Ordering Rational and Irrational Numbers from Least to Greatest

This video tutorial for grade 8 math covers the topic of ordering real numbers. It begins with an introduction to real numbers, explaining the difference between rational and irrational numbers. The video then demonstrates how to approximate irrational numbers using decimals and perfect squares. It provides step-by-step instructions on how to order a mix of rational and irrational numbers, using examples and a number line. The tutorial concludes with advanced examples and suggests further resources for understanding real numbers, including a reference to previous videos in the series.

Which of the following is an irrational number?

• 9

• 4

• 16

• π

What is the approximate decimal value of π?

• 4.14

• 3.14

• 2.14

• 5.14

Which of the following is a perfect square?

• 2

• 3

• 5

• 4

If the square root of 12 is between the square roots of 9 and 16, what is its approximate value?

• 2.5

• 4.5

• 3.5

• 5.5

What is the approximate value of π + 2?

• 7.14

• 6.14

• 5.14

• 4.14

Which number is the smallest in the set {√12, 5, π + 2, 7}?

• √12

• 5

• π + 2

• 7

What is the approximate value of π^2?

• 9.86

• 8.86

• 7.86

• 6.86

If the square root of 74 is approximately 8.6, which of the following is true?

• √74 < 9

• √74 = 8

• √74 > 9

• √74 = 9

Which number is the largest in the set {√74, 9, √89, π^2}?

• √74

• 9

• √89

• π^2

Where can you find more information on rational and irrational numbers?

• Grade 10 Math Playlist

• Grade 7 Math Playlist

• Grade 8 Math Playlist

• Grade 9 Math Playlist