Comparing Real Numbers

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 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 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

Classify the number -78.

Back

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

Front

Back

Front

List all categories that -3 could fit into.

Back

-3 fits into the categories of integer and rational.

Front

Classify the number 1,378,472,706.

Back

1,378,472,706 is a natural number, whole number, integer, rational number, and real number.

Front

Back

Front

What is the difference between natural numbers and whole numbers?

Back

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