Q:

# the thickness of a deep dish pizza is approximately 2 x 10^-1 feet. the thickness of a thin crust pizza is approximately 5 x 10^-2 feet. how many times smaller is the thickness of a thin crust pizza compared to the thickness of a deep dish pizza?A. 0.25B.0.4C4D25

Accepted Solution

A:
The thickness of the deep dish can be evaluated by converting $$10^-^1$$ to a decimal.  $$10^-^1= \frac{1}{10}=0.1$$.  We multiply 2(0.1) and get 0.2 feet for the thickness of the deep dish pizza.
The thickness of the thin crust can be evaluated in a similar way.  $$10^-^2=0.01$$.  5(0.01) = 0.05 ft for the thin crust pizza.
We don't know how many times bigger the deep dish is, so that is our variable.  That gives us:
$$0.05x=0.2$$ (the thickness of the thin crust multiplied by an unknown factor equals the deep dish)
Divide both sides by 0.05:$$\frac {0.05x}{0.05}= \frac{0.2}{0.05} \\ x=4$$
The deep dish is 4 times bigger than the thin crust, which means the thin crust is 4 times smaller than the deep dish.