Real Number System Diagram

Front

What is the Real Number System?

Back

The Real Number System includes all the numbers that can be found on the number line, including rational and irrational numbers.

Front

Define Rational Numbers.

Back

Rational numbers are numbers that can be expressed as a fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \).

Front

Define Irrational Numbers.

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction. They have non-repeating, non-terminating decimal expansions, such as \( \pi \) and \( \sqrt{2} \).

Front

What are Whole Numbers?

Back

Whole numbers are non-negative integers, including zero (0, 1, 2, 3, ...).

Front

What are Natural Numbers?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What are Integers?

Back

Integers are whole numbers that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

Front

How do you compare two numbers using <, >, or =?

Back

You can compare two numbers by determining their relative size. For example, if \( a < b \), then \( a \) is less than \( b \).

Front

Order the following integers from least to greatest: 4, -4, -2, 2, -8.

Back

-8, -4, -2, 2, 4.

Front

Is \( \pi \) a rational or irrational number?

Back

\( \pi \) is an irrational number.

Front

Which subset can the letter 'B' represent?

Back

The letter 'B' can represent the Natural numbers.