Understanding Real Numbers

Front

What are Real Numbers?

Back

Real Numbers are the union of both rational and irrational numbers. They can be positive or negative and include counting numbers, fractions, decimals, radicals, and pi (π).

Front

What are Natural Numbers?

Back

Natural numbers are the set of counting numbers {1, 2, 3, 4, 5, 6, ...}. They are a subset of whole numbers.

Front

What are Whole Numbers?

Back

Whole numbers are the set of natural numbers along with zero {0, 1, 2, 3, 4, 5, 6, ...}.

Front

What are Integers?

Back

Integers are the set of all natural numbers, their negatives, and zero {...-4, -3, -2, -1, 0, 1, 2, 3, 4, ....}.

Front

What are Rational Numbers?

Back

Rational numbers can be expressed as a ratio (fraction) between two integers, where the denominator is not zero. They include integers, terminating decimals, and repeating decimals.

Front

What are Irrational Numbers?

Back

Irrational numbers cannot be written as a ratio (fraction). They include decimals that never end nor repeat, such as π.

Front

Are there numbers that are not Real Numbers?

Back

Yes, Complex Numbers include Real Numbers and other numbers like imaginary numbers (i) and complex numbers (a + bi).

Front

What are Imaginary Numbers?

Back

Imaginary numbers include the imaginary unit i (square root of -1) and numbers of the form bi, where b is not zero.