Rational numbers

• Transcendental numbers

Which is greater, the square root of 3 or 1?

• 1

• Square root of 3

• Both are equal

• Cannot be determined

What is the approximate value of the square root of 2?

• 1.4

• 1.7

• 1.6

• 1.5

Which of the following is an irrational number?

• 2.6 repeating

• 3.14

• 3.1

• Square root of 11

How should numbers be ordered for comparison?

• From least to greatest

• From greatest to least

• In alphabetical order

• Randomly

What is the approximate decimal value of pi used in the examples?

• 3.14

• 3.1

• 3.14159

• 3

Which number is the largest in the given examples?

• 3.4

• Square root of 11

• Pi

• 3.1

What is the value of the square root of 16?

• -4

• 4

• 16

• -16

Which of the following is a correct way to represent a repeating decimal?

• 2.66

• 2.6

• 2.6 repeating

• 2.600

In ordering numbers, why is it important to use two decimal places?

• To follow mathematical rules

• To avoid confusion with similar numbers

• To make numbers easier to read

• To ensure accuracy