Understanding Rational Numbers and Decimals

This video tutorial explains how to graph rational numbers on a number line, including finding their opposites. It covers the concept of rational numbers as fractions and demonstrates graphing techniques using both horizontal and vertical number lines. The tutorial also explores how to identify non-integer rational numbers and their positions relative to integers on a number line.

What is a rational number?

• A number that is always an integer

• A number that cannot be written as a fraction

• A number that is always negative

• A number that can be written as a fraction

How do you graph 1/2 on a number line?

• Divide the distance between 0 and 1 into three parts

• Divide the distance between 0 and 1 into two parts

• Divide the distance between 0 and 1 into four parts

• Divide the distance between 0 and 1 into five parts

What is the opposite of 3/10 on a number line?

• -3/10 to the right

• 3/10 to the left

• 3/10 to the right

• -3/10 to the left

What happens to the water level in a lake when it rains?

• It increases

• It becomes negative

• It stays the same

• It decreases

Which two integers is 1 and 25/100 between on a number line?

• 0 and 1

• 3 and 4

• 1 and 2

• 2 and 3

How is 1/4 represented as a decimal?

• 0.1

• 0.5

• 0.25

• 0.75

What is the opposite of 1 and 25/100?

• -2 and 25/100

• 2 and 25/100

• 1 and 25/100

• -1 and 25/100

Which of the following is a rational number that is not an integer?

• 2

• 4

• 1 and 3/10

• 3

Where is -2 and 47/100 located on a number line?

• Between -4 and -5

• Between -2 and -3

• Between -1 and -2

• Between -3 and -4

What is the decimal representation of 1/4?

• 0.3

• 0.25

• 0.2

• 0.1