Question

What simplified ratio correctly compares 10,000 centimeters to 1000 meters? Drag and drop the appropriate numbers into the boxes

Answer 1

(10,000*10^-2 m) : (1000 m) = 100 : 1000 = 1 : 10

Answer 2

For this case, the first thing we must do is to have the same units for both measures.

We have then that by definition:

$1m = 100cm$

Therefore we have:

$10,000cm * (\frac {1m} {100cm}) = 100m$

Then, we look for the relationship between both measures:

$(\frac {100m} {1000m})$

Simplifying we have:

$(\frac {1m} {10m})$

Answer:

The simplified ratio that correctly compares 10,000 centimeters to 1000 meters is:

$(\frac {1m} {10m})$