Exploring Subsets of Real Numbers in Grade 7 Mathematics

The video tutorial covers the subsets of real numbers, including rational and irrational numbers, integers, and non-integers. It explains how to arrange these numbers on a number line and discusses set operations like union and intersection. The video also includes practice questions and true or false statements to reinforce learning.

Which of the following is a subset of real numbers?

• Imaginary numbers

• Complex numbers

• Natural numbers

• Prime numbers

What are the two main subsets of rational numbers?

• Whole numbers and fractions

• Natural numbers and decimals

• Integers and non-integers

• Positive and negative numbers

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

• Pi (π)

• Square root of 4

• 3.5

• Negative 1.5

What is the approximate value of the square root of 2?

• 1.41

• 1.50

• 1.60

• 1.70

Which of the following is a terminating decimal?

• 1.414141...

• 3.5

• Pi (π)

• Square root of 2

What is the result of the union of rational and irrational numbers?

• Real numbers

• Natural numbers

• Complex numbers

• Whole numbers

What is the intersection of positive and negative integers?

• Empty set

• Positive integers

• Negative integers

• Zero

Which of the following is a counting number?

• Negative 1

• 5

• 0.5

• 0

What is the complement of a set in the universal set?

• The set itself

• The empty set

• All elements not in the set

• The universal set

Which of the following statements is true?

• All rational numbers are integers.

• All whole numbers are integers.

• Zero is a positive integer.

• Zero is a counting number.