Comparing Rational Numbers: Key Concepts and Techniques

This lesson focuses on comparing and ordering rational numbers using a number line. It begins with an introduction to rational numbers, including fractions, decimals, and percents. The lesson covers graphing these numbers on a number line, understanding opposites, and comparing both positive and negative fractions. It also explains how to convert between decimals and fractions for easier comparison. Advanced comparisons involving mixed numbers and decimals are discussed, with emphasis on conversion techniques and understanding number line positions.

What is the position of zero on a number line?

• To the right of positive numbers

• To the left of negative numbers

• At the end of the number line

• In the middle, neither positive nor negative

Where does the fraction 1/2 fall on the number line?

• To the right of 1

• To the left of -1

• Between 0 and 1

• Between 0 and -1

Which fraction is the opposite of 1/4?

• 1/2

• -1/2

• -1/4

• 3/4

Which fraction is greater: 3/4 or 1/4?

• Cannot be determined

• They are equal

• 3/4

• 1/4

Which is less: -3/4 or -1/4?

• They are equal

• -1/4

• -3/4

• Cannot be determined

What is the decimal equivalent of -1/4?

• -0.75

• 0.75

• 0.25

• -0.25

Which is greater: 8/11 or -1/3?

• Cannot be determined

• They are equal

• -1/3

• 8/11

Which is less: -12.4 or -12.04?

• -12.04

• They are equal

• -12.4

• Cannot be determined

What is the simplified form of -4.12 as a fraction?

• -4 1/8

• -4 12/100

• -4 3/25

• -4 2/25

Which is greater: -4 2/25 or -4 3/25?

• -4 3/25

• -4 2/25

• Cannot be determined

• They are equal