Question

Delilah used `"250 m"` of crepe paper for decorations. How many dekameters of crepe paper did she use?

Answer 1

Delilah used `"25 dam"` of crepe paper.

Explanation:

Use dimensional analysis.

Write how dekameters (dam) and meters are related.

`"1 dam"` `=` `"10 m"`

We can use this equality to make two conversion factors.

`"1 dam"/"10 m"` and `"10 m"/"1 dam"`

Multiply the `"250 m"` by the conversion factor with meters in the denominator. This will cancel meters and leave dekameters.

`250color(red)cancel(color(black)("m"))xx("1 dam")/(10color(red)cancel(color(black)("m")))="25 dam"`