Practice Flashcard: Subsets of Real Numbers

Front

Classify -5

Back

Integer and rational

Front

Classify the following: 0.04769165821735......

Back

Irrational

Front

Which subset contains decimals that can repeat?

Back

Rational

Front

What is the ONLY difference between natural numbers and whole numbers?

Back

Zero

Front

The set of natural numbers plus a '0': W = {0, 1, 2, 3,…}

Back

Whole Numbers

Front

Define Natural Numbers.

Back

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

Front

Define Whole Numbers.

Back

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

Front

Define Integers.

Back

Integers are the set of whole numbers and their negative counterparts: {..., -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.

Front

Define Irrational Numbers.

Back

Irrational numbers cannot be expressed as a simple fraction; their decimal representation is non-repeating and non-terminating.