Real Number System and Ordering

Front

What is a real number?

Back

A real number is any number that can be found on the number line, including both rational and irrational numbers.

Front

Define rational number.

Back

A rational number is any number that can be expressed as the quotient or fraction 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

What is a natural number?

Back

Natural numbers are the set of positive integers starting from 1, 2, 3, and so on.

Front

What is a whole number?

Back

Whole numbers are all natural numbers including zero (0, 1, 2, 3, ...).

Front

What is the difference between natural numbers and whole numbers?

Back

Natural numbers start from 1, while whole numbers include 0.

Front

What is a repeating decimal?

Back

A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits indefinitely.

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

How do you order numbers from least to greatest?

Back

To order numbers from least to greatest, compare their values and arrange them in ascending order.

Front

What is the square root of 16?

Back

The square root of 16 is 4, which is a rational number.