Understanding the Real Number System

What is the main classification of numbers in the real number system?

• Prime and Composite

• Rational and Irrational

• Positive and Negative

• Even and Odd

Which of the following is a natural number?

• -1

• 1.5

• 0

• 3

What distinguishes whole numbers from natural numbers?

• Whole numbers include negative numbers

• Whole numbers include fractions

• Whole numbers include zero

• Whole numbers include decimals

Which of the following is an integer?

• -3

• 0.67

• 2.5

• 1/2

What is a characteristic of a terminating decimal?

• It ends after a finite number of digits

• It never ends

• It is always greater than 1

• It repeats a pattern

Which of the following is a rational number?

• 3.14159...

• 0.5

• Pi

• Square root of 2

Why is the square root of 2 considered irrational?

• It is a perfect square

• It can be written as a fraction

• It is a non-repeating, non-terminating decimal

• It is a terminating decimal

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

• 0.75

• 4

• 1/3

• Pi

What is a key feature of irrational numbers?

• They are always negative

• They are non-repeating and non-terminating

• They have a repeating pattern

• They can be expressed as a fraction

Which of the following is true about the number pi?

• It is a rational number

• It is a terminating decimal

• It is an irrational number

• It is a repeating decimal