Question

Michael has a tug-of-war rope that is 15 meters long. How many centimeters long is the rope?

Answer 1

`15 m = 15 xx 100 = 1500cm`

Explanation:

"cent" refers to 100. (century = 100 years, 100c = $1)
A 'centenarian' reaches 100 years old.

In the SI or metric system, there are 100 centimeters in 1 metre.

If you change a number to a smaller unit, the number gets bigger.

`15 m = 15 xx 100 = 1500cm`

Answer 2

`color(green)("15 metres = 1500 centimetres")`

Explanation:

It takes 100 centimetres to make 1 metres

`color(brown)("Expressing this as a ration we have:")`

`("centimetres")/("metres") ->100/1 -=("? centimetres")/15`

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(brown)("Multiply by 1 and you do not change the value. However, 1 comes in")` `color(brown)("many forms.")`

`("centimetres")/("metres") ->(100/1color(magenta)(xx1)) -=("? centimetres")/15`

`("centimetres")/("metres") ->(100/1color(magenta)(xx15/15)) =("? centimetres")/15=1500/15`

`color(green)("So 15 metres = 1500 centimetres")`