Classifying real numbers

The video tutorial explains how to classify numbers, focusing on the number -7. It begins by categorizing numbers into real, rational, and irrational. Rational numbers are those that can be expressed as fractions, while irrational numbers cannot be precisely written down, like Pi and sqrt 8. The tutorial then explores integers, which are rational numbers that can be negative, and whole numbers, which are non-negative integers. Natural numbers are introduced as positive whole numbers excluding zero. Finally, -7 is classified as a real, rational, and integer number.

Which of the following is an example of a rational number?

• Pi

• Square root of 8

• 1/2

• e (Euler's number)

What is the main characteristic that differentiates integers from other rational numbers?

• They cannot be expressed as decimals

• They can be negative

• They can be expressed as fractions

• They are always positive

Which of the following is NOT a characteristic of whole numbers?

• They include zero

• They can be negative

• They are a subset of integers

• They do not include fractions

Why is -7 not considered a whole number?

• Whole numbers are irrational

• Whole numbers cannot be negative

• Whole numbers are only positive

• Whole numbers include fractions

In which sets of numbers does -7 belong?

• Real numbers, irrational numbers, and integers

• Rational numbers, whole numbers, and natural numbers

• Real numbers, rational numbers, and integers

• Whole numbers, natural numbers, and irrational numbers