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 a rational number.

Back

A rational number is any number that can be expressed as a fraction a/b, where a and b are integers and b is not zero.

Front

Define an irrational number.

Back

An irrational number is a number that cannot be expressed as a simple fraction; it is a non-repeating, non-terminating decimal.

Front

What is a terminating decimal?

Back

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

Front

What is a non-terminating decimal?

Back

A non-terminating decimal is a decimal number that goes on forever without repeating.

Front

Classify the number 0.75.

Back

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

Front

Classify the number √2.

Back

√2 is an irrational number because it cannot be expressed as a fraction.

Front

What is the difference between whole numbers and integers?

Back

Whole numbers are non-negative numbers (0, 1, 2, ...), while integers include all whole numbers and their negative counterparts (..., -2, -1, 0, 1, 2, ...).

Front

Is the number -3 a rational number?

Back

Yes, -3 is a rational number because it can be expressed as -3/1.

Front

What is the classification of the number 5?

Back

5 is a counting number, whole number, integer, rational number, and real number.