Comparing and Ordering Rational Integers

This video tutorial covers the concept of rational numbers, explaining how they can be expressed as fractions, repeating decimals, or terminating decimals. It delves into the importance of common and least common denominators for comparing fractions. The tutorial also demonstrates how to convert between fractions and decimals using a calculator. Additionally, it provides methods for comparing and ordering rational numbers, including using a number line and converting to decimals. Finally, the video applies these concepts to real-world scenarios, such as calculating percentages and comparing fractions in practical situations.

Which of the following is a rational number?

• √2

• π

• 1.5

• e

What is the least common denominator (LCD) of 3/4 and 5/6?

• 18

• 12

• 6

• 24

Which of the following fractions is equivalent to 0.75?

• 2/3

• 3/4

• 1/2

• 5/8

How would you write 2.65 as a fraction in simplest form?

• 265/100

• 53/20

• 53/10

• 265/10

Which of the following is greater: -1.5 or -1.25?

• -1.25

• -1.5

• They are equal

• Cannot be determined

What is the decimal representation of 3/8?

• 0.25

• 0.375

• 0.5

• 0.625

In a football game, if a quarterback completed 11 out of 19 passes, what is the completion percentage?

• 55%

• 58%

• 60%

• 57.89%

Which of the following is the correct order from least to greatest: 3.14, π, 3.4?

• π, 3.14, 3.4

• 3.14, π, 3.4

• 3.4, 3.14, π

• 3.14, 3.4, π

If 20% of students own roller shoes, what fraction represents this percentage?

• 1/5

• 1/4

• 1/3

• 1/2

Which of the following is the correct decimal representation of 7/10?

• 0.7

• 0.17

• 0.07

• 0.77