Understanding the Real Number System

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

• Decimals and Fractions

• Rational and Irrational

• Natural and Whole

• Integers and Fractions

Which of the following is a natural number?

• -1

• 1/2

• 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?

• 0.67

• 1.5

• -3

• 1/3

What is a characteristic of a rational number?

• It is always a repeating decimal

• It is always a whole number

• It cannot be written as a fraction

• It can be expressed as a ratio of two integers

Which of the following is a terminating decimal?

• 0.333...

• 0.5

• 1/3

• 3.14159...

Why is the square root of 2 considered irrational?

• It can be expressed as a fraction

• It is a perfect square

• It results in a non-repeating, non-terminating decimal

• It is a whole number

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

• 1/2

• 3.14

• 4

• Pi (π)

What is a key feature of irrational numbers?

• They can be written as a fraction

• They have a repeating decimal pattern

• They are always negative

• They are non-terminating and non-repeating

Which of the following is true about the number pi (π)?

• It is a rational number

• It is a repeating decimal

• It is an irrational number

• It is a terminating decimal