Math Foundations/4

Subtraction and Division
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Review

 * Natural numbers: ticks
 * Operators: addition, multiplication
 * Number theory: factors, perfect squares, primes, composite numbers,

Subtraction
Subtraction is the inverse of addition.

$$k = n - m \iff k + m = n$$

Note: This is only defined if $$ n>m $$.

Laws of Subtraction

 * n - (m + k) = (n - m) - k
 * n + (m - k) = (n + m) - k
 * n - (m - k) = (n - m) + k
 * n (m - k) = nm - nk
 * (n - m)k = nk - mk

Division
The inverse of multiplication