Real Numbers System

Front

What are the subsets of real numbers?

Back

The subsets of real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

Front

What are natural numbers?

Back

Natural numbers are the set of positive counting numbers: 1, 2, 3, 4, ...

Front

What are whole numbers?

Back

Whole numbers are the set of natural numbers including zero: 0, 1, 2, 3, 4, ...

Front

What are integers?

Back

Integers are the set of whole numbers and their negative counterparts: ..., -3, -2, -1, 0, 1, 2, 3, ...

Front

How can you classify the number -1/3?

Back

-1/3 is classified as a rational number because it can be expressed as a fraction of two integers.

Front

How can you classify the number 17/10?

Back

17/10 is classified as a rational number because it can be expressed as a fraction of two integers.

Front

What is the difference between rational and irrational numbers?

Back

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

Front

What is the significance of the number zero in the number system?

Back

Zero is considered a whole number and serves as the additive identity in the number system.