Comparing and Ordering Rational Numbers

This video tutorial covers the topic of comparing and ordering rational numbers. It begins with an introduction to rational numbers, including whole numbers, integers, and fractions. The lesson explains how to compare these numbers using number lines and common denominators. Students are guided through examples to understand the concepts of greater than, less than, and equal to, especially when dealing with negative numbers. The tutorial emphasizes the importance of finding the least common denominator when comparing fractions.

What is the essential question discussed in the introduction?

• What happens when you add, subtract, multiply, and divide fractions?

• How to solve algebraic equations?

• How to calculate the area of a circle?

• What is the value of pi?

Which of the following is a rational number?

• √2

• π

• 0.8

• e

Which set of numbers includes both positive and negative numbers?

• Prime numbers

• Natural numbers

• Whole numbers

• Integers

Which of the following is NOT a rational number?

• √3

• 0.8

• 1 and 2/3

• 2.2

What is the correct comparison for -1 and 5/6 with -1 and 1/6?

• -1 and 5/6 is equal to -1 and 1/6

• -1 and 5/6 is less than -1 and 1/6

• -1 and 5/6 is greater than -1 and 1/6

• Cannot be determined

When comparing negative numbers, which direction on the number line indicates a smaller value?

• To the right

• To the left

• Upwards

• Downwards

Using the number line, which is greater: -5 and 5/9 or -5 and 1/9?

• They are equal

• Cannot be determined

• -5 and 1/9

• -5 and 5/9

What is the least common denominator (LCD) of 12 and 18?

• 24

• 36

• 48

• 60

How do you convert 7/12 to a fraction with a denominator of 36?

• Multiply both numerator and denominator by 3

• Multiply both numerator and denominator by 2

• Multiply both numerator and denominator by 5

• Multiply both numerator and denominator by 4

Which fraction is greater: 21/36 or 16/36?

• 21/36

• 16/36

• They are equal

• Cannot be determined