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. This includes rational numbers (like integers and fractions) and irrational numbers (like √2 and π).

Front

Define Rational Numbers.

Back

Rational numbers are numbers that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

Define Irrational Numbers.

Back

Irrational numbers are numbers that cannot be expressed as a simple fraction. Their decimal expansions are non-repeating and non-terminating.

Front

What is an Integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What is a Whole Number?

Back

Whole numbers are non-negative integers, including zero. Examples are 0, 1, 2, 3, etc.

Front

Classify the number 0.5.

Back

Rational, as it can be expressed as 1/2.

Front

Classify the number -3.

Back

Integer, Rational, Real.

Front

Classify the number √3.

Back

Irrational, Real.

Front

Is the number 4.2 an integer?

Back

No, 4.2 is not an integer.

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.