Question

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. 0.25
B.0.4
C4
D25

Answer 1

The thickness of the deep dish can be evaluated by converting
`10^-^1` to a decimal.
`10^-^1= (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}= (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.