8.2 Understand Real Numbers System

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; its decimal representation goes on forever without repeating.

Front

Classify the number 0.478123123123123123123...

Back

Rational, because it can be expressed as a fraction.

Front

What are the subsets of real numbers?

Back

Natural Numbers, Whole Numbers, Integers, Rational Numbers, and Irrational Numbers.

Front

What is a natural number?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3, ...).

Front

What is a whole number?

Back

Whole numbers are all natural numbers including zero (0, 1, 2, 3, ...).

Front

What is an integer?

Back

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

Front

Are all integers rational numbers?

Back

True, because any integer can be expressed as a fraction with a denominator of 1.

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.

Front

What type of number is 3?

Back

Natural, whole, integer, and rational.