Real Number System

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 Whole Numbers.

Back

Whole Numbers are non-negative numbers without fractions or decimals, 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

Define Rational Numbers.

Back

Rational Numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero (e.g., 1/2, 3, -4).

Front

What are Irrational Numbers?

Back

Irrational Numbers are numbers that cannot be expressed as a simple fraction, and their decimal representation is non-repeating and non-terminating (e.g., √2, π).

Front

Is -√225 a rational number?

Back

Yes, -√225 is an integer (-15), and all integers are rational numbers.

Front

Can you give an example of a whole number?

Back

An example of a whole number is 5.

Front

Classify the number 7.

Back

7 is a natural number, whole number, integer, and rational number.

Front

What is the difference between rational and irrational numbers?

Back

Rational numbers can be expressed as fractions, while irrational numbers cannot be expressed as fractions.