standard_description: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.
problem_activity: For each verbal expression below, write an algebraic expression.
a.   Four times the difference of 8 and
$$x$$
.
b.   Twice
$$m$$
increased by the square of
$$n$$
.
c.   The sum of 10 and the quotient of
$$x$$
and 4.
d.   The product of the square of
$$n$$
and
$$m$$
, subtracted from 5.


aligns: no