Ordering Rational and Irrational Numbers

The video tutorial demonstrates how to order real numbers, including both rational and irrational numbers. It provides three examples: two focusing on ordering numbers from greatest to least and one on ordering from smallest to largest. The instructor uses estimation and rounding techniques to simplify calculations, emphasizing the importance of reading directions carefully.

What types of numbers will be used in this tutorial?

• Only rational numbers

• Only irrational numbers

• Both rational and irrational numbers

• Only whole numbers

Which number is the largest in the first example?

• 7.4

• 8 and 5/6

• 109 divided by 9

• 5.8 times pi

What is the estimated value of 2 radical 6?

• 2.4

• 4.8

• 6.2

• 3.6

Which number comes after 5.8 times pi in the first example?

• 2 radical 6

• 109 divided by 9

• 8 and 5/6

• 7.4

What is the value of 104 divided by 9?

• 11 and 1/9

• 10 and 4/9

• 12 and 1/9

• 11 and 5/9

Which number is the smallest in the second example?

• 2 radical 2

• 5 and 2/7

• 0.3 times pi

• 12.3

What is the estimated value of 2 radical 2?

• 1.3

• 2.6

• 3.2

• 2.4

What is the estimated value of 4.7 times pi?

• 12

• 14

• 15

• 16

Which number is the largest in the third example?

• 169 divided by 9

• 4.7 times pi

• 16 and 7/8

• 4 radical 5

What is the estimated value of 4 radical 5?

• 9.8

• 8.8

• 7.8

• 6.8