Rational Numbers and Absolute Value

The video tutorial introduces rational numbers, explaining that they include fractions and decimals, and can be plotted on a number line. It distinguishes between whole numbers, integers, and rational numbers using a diagram. The tutorial also covers the concept of absolute value, explaining it as the distance from zero, and demonstrates how to compare numbers using absolute values. Practical exercises are provided to reinforce the concepts of plotting rational numbers and understanding absolute values.

What is a rational number?

• A number that cannot be written as a fraction

• A number that can be written as a fraction

• A number that is always an integer

• A number that is always a whole number

Which of the following is a rational number?

• 0.75

• e

• π

• √2

How can rational numbers be represented?

• Only as decimals

• Only as fractions

• As both fractions and decimals

• As whole numbers only

Where can rational numbers be plotted?

• On a number line

• On a pie chart

• On a bar graph

• On a scatter plot

Which of the following is NOT a rational number?

• 1/2

• 0.333...

• 5

• √3

What is the relationship between whole numbers, integers, and rational numbers?

• Whole numbers, integers, and rational numbers are all separate sets

• Rational numbers are a subset of integers, which are a subset of whole numbers

• Integers are a subset of whole numbers, which are a subset of rational numbers

• Whole numbers are a subset of integers, which are a subset of rational numbers

Which number fits inside the triangle, oval, and rectangle in the diagram?

• 1/4

• 0

• -6

• 3

How do you plot the number 3 on a number line?

• Between 2 and 4

• Between 0 and 1

• Between 4 and 5

• Between 1 and 2

What is the absolute value of a number?

• The number's distance from zero

• The number's distance from one

• The number's distance from infinity

• The number itself

What is the absolute value of -8?

• -8

• 0

• 16

• 8