Ordering and Classifying Real Numbers

The video tutorial explores the concept of real numbers, explaining their various types such as integers, whole numbers, natural numbers, and irrational numbers. It demonstrates how to order real numbers from smallest to largest and classifies them into different categories. The tutorial also provides a detailed analysis of specific numbers, including repeating decimals and square roots, highlighting their classification as rational or irrational.

Which of the following is NOT a type of real number?

• Integer

• Whole number

• Natural number

• Imaginary number

What is the approximate value of the square root of 3?

• Exactly 2

• Exactly 1

• Between 1 and 2

• Less than 1

Which number is the smallest in the given set?

• -5/4

• 0

• 0.3 repeating

• 0.945

What is the decimal equivalent of -5/4?

• 0.25

• 1.25

• -0.25

• -1.25

Which number comes immediately after 0 in the ordered list?

• 0.3 repeating

• 0.945

• Square root of 3

• -5/4

Which of the following is a rational number?

• Square root of 3

• 0.3 repeating

• Pi

• e

Which number is both a real number and an integer?

• 0.3 repeating

• Square root of 3

• 0

• 0.945

Why is 0 not considered a natural number?

• Natural numbers include negative numbers

• 0 is an irrational number

• Natural numbers start at 1

• 0 is not a real number

Which of the following is an irrational number?

• 0.945

• 0

• 0.3 repeating

• Square root of 3

What type of number is 0.945?

• Rational

• Natural

• Irrational

• Whole