Subsets of Real Numbers

Front

What are integers?

Back

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

Front

Which set of numbers includes zero and natural numbers?

Back

Whole numbers include zero and all natural numbers (1, 2, 3, ...).

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero. Examples: 1/2, 3, -4.

Front

What is an irrational number?

Back

An irrational number cannot be expressed as a simple fraction. Its decimal representation goes on forever without repeating. Examples: √2, π.

Front

Classify the number 15.

Back

15 is a rational number, an integer, a whole number, and a natural number.

Front

What is the smallest value among 2.53, √5, 12/5, and 2 4/5?

Back

The smallest value is √5.

Front

How would you classify the number 0.242424... (0.24 repeating)?

Back

0.242424... is classified as a real number and a rational number.

Front

What are natural numbers?

Back

Natural numbers are the set of positive integers starting from 1. Examples: 1, 2, 3, ...

Front

What are whole numbers?

Back

Whole numbers are all natural numbers including zero. Examples: 0, 1, 2, 3, ...

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.