Comparing and Ordering Rational Numbers

Mr. Richards explains rational numbers, which can be expressed as fractions. He discusses comparing and ordering them using methods like common denominators and the butterfly method. The video also covers handling negative fractions and converting percentages and fractions to decimals for comparison. Finally, it demonstrates ordering rational numbers from least to greatest.

Which of the following is a rational number?

• e

• 2/3

• π

• √2

Which of these numbers is only a rational number and not an integer or whole number?

• 1.444444...

• 2

• -1

• 0

Where would 0.8 be placed in the Venn diagram of rational numbers?

• Integer

• Whole number

• Rational number

• None of the above

How do you compare 5 and 5/9 with 5 and 1/9 on a number line?

• They are equal

• 5 and 1/9 is greater

• Cannot be compared

• 5 and 5/9 is greater

What is the first step in comparing fractions using common denominators?

• Multiply the numerators

• Subtract the fractions

• Find a common denominator

• Add the fractions

Using the butterfly method, which fraction is greater: 1/5 or 7/50?

• Cannot be determined

• They are equal

• 7/50

• 1/5

How do you handle negative fractions when comparing them?

• Attach the negative to the denominator

• Attach the negative to the numerator

• Convert them to positive fractions

• Ignore the negative sign

Which class had a higher percentage of students who liked to bowl?

• Cannot be determined

• Both are equal

• Fifth period

• Second period

What is the decimal form of 23%?

• 0.023

• 23.0

• 2.3

• 0.23

Which of the following is the correct order from least to greatest: 23%, 0.21, 1/4, 1/5?

• 1/4, 23%, 0.21, 1/5

• 0.21, 1/5, 1/4, 23%

• 1/5, 0.21, 23%, 1/4

• 23%, 1/5, 0.21, 1/4