The
distributive property in a given field combines multiplication with addition,
that is in a field F,
any elements a,b and c which
satisfy the following rule:
a(b+c)=ab+ac
The whole
numbers are a subset of the field R,
which is composed of all rational and irrational numbers, hence the whole
numbers satisfy this property. Therefore, if I wish to multiply 5 and 10, I can
split this down to simplify the problem (or simply highlight the logical
reasoning behind how long multiplication works.) To demonstrate:
5∗10=5∗(2+8)=5∗2+5∗8=10+40=50
