Comparing and Ordering Rational Numbers

The video tutorial covers comparing and ordering rational numbers, including fractions and decimals. It begins with a review of mixed numbers and improper fractions, then introduces the concept of comparing rational numbers using common denominators. The butterfly method is explained for comparing fractions, and the importance of understanding positive versus negative numbers is highlighted. Techniques for comparing decimals are discussed, and the video concludes with methods for ordering numbers from least to greatest.

Convert the mixed number 3 and 5/6 to an improper fraction.

• 20/6

• 23/6

• 18/6

• 21/6

What is the common denominator of 3/4 and 5/6?

• 18

• 30

• 24

• 12

Using the butterfly method, which fraction is larger: 2/3 or 3/5?

• 2/3

• Cannot be determined

• 3/5

• They are equal

Which is greater: -3/7 or 2/7?

• They are equal

• Cannot be determined

• 2/7

• -3/7

Compare the fractions 5/8 and 7/8. Which is larger?

• They are equal

• Cannot be determined

• 5/8

• 7/8

Which decimal is larger: 0.456 or 0.459?

• They are equal

• 0.459

• Cannot be determined

• 0.456

Compare the repeating decimal 0.666... and 0.667. Which is larger?

• They are equal

• 0.666...

• 0.667

• Cannot be determined

Which is larger: -2.345 or -2.349?

• Cannot be determined

• They are equal

• -2.349

• -2.345

Convert the fraction 7/8 to a decimal.

• 0.875

• 0.87

• 0.88

• 0.78

Order the following from least to greatest: 0.75, 3/4, 0.76.

• 0.75, 0.76, 3/4

• 3/4, 0.75, 0.76

• 0.76, 0.75, 3/4

• 0.75, 3/4, 0.76