Exploring the Real Number System

The video tutorial introduces the real number system, explaining the differences between rational and irrational numbers. It covers the properties of rational numbers, including fractions and decimals, and discusses integers, whole numbers, and natural numbers. The tutorial uses a Venn diagram to illustrate the relationships between these sets and provides problem-solving examples to classify numbers into their respective categories.

What type of numbers are described as decimals that never terminate or repeat?

• Integers

• Irrational numbers

• Rational numbers

• Natural numbers

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

• 10

• Square root of 41

• 0.75

• 2/3

What does the term 'rational' in rational numbers imply?

• Derived from 'ratio'

• Derived from 'rationalize'

• Derived from 'rate'

• Derived from 'ration'

Which of the following numbers is a rational number?

• Square root of 3

• Pi

• Square root of 16

• Square root of 23

Which set of numbers includes zero?

• Integers

• Whole numbers

• Natural numbers

• Irrational numbers

Which of the following is NOT a natural number?

• 0

• 1

• 3

• 2

In a Venn diagram of number sets, which is the smallest section?

• Integers

• Whole numbers

• Rational numbers

• Natural numbers

Which number set is directly inside the set of integers?

• Irrational numbers

• Natural numbers

• Whole numbers

• Rational numbers

What classification does the number -47 belong to?

• Irrational

• Natural

• Whole

• Integer

Which of the following numbers is classified as both rational and real?

• Square root of 64

• 1.565

• -1 2/3

• Square root of 23