Question

Rolandas suitcase has a mass of 2,500 dekagrams.What is the mass of rolandas suitcase in kilograms.?

Answer 1

25 Kg

Explanation:

1 of kg = 100 dkg
Since a kilogram is a bigger unit mass than a dekagram fewer kilograms will equal the same mass as the 2,500 dekagrams.

`2500 dkg xx (1 kg)/(100 dkg) = 25 kg`

A good visual is to make a staircase of the metric system.
The biggest units are placed on the top left and the smaller units on the bottom left.

kg = 1000
......hkg = 100
..........dkg = 10
.................g = 1
....................dg =.1
.......................cg = .01
..........................mg = .001

To convert from one metric unit to another count how many steps on the staircase it takes to get from one level to the next and move the decimal point the same number of steps in the direction that were moved.

To go from dkg to kg. on the top is two steps to the left. So it necessary to move the decimal two places to the left to find the answer.

`2500. = 25.00` after moving the decimal two places left

Answer 2

`2,500 Dg div 100 = 25Kg`

Explanation:

You need to know the order of the prefixes of the units of the metric system.

`"Kilo Hecta Deca grams deci centi milli"`

TO convert from Decagrams to Kilograms you need to divide by `100`. The decimal point has to be moved two places to the left to change to `Kg`

A smaller unit has a larger number and a bigger unit has a smaller number.

`2,500 Dg div 100 = 25Kg`