The
distributive property in a given field combines multiplication with addition,
that is in a field <span>F<span>,
any elements <span><span><span>a<span>,b</span></span> and </span><span>c which
satisfy the following rule:</span></span></span></span>
<span>a(b+c<span>)=</span><span>ab</span>+<span>ac</span></span>
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<span>The whole
numbers are a subset of the field </span><span>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:</span>
<span>5∗10=5∗(2+8<span>)=</span>5∗2+5∗8=10+40=50</span>
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