Real Number System

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

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 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 Whole Number?

Back

A Whole Number is a non-negative integer, which includes zero and all positive integers.

Front

What is a Natural Number?

Back

A Natural Number is a positive integer starting from 1 and going upwards (1, 2, 3, ...).

Front

Are all integers rational numbers?

Back

Yes, all integers are rational numbers because they can be expressed as a fraction with a denominator of 1.

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

Is every whole number a natural number?

Back

No, while all natural numbers are whole numbers, not all whole numbers are natural numbers (e.g., 0 is a whole number but not a natural number).

Front

What is the relationship between rational and real numbers?

Back

All rational numbers are real numbers, but not all real numbers are rational (irrational numbers are also real).

Front

Which of the following is NOT a subset of rational numbers?

Back

Irrational Numbers are NOT a subset of rational numbers.