The Real Number System

Front

What are Natural Numbers?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on. They do not include zero or negative numbers.

Front

What are Whole Numbers?

Back

Whole numbers are the set of non-negative integers, including zero. They are 0, 1, 2, 3, and so on.

Front

What are Integers?

Back

Integers are the set of whole numbers that include positive numbers, negative numbers, and zero. Examples: -3, -2, -1, 0, 1, 2, 3.

Front

What are Rational Numbers?

Back

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Examples: 1/2, 3, -4.

Front

What is the relationship between Whole Numbers and Rational Numbers?

Back

All whole numbers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

Can a number be both an Integer and a Rational Number?

Back

Yes, all integers are also rational numbers because they can be expressed as a fraction (e.g., 5 can be written as 5/1).

Front

Is 0 a Whole Number?

Back

Yes, 0 is a whole number and it is also a rational number.

Front

Classify the number 3. What categories does it belong to?

Back

3 is a Natural number, Whole number, Integer, and Rational number.

Front

Classify the number -5. What categories does it belong to?

Back

-5 is an Integer and a Rational number.

Front

Is the statement 'All Integers are Whole Numbers' true or false?

Back

False. While all whole numbers are integers, not all integers are whole numbers (e.g., -1 is an integer but not a whole number).