Wednesday, February 6, 2013

Metric Calculator


Metric number line is one of the important topics on the metric number system in mathematics subject. The quantities used to find lengths, capacities, weights of things etc are called measures. Many Countries have their own system of measures. But Metric System of measures is very simple and easy To calculate. Hence most countries in the world use Metric System of measures.

In Metric System,

  • Length’s basic unit is metre(m)
  • Weight’s basic unit is gram(g)
  • Capacity‘s basic unit is litre(l)


And Another name of metric system is decimal system.

I like to share this Metric Unit Converter with you all through my article.

Explanations of the Metric Number Line:
  • The metric system is used in all the places of the world, because of its superior basis metric units are linked to each other by factor of 10.
  • So while we convert one metric unit to another, we have to move the decimal point in the unique value.
  • These metric number lines give us an easy way to do these unit conversions.
metric number line

Metric units Names and Abbreviations are given below:
  • Centi-meter = cm
  • Milli-meter = mm
  • Kilo-meter = km
  • Mega meter = Mm
  • Decimeter = dm
  • Dekameter = dam
  • Hectometer = hm
  • Micrometer = mcm
  • Meter = m
  • Liter = L
  • Grams = g
  • Volt = v
The above names of units are important. And those all units are different like meter is length, liter is volume, gram is mass or weight.

Metric Number Line Units:
  • In number line we can forever multiply the unit by a factor of 10.
  • Let us make the number line and use unit as the basic unit.
  • Then we can use the metric number line for all units.
  • The unit could be decigrams, deciliters, decimeters, decivolts, etc…
Example figure for metric number line:
metric number line


Ex :  Convert dekagrams (dag) to centigrams (cg) :

metric number line

The above figure represents the example of converting metric numbers from line, here we have to choose the start point to end with stop point. Here we note two things, there is

1. Direction and,

2. The number of points necessary to move to get the stop point.

Then we have to make the decimal changes into the original number consequently.

For the above number line, we have to move three places to the right direction.

metric number line

For ex it can be 4.5 dekagram means; it could be changed into 4500 cg. Because of moved three places to right direction.

Having problem with What is Geometric Mean Read my upcoming post, i will try to help you.
 
These all are the metric number line details.

Metric Calculator - Conversion Tables and Examples:

In decimal system  to concert a higher value into lower value then we need to multiply it by powers of ten and to convert lower value into a higher value then we need to divide the number by ten.

Let us discuss about linear measure  like measures of length,weight,capacity.

Length-Conversion Table:
10mm1cm
10cm1dm
10dm1m
10m1dam
10dam1hm
10hm1km
100cm1m
1000m1km



Weight - Conversion Table:
10mg1cg
10cg1dg
10dg1g
10g1dag
10dag1hg
10hg1kg
1000mg1g
1000g1kg
100kg1quintal(q)
1000kg1 tonne(ton)



Capacity / Volume :- Conversion Table:
10ml1cl
10cl1dl
10dl1l
10l1dal
10dal1hl
10hl1kl



Ex 1 : Convert 4 km into lower units.

Sol:

4 km = 40 hm (4 × 10) = 4 × 101 hm

= 400 dam (4 × 100) = 4 × 102 dam

= 4000 m (4 × 1000) = 4 × 103 m

=40000 dm (4 × 10000) = 4 × 104 dm

= 400000 cm (4 × 100000) = 4 × 105 cm

= 4000000 mm (4 × 1000000) = 4 × 106 mm

Ex 2: Express 1267547 mm into higher units.

Sol:


12675477 mm   = 126754.7cm[1267547/10]  =1267547 x 10-1 cm

=12675.47dm[1267547/100] =1267547 x 10-2 dm

= 1267.547m[1267547/1000] =1267547 x 10-3 m

=126.7547dam[12.6754]/10000  = 1267547 x 104 dam

=12.67547hm[1267547/100000]  =1267547 x 10-5 hm

=1.267547km[1267547/1000000] =1267547 x 10-6 km

Ex 3: Convert 7m into millimeter.

Sol:

We know that ,

1m =1000mm

Therefore ,7m  = 7*1000mm

=7000mm

Ex 4: Express 10kg5dag in grams

Sol:


We know that,

1kg   =1000g

1dag =10g

Therefore, 10kg5dag = 10 *1000g +5 *10g

=10000g +50g

=10050g

Understanding very hard math problems is always challenging for me but thanks to all math help websites to help me out.

Practice problem to help with metric calculation:

1)Convert 6m into millimetre.

Ans: 6000mm

2)Express 2769 g in kilograms.

Ans: 2.769 kg

3)Convert 25 kl 37 l into litres.

Ans: 25037 l

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