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 ratio of two integers, where the denominator is not zero.

Front

What are Irrational Numbers?

Back

Irrational numbers cannot be expressed as a simple fraction; they have non-repeating, non-terminating decimal expansions, such as π and √2.

Front

What is the difference between Whole Numbers and Natural Numbers?

Back

Natural numbers are the set of positive integers starting from 1 (1, 2, 3,...), while whole numbers include all natural numbers plus 0 (0, 1, 2, 3,...).

Front

Are all integers rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

Front

What is the smallest subset of the Real Number System?

Back

The smallest subset is the set of Natural Numbers.

Front

Classify the number 0.75.

Back

0.75 is a rational number because it can be expressed as the fraction 3/4.

Front

What is a subset?

Back

A subset is a set that contains some or all elements of another set.

Front

Which of the following is NOT a rational number: √4, √2, 1/3, 5?

Back

√2 is NOT a rational number because it cannot be expressed as a fraction.

Front

What are the properties of the number 0 in the Real Number System?

Back

0 is an integer, a whole number, and a rational number, but it is not a natural number.