The Real Number System

Front

What is the Real Number System?

Back

The Real Number System includes all the numbers that can be found on the number line, including rational and irrational numbers.

Front

Define Rational Numbers.

Back

Rational numbers are numbers that can be expressed as a fraction or decimal that either terminates or continues forever in a repeating pattern.

Front

What are Irrational Numbers?

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction; they are non-repeating and non-terminating decimals.

Front

Classify the number 0.

Back

0 is classified as a Rational, Integer, and Whole number.

Front

What is a Whole Number?

Back

Whole numbers are non-negative numbers without fractions or decimals, including 0.

Front

What is a Natural Number?

Back

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

Front

Is every integer a rational number?

Back

Yes, every integer is a rational number because it can be expressed as a fraction with a denominator of 1.

Front

What is a terminating decimal?

Back

A terminating decimal is a decimal that has a finite number of digits after the decimal point.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal that has one or more digits that repeat infinitely.

Front

Classify the number 1.01011011101111....

Back

The number 1.01011011101111.... is classified as an Irrational number.