82 Multiplication and Division
- Show at least one situation where you can say that
(ab)/c=a(b/c)
where a, b, and c are integers. Do not use the trivial case a= 1, b= 1, and c= 1. Find
something more interesting! - Suppose you have learned the left-hand distributive law for multiplication over
addition, but you have never heard about the right-hand version. Show that for any
three integers n, m, andp, the right-hand distributive law for multiplication over
addition will always work:
(m+n)p=mp+np
Use the narrative form, not an S/R table. - Construct an S/R table showing that for any two integers d and g
−(d+g)=−d−g - Prove that when you want to find the negative of the subtraction of one quantity from
another, you can simply switch the order of the subtraction. To do this, put together an
S/R table showing that for any two integers h and k
−(h−k)=k−h