Classifying Rational Numbers: Key Concepts and Techniques

The video tutorial explains the classification of rational numbers, starting with their definition as numbers that can be expressed as fractions. It uses a Venn diagram to illustrate the relationship between rational numbers, integers, and whole numbers. The tutorial clarifies that whole numbers and integers are subsets of rational numbers, as they can be expressed as fractions. It also introduces irrational numbers, which cannot be written as fractions and are represented by non-repeating decimals, with pi as a key example.

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 positive

• A number that is always negative

In a Venn diagram, where do whole numbers fall?

• Outside the rational numbers

• Inside the rational numbers

• Outside the integers

• Inside the irrational numbers

Which of the following is a whole number?

• 0

• 63

• -46

• -1,000,002

How can the whole number 63 be written as a fraction?

• 63/0

• 63/1

• 1/63

• 63/63

Which of the following is an integer but not a whole number?

• -46

• 2

• 0

• 63

What is the main difference between whole numbers and integers?

• Whole numbers include negative numbers

• Integers include zero and negative numbers

• Integers are always positive

• Whole numbers are always negative

Which of the following is a rational number?

• A number that cannot be written as a fraction

• A decimal that goes on forever without a pattern

• A non-repeating decimal

• A repeating decimal

What is an irrational number?

• A number that can be written as a fraction

• A number that is always negative

• A number that is always positive

• A decimal that goes on forever with no pattern

Which of the following is an example of an irrational number?

• 1/2

• 3.14159...

• 0

• 63

Where would the number pi be placed in the Venn diagram?

• Inside the rational numbers

• Inside the whole numbers

• Inside the integers

• Outside the rational numbers