Comparing and Ordering Rational Numbers

The video tutorial from MooMooMath explains the concepts of rational and irrational numbers, including their definitions and examples. It introduces symbols used for comparing numbers and outlines steps for comparing and ordering rational numbers using a number line. The tutorial provides practical examples, such as comparing temperatures and ordering numbers, to illustrate these concepts. It also demonstrates how to compare fractions and decimals using number lines.

Which of the following is a rational number?

• √2

• π

• 0.75

• e

What type of decimal is associated with irrational numbers?

• None of the above

• Terminating

• Repeating

• Non-terminating and non-repeating

Which symbol represents 'greater than'?

• <

• ≠

• =

• >

What is the first step in comparing rational numbers?

• Plot the numbers on a number line

• Use a calculator

• Convert them to decimals

• Compare their absolute values

If -3 is plotted on a number line, where would it be in relation to -1?

• Cannot be determined

• At the same position

• To the left

• To the right

Which temperature is warmer: -9 5/8°F or -2.8°F?

• -9 5/8°F

• -2.8°F

• Both are the same

• Cannot be determined

Order the following from least to greatest: -1 3/4, 2.6, -4.3.

• -1 3/4, -4.3, 2.6

• -4.3, -1 3/4, 2.6

• -4.3, 2.6, -1 3/4

• 2.6, -1 3/4, -4.3

Which is smaller: -5 3/4 or -5.3?

• -5.3

• Cannot be determined

• -5 3/4

• Both are equal

How many sections should a number line be divided into to plot -2 5/6?

• 4

• 10

• 6

• 5

Which is correct: -2 5/6 < -2.7 or -2.7 < -2 5/6?

• Cannot be determined

• -2.7 < -2 5/6

• -2 5/6 < -2.7

• Both are equal