Understanding Inequalities and Fractions

The video tutorial explains how to compare numbers using less than or greater than symbols. It demonstrates two methods: plotting on a number line and finding a common denominator. Examples include comparing fractions and mixed numbers, such as -2/3 and -1, -2 and -1 3/4, -3/5 and -4/5, and -4 and -11/3. The tutorial emphasizes understanding the position of numbers on a number line and using common denominators to simplify comparisons.

What are the two methods used to compare numbers in this tutorial?

• Using a calculator and finding a common denominator

• Plotting on a graph and using a calculator

• Plotting on a number line and finding a common denominator

• Using a calculator and plotting on a graph

When comparing -2/3 and -1 on a number line, which is greater?

• Cannot be determined

• They are equal

• -1 is greater than -2/3

• -2/3 is greater than -1

What is the least common denominator used to compare -2/3 and -1?

• 4

• 3

• 2

• 1

How is -1 3/4 represented as an improper fraction?

• -7/4

• -5/4

• -9/4

• -11/4

Which number is greater: -2 or -1 3/4?

• They are equal

• -1 3/4 is greater

• Cannot be determined

• -2 is greater

When comparing -3/5 and -4/5, which is greater?

• Cannot be determined

• -3/5 is greater

• -4/5 is greater

• They are equal

What is the common denominator used to compare -3/5 and -4/5?

• 5

• 1

• 2

• 10

How is 11/3 represented as a mixed number?

• -4 and 2/3

• -4 and 1/3

• -3 and 2/3

• -3 and 1/3

Which number is less: -4 or -11/3?

• -4 is less

• They are equal

• Cannot be determined

• -11/3 is less

What is the common denominator used to compare -4 and -11/3?

• 1

• 4

• 2

• 3