Metric system help? I don't understand it! ex: 43 centimeters=.00056 kilograms.Can someone please explain this stuff to me??   1) 43 cm=____mm 2)721 km=____m3)45.2 mg=____hg4)2 liters=_____hg5)5.2...

Metric system help? I don't understand it! ex: 43 centimeters=.00056 kilograms.

Can someone please explain this stuff to me??


1) 43 cm=____mm

2)721 km=____m

3)45.2 mg=____hg

4)2 liters=_____hg

5)5.2 cl=_____l

6)3.1 km=_____cm

7).67 mg=______g

8).009 km=______m

9)5.42 g=______hg

10)4 decimeters=______decimeters

11).0003 kl=______ml

12)9,031 mm=________hm

Expert Answers
ndnordic eNotes educator| Certified Educator

The metric system, actually the SI system when used in science, is based on a combination of base units and prefixes.  For example, the base units for mass are grams (g), for volume liters (l), and for distance meters (m). The prefixes tell you how the size of the base units has changed. They are like exponents telling you which way to move the decimal point and how many places.

For example, the prefix "c" means centi - or 1/100.  To change meters to centimeters you multiply by 100 (move the decimal two places  to the right). To change centimeters to meters you divide by 100 or move the decimal two places to the left.  Thus, 100 cm = 1 m and 1 cm = 0.01 m.

The same is true for the other common prefixes such as milli (m), micro (u), deci (d) and kilo (k).

a milliliter is 1/1000th of a liter, a millimeter is 1/1000 th of a meter, etc.

A microgram is 1/1,000,000 th of a gram.

A kilometer is 1000 meters.

A deciliter is 1/10th of a liter.

By knowing the common prefixes and their meanings you can easily make any conversions between two different units.

crmhaske eNotes educator| Certified Educator

1. 1cm = 10mm
43cm = 43*10 = 430mm

2. 1km = 1000m
721km = 721*1000 = 721000m

3.  1hg = 100000mg
45.2mg = 45.2/100000 = 0.000452hg

4. 1 L = 1000 g (of water) = 10 hg
2L = 2*10 = 20 hg

5. 1 cL = 0.01 L
5.2 cL = 5.2*0.01 = 0.0052L

6. 1km = 1000m = 100000cm
3.1km = 3.1*100000 = 310000cm

7. 1mg = 0.001 g
67 mg = 67*0.001 = 0.067 g

8. 1km = 1000m
0.009km = 0.009*1000 = 9m

9. 1g = .01hg
5.42g = 5.42*0.01 = 0.0542hg

10. Is redundant, it is asking for dm = dm ?

11. 1 kl = 1000 ml
0.0003kl = 0.0003*1000 = 0.3mL

12. 1mm = 0.00001hm
9031mm = 9031* = 0.09031hm

krishna-agrawala | Student

There is some confusion in the example of conversion of metric system given in the question that is:

43 centimeters = 0.00056 kilograms

Centimeter is a unit of length and kilogram a unit of mass. These two do not have any standard conversion ratio. However in specific cases an object with some par of it measuring 43 centimeter may weigh 0.00056 kilograms.

In general cases we can convert one unit in to another only when both the unit measure the same characteristics.

However I am giving below a general discussion of conversion in metric system followed by answers to the conversions required in the question.

Metric system is a decimal system. This means that each unit is 10 times larger or smaller than the next unit for the same characteristic.

Thus the basic unit for length is meter. The next bigger unit for length is decameter that is equal to 10 meters and the next smaller one is decimeter, which is equal to 1/10th of a meter.

The basic unit of length in metric system is meter and that for mass is gram.  Another unit in metric system is liter which is used for measuring volume. In this way there are many basic units measuring different variables. The other bigger or smaller units used are represented by standard prefixes attached to the basic unit. These prefixes and their corresponding values are listed below.

Prefix      Value Represented      Examples

Kilo               1000                      Kilogram (Kg), Kilometer (Km)

Hecto             100                      Hectogram (Hg), Hectometer (Hm)

Deca                10                      Decagram (Dg), Dacameter (Dm)

Deci               1/10                    Decigram (dg), Decimeter (dm)

Centi             1/100                  Centigram (cg), Centimeter (cm)

Milli                1/1000                Milligram (mg), Millimeter (mm)

Answers to the conversions required in the question:

1) 43 cm = 430 mm
2) 721 km = 721000 m
3) 45.2 mg = 0.000452 hg (Hectograms)
4) 2 liters =_____hg

Liters and hg (Hectograms) measure two different characteristics. Therefore there is no standard conversion between them
5) 5.2 cl =0.052 l (liters)
6) 3.1 km = 310000 cm
7) .67 mg= 0.00067 g
8) .009 km = 9 m
9) 5.42 g = 0.0542 hg (hectogram)
10) 4 decimeters = 4 decimeters
11).0003 kl = 300 ml
12) 9,031 mm= 0.09031 hm (hectometer)

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