# Converting Within the Metric System

Unlike other websites, YouTube videos, or all instructors based on comma shifting, this article focuses on logical converting.

Some conversion examples are detached from daily life and absurd, like converting 5.4 mm to decameters? But why? There's none of that in this article.

## Before we begin ;

• You need to know approximately how long a length measurement is. For instance, when you think of 1 meter, how long does it appear in your mind? What about 1 decimeter or centimeter?
• You should be well-acquainted with the submultiples and multiples of the meter, that is, the metric sequence. Which is larger, a decimeter or a centimeter? What is the next unit of measurement larger than a meter?
• Knowing the meanings of the names used in the metric system can facilitate your conversions. Understand well what the names signify. For instance, 'kilo' means 'thousand', and 'cent' stands for 1/100.
• In conversions, you may see units expressed in decimal notation, so be well-acquainted with decimal representations.

# Metric System

Kilo = Thousand
Hecto = Hundred
Deca = Ten
Deci = 1/10
Cent = 1/100
milim = 1/1000

## Popular Units

meter - centimeter - milimeter and kilometer

## Unpopuler Units

Hectometer - Decameter - Decimeter

# Examples

Kilo = 1000

## $$5km=....?metre$$

1 kilometer is 1000 m, so 5 km will make 5000 m

## $$3,5km=....?metre$$

$$3,5km=3km+\frac{5}{10}km$$

Given that 1 km is 1000 meters, 3 km is 3000 meters. What remains is 0.5 km, which can be thought of logically (like half of a thousand meters) or can be calculated.

## $$6,75km=....?metre$$

$$6,75km=6km+\frac{75}{100}km$$
6 km is 6000 meter
$$0,75km=\frac{75}{100}km=\frac{75}{100}.1000meter$$
$$0,75km=750meter$$
so result is $$6,75km=6750meter$$

## $$600meter=....?km$$

Given that 1 km is 1000 meters, it hasn't even reached a full km. So, the result should be something like 0._ _ _.
$$600meter=600.\frac{1}{1000}km=\frac{600}{1000}km=0.6km$$

## $$2800meter=....?km$$

2000 meters = 2 km, and what remains is 800 meters. How many km is 800 meters?
$$800meter=800.\frac{1}{1000}km=\frac{800}{1000}km=0.8km$$
We replaced 'meter' with '1/1000 of a km.

## $$120.86meter=....?km$$

Given that 1 km is 1000 meters, it hasn't even reached a full km. So, the result should be something like 0._ _ _.
$$120.86meter=120.86.\frac{1}{1000}km=\frac{120.86}{1000}km=0.12086km$$

cent = 1/100

100 cent = \$1

## $$9m=....?cm$$

1 meter is 100 cm so , 9 m is 900 cm .

## $$5.7m=....?cm$$

$$5.7m=5m+\frac{7}{10}m$$
5 meters is 500 cm, and what remains is 0.7 meters.

$$\frac{7}{10}m=\frac{7}{10}.m=\frac{7}{10}.100cm=70cm$$

so the result is ;

$$5.7m=500cm+70cm=570cm$$

## $$2.78m=....?cm$$

$$2.78m=2m+\frac{78}{100}m$$

2 meters is 200 cm, and what remains is 0.78 meters.

$$0.78m=\frac{78}{100}m=\frac{78}{100}.m=\frac{78}{100}.100cm=78cm$$
so the result is $$2.78m=278cm$$

## $$108cm=....?m$$

1 meter is 100 cm, and what remains is 8 cm .

$$8cm=8.cm=8.\frac{1}{100}.m=\frac{8}{100}m=0.08m$$
so the result is $$108cm=1.08m$$

## $$75,4 cm=....?m$$

Given that 1 m is 100 centimeters, it hasn't even reached a full m ( 100 cm ) . So, the result should be something like 0._ _ _.

$$75.4cm=75.4.cm=75.4.\frac{1}{100}.m=\frac{75.4}{100}m=0.754m$$

## $$12 cm=....?mm$$

1 cm is 10 mm so 12 cm = 120 mm

## $$3.5 cm=....?mm$$

1 centimeter is 10 mm, and what remains is 0.5 cm .

$$0.5cm=0.5.cm=0.5.10mm=5mm$$
so the result is $$3.5 cm=35mm$$

## $$4.58 cm=....?mm$$

1 centimeter is 10 mm, 4 cm is 40 mm and what remains is 0.58 cm

$$0.58cm=0.58.cm=0.58.10mm=5.8mm$$
so the result is  $$4.58cm=45.8 mm$$

## $$15mm=....?cm$$

1 centimeter is 10 mm, and what remains is 5mm.
the result should be something like 1, ___ cm

$$5mm=5.mm=5.\frac{1}{10}.cm=\frac{5}{10}cm=0.5cm$$
so the result is  $$15mm=1.5 cm$$

# Other Conversions

## km <<  >> cm

km >> m >> cm  or versus .

Progressing step by step will be easier for you. First, try to convert the units you don't know into the ones you are familiar with. Make sure to read the notes at the top of the page.