### Theory:

When multiplying or dividing a monomial by a number, the coefficient of a given monomial is multiplied or divided, but the variable factors remain the same.
Example:
1) Multiply the monomial $$2a$$ by $$8$$
$2a\cdot 8=2\cdot 8a=16a$
($$2$$ oranges times $$8$$ is $$16$$ oranges)

2) Divide the monomial $$14b$$ by $$7$$
$14b:7=\left(14:7\right)b=2b$
(if $$14$$ bananas are divided equally between $$7$$ people, each person will have $$2$$ bananas)

3) Divide the monomial c by $$10$$
$c:10=\left(1:10\right)c=\frac{1}{10}c=0,1c$
($$1$$ lemon divided by $$10$$ is $$1$$ tenth of a lemon)