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 an integer.

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio 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 4.2.

Back

4.2 is a rational number because it can be expressed as 42/10.

Front

Classify the number -4.2.

Back

-4.2 is a rational number because it can be expressed as -42/10.

Front

Classify the number 4/3.

Back

4/3 is a rational number because it is a fraction of two integers.

Front

Is 0 a whole number?

Back

Yes, 0 is considered a whole number.

Front

Classify the number -78.

Back

-78 is an integer, a rational number, and a real number.

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.