Question

Which measurement is the greatest between 6 km, 60 m, 600 cm, and 6,000 mm?

Answer 1

`6 " km"`

Explanation:

This is a metric prefix problem. Some of the metric prefixes are:

In this case, you have:

`=>6"km" = 6 xx10^3 "m" = 6000 "m"`
`=>60 "m"`
`=>600 "cm" = 600 xx 10^(-2) "m" = 6 "m"`
`=>6000 "mm" = 6000 xx 10^(-3) "m " = 6 "m"`

We see that the largest is `6000 "m"`, which corresponds to our `6 "km"`.

Answer 2

6 km

Explanation:

Let's convert all of these into one unit.

There are 10 cm in a mm. There would be 6000 (600 times 10) mm in 600 cm.

There are 100 cm in a meter, and 10 cm in a mm. Therefore, there are 1000 mm in a meter. 60 m is equal to 60,000 mm (1000 times 60).

There are 1000 m in a kilometer, 100 cm in a meter, and 10 cm in a mm. Therefore, there are 1,000,000 mm in a kilometer. 6 km is equal to 6,000,000 mm (1 million times 6).

Now compare the four side by side:
6,000,000 mm, 60,000 mm, 6,000 mm, and 6,000 mm.

The 6,000,000 mm (6 km) is the greatest (largest number).