Numbers
Natural numbers
Description and properties of natural numbers.
Whole numbers
Description and properties of integers.
Rational numbers
Description and properties of rational numbers. Working with periodic numbers, converting a periodic number to a rational number.
Irrational numbers
Description and properties of irrational numbers. Open-ended questions.
Real numbers
Description and properties of real numbers.
Algebraic numbers
Complex numbers
Complex numbers come into play where ordinary numbers are already losing their breath, for example, in subtracting negative numbers. In this article, you will learn what form complex numbers can be written in, what operations we can perform on them, and what their geometric meaning is.
Euler's number
Divisibility
How do we find out if a whole number is divisible by two without remainder?
Prime Numbers
The basic theorem of arithmetic
The fundamental theorem of arithmetic tells us that any natural number greater than 1 can be uniquely decomposed into a product of prime numbers
Conversions of systems
Converting from decimal to binary and back again
Quantities
Basic concepts about powers, followed by an explanation of what to do when we encounter a negative exponent or exponent in a fraction. Part of the chapter is devoted to square roots, although square roots are again just ordinary powers. There are also special cases you may encounter when counting with fractions and patterns.
Interest
What is interest, what is the difference between interest and interest rate, how to calculate simple and compound interest. Links to external tools.
Interval
What is an interval anyway, how do we use it in common speech, how do we use it in mathematics. Describe closed and open intervals, show how to work with intervals as sets.
Infinity
Completing the square
Least common multiple
The greatest common divisor
Commutativity
An operation is commutative if the order of the operands does not matter