Question

how do you convert 11.5 miles to centimeters? show the process please!

Answer 1

do you have a "conversion factor" for miles to some other unit (not necessarily cm) ?

Answer 2

i not sure what that means?

Answer 3

Have you learned how many miles in a km ? or how many km in a mile ?

Answer 4

aren't there a thousand km in a mile

Answer 5

no. there is a thousand meters in a kilometer.

Answer 6

But let's use
1 mile = 1.609 kilometers

to convert
11.5 miles to km

one way to remember is to say: I want to "cancel" miles and replace with km

in algebra we would do
\[ mile \cdot \frac{km}{mile} \\ =\cancel{mile} \cdot \frac{km}{\cancel{mile} }= km
\]

Answer 7

we start with
1 mile = 1.609 kilometers

and write it as a ratio:
\[ \frac{ 1.609\ km}{1 \ mile} \]
notice we wrote it with km on top and mile in the bottom. now multiply
\[ 11.5\ mile \cdot \frac{ 1.609\ km}{1 \ mile} \]

Answer 8

we have mile in the top and bottom, so we cancel them
we are left with
\[ 11.5 \cdot 1.609 \ km\]
use a calculator to multiply the numbers.

we now have the number of km

Answer 9

how many km do we have ?

Answer 10

i don't need km i need it in cm sorry if i wasn't clear about that

Answer 11

Yes, but once we have it in km, we can change to meters and then into cm

Answer 12

how do i do that

Answer 13

first, how many km do we have ?

Answer 14

18.5 km

Answer 15

we probably want more digits. In fact, let's use all of them
18.5035 km

Answer 16

I told you up above, how many meters in 1 km ?

Answer 17

1000

Answer 18

yes. Because we are converting between units, get used to writing it *all out*
1000 m = 1 km

1000 meters is 1 kilometer

as a step to changing to cm, we will change to m (and then to cm)
we have 1000 m = 1 km

First, we write this as a ratio
we have 2 choices
\[ \frac{ 1000 \ m}{1 \ km} \\ \text{ or } \frac{1 \ km}{1000 \ m} \]
which ratio should we use
to change
18.5035 km
to m
?

Answer 19

remember we want m up top and km in the bottom (so it will cancel the other km)