Comparing and Ordering Rational Numbers

The video tutorial teaches how to compare and order rational numbers, including decimals, fractions, integers, and absolute values. It begins with a definition of rational numbers and uses number lines to visually compare integers, decimals, and fractions. The tutorial also covers the concept of absolute values and how to handle negative signs outside absolute value bars. The video concludes with ordering a set of numbers from least to greatest using a number line.

Which of the following is a rational number?

• 0.75

• e

• π

• √2

What is the absolute value of -7?

• -7

• 0

• -1

• 7

On a number line, which is greater: -2 or the absolute value of -4?

• They are equal

• Absolute value of -4

• -2

• Cannot be determined

Which decimal is larger: 3.5 or the absolute value of -4.2?

• 3.5

• Cannot be determined

• Absolute value of -4.2

• They are equal

What is the common denominator for comparing 1/3 and 1/6?

• 3

• 6

• 9

• 12

Which of the following fractions is equivalent to 0.5?

• 1/3

• 1/2

• 2/3

• 3/4

Order the following from least to greatest: 0.2, 1/4, 0.3.

• 0.2, 1/4, 0.3

• 1/4, 0.2, 0.3

• 0.2, 0.3, 1/4

• 1/4, 0.3, 0.2