Comparing and Ordering Real Numbers

The video tutorial covers ordering real numbers by converting them into decimal form. It explains how to convert fractions and square roots to decimals, and discusses the difference between rational and irrational numbers. The tutorial also covers approximating non-perfect square roots and graphing these numbers on a number line. Finally, it includes a review and a notebook activity for students to reinforce their learning.

What is the first step in ordering real numbers?

• Compare their square roots

• Graph them directly

• Convert them to decimal form

• Convert them to fractions

How do you convert 3 and 1/5 to a decimal?

• 3.15

• 3.5

• 3.2

• 3.25

What is the approximate value of pi?

• 3.14

• 3.41

• 3.40

• 3.04

Which of the following is a rational number?

• Pi

• 3.14

• Repeating decimal

• Square root of 14

What type of number is a repeating decimal?

• Irrational

• Rational

• Integer

• Whole number

What is the smaller perfect square before 16?

• 3

• 9

• 12

• 4

How do you approximate a non-perfect square root?

• Use a calculator

• Divide by 2

• Find the nearest whole number

• Find the difference between the lower two perfect squares

Where would you place 3.71 on a number line?

• Between 3.8 and 3.9

• Between 3.7 and 3.8

• Between 3.6 and 3.7

• Between 3.5 and 3.6

What is the decimal form of 11 divided by 3?

• 3.75

• 3.5

• 3.67

• 3.33

What should you do after converting all numbers to decimal form?

• Compare their square roots

• Find their approximate values

• Graph them on a number line

• Convert them back to fractions