Santiago is trying to show his teacher why the product of two rational numbers is another rational number. His first steps are shown. Which is the best method Santiago
could use to continue?
Let m, n, p, and a represent integers.
By definition, and
are both rational
CLEAR
CHECK
Test with m = 1, n = 2.p = 3, and q = 4. Since and are
both rational, it is clear that the statement is true.
mx P = mxp
n 9 nxa
Show that mp and ng are both integers.
mx P = mxp
n 9 nxo
Since is rational and is rational, then
rational.
n
9
X
n
must be
9
Show that and are all integers.