In everyday life, they are unlikely to operate with the words “centner”, “hectare”, “pound”. But sometimes you need to translate the weight into other units or calculate it in them. A simple scheme of actions will help.
What is a centner
This word came from the German language and means literally "one hundred measures." It came from the Latin centum - one hundred. A reference was a bag of potatoes, which weighs a centner. But he was different in different provinces of Germany:
- In Bavaria - 56 kilograms.
- In Saxony - 51.4 kilograms.
- In Braunschweig - 46.77 kilograms.
Later in this country they took the average value of a centner, 50 kilograms.
When trade began to develop, especially along the sea routes, it became necessary to bring all measures of weight in different countries to one system. To do this, there are conversion tables from one dimension to another.
- A metric, or double, centner is 100 pounds, as in Austria, Spain, France and Portugal. It is equal to 100 kilograms.
- In Russia, a centner is equal to 100 kilograms. This is one tenth of a ton.
- Centner in England, Germany, Switzerland, Hungary and Denmark is equal to 50 kilograms. This is an ordinary centner.
In the metric system, where the meter is the standard for measuring length, the weight of one millionth cubic meter of water (grams) is taken as the standard for measuring mass. A sample of 1000 grams is called a kilogram, specially cast from iridium and platinum and stored in Paris. And in 1885, seventeen countries founded the International Bureau of Weights and Measures.
The following measures have been taken in the SI system:
- A centner is one hundred kilograms.
- A kilogram is a thousand grams.
- A ton is a thousand kilograms.
How to convert centners to kilograms
To convert centners to kilograms, the amount of something in centners should be multiplied by one hundred. It seems simple if the number of centners is an integer. And if not?
Examples:
- 1 kg = 1 x 100 kg = 100 kg.
- 1.3 kg = 1.3 x 100 kg = 130 kg.
- 0.4 kg = 0.4 x 100 kg = 40 kg.
For simplicity, you can select a centner separately, then the conversion formula from a centner to kilograms will look like this:
- A c = A x 1 c = A x 100 kg,
Where A is a number (integer or fractional, decimal or not).
How much in 1 ton
- Centners - 10.
- Kilograms - 1000.
- Grams - 1,000,000.
The word "ton" in Latin meant a barrel. Just like with the centner, tons were different. But in the SI system it is accepted that there are 10 centners per ton.
To convert centners to tons, you should divide the amount of anything in centners by ten.
Examples:
- 1 q = 1/10 = 0.1 t.
- 1.3 q = 1.3 / 10 = 0.13 t.
- 0.4 q = 0.4 / 10 = 0.04 t.
The formula for the conversion from centner to tons:
- A c = A x 0, 1 t = A / 10 t,
Where A is a number.
How to translate to centners
In centners translate kilograms, grams and tons.
1. Kilograms: To convert kilograms to centners, the amount of something in kilograms should be divided by one hundred.
Examples:
- 10 kg = 10/100 c = 0.1 c.
- 100 kg = 100/100 kg = 1 kg
- 653 kg = 653/100 c = 6.53 c.
- 1 kg = 1/100 c = 0.01 c.
- 1.3 kg = 1.3 / 100 c = 0.013 c.
- 0.4 kg = 0.4 / 100 c = 0.004 c.
The conversion formula from kilograms to centners:
A kg = A / 0.01 c = A / 100 c.
2. Grams: To convert grams to centners, the amount of something in grams should be divided by one hundred thousand.
Examples:
- 10 grams = 10/100 000 c = 0.00001 c.
- 100 grams = 100/100 000 c = 0.0001 c.
- 653 grams = 653 / 100,000 cts = 0,000653 cts
- 1 gram = 1 / 100,000 c = 0.000001 c
- 1.3 grams = 1.3 / 100,000 c. = 0.0000013 c.
- 0.4 grams = 0.4 / 100,000 cts = 0.0000004 cts.
Gram to centner translation formula:
A g = A x 0, 00001 c = A / 100 000 c
3. Tons: To convert tons to centners, multiply the amount of anything in tons by ten.
Examples:
- 10 t = 10 x 10 c = 100 c.
- 100 t = 100 x 10 c = 1000 c.
- 653 t = 653 x 10 c = 6530 c.
- 1 t = 1 x 10 c = 10 c.
- 1.3 t = 1.3 x 10 c = 130 c.
- 0.4 t = 0.4 x 10 c = 4 c.
The conversion formula from tons to centners:
A t = A x 10 c.
Weight Measure Translation Instructions
For ease of calculation, translation rules can be tabulated.
how to translate | in grams | in kilograms | to centners | in tons |
grams | - | / 1,000 | / 100,000 | / 1,000,000 |
kilograms | x 1,000 | - | / 100 | / 1,000 |
centners | x 100,000 | x 100 | - | / 100 |
tons | x 1,000,000 | x 1000 | x10 | - |
How to use the table:
In the leftmost column, we find the measure of weight that needs to be transferred to another. The top row shows the column names. These are instructions in what measure we translate.
Examples:
1. Given 15.6 centners. We must translate this weight into kilograms.
- Solution: We define “centners” in the leftmost column, in the top row we look for what we need to translate into “kilograms”, at the intersection we see - we need to multiply by one hundred. Therefore: 15.6 x 100 = 1560. Since they were converted into kilograms, we put “kg”.
2. Given 450 grams. It should be converted to tons.
- Solution: We determine the weight in a given measure - grams. We are looking at the top line for the measure in which we need to translate it into “tons”, at the intersection we see: it should be divided by a million. Therefore: 450 / 1,000,000 = 0,00045 t.
3. Given 14.25 kilograms. It should be converted to centners and tons.
Solution: We are looking in the left column for what is given - “kilograms”. Then in the top line we find “centners”, at the intersection we see what needs to be divided by one hundred. Therefore: 14.25 / 100 = 0.1425 c. In the same way we find "in tons" - we see what needs to be divided by a thousand. Therefore: 14.25 / 1000 = 0.01425 t.
In order not to confuse the lines, for example, not to translate tons into grams, you should start from the leftmost column. Then pay attention to the top line. It is no coincidence that there is the pretext “in”. This will help to make a choice.
We translate in a single measure
Sometimes you have to add, subtract, compare values expressed by different weight measures. In this case, they lead to one measure.
Examples:
1. Given: Compare a quarter centner and a quarter ton.
Solution: for starters, we bring everything to one measure. For example, to the centners. It is necessary to transfer a quarter of a ton into them. In the line “tons” we look for the intersection with the column “centners”, we see that we need to multiply by ten. 1/4 t x 10 = 27.5 c. Compare: 1/4 q and 1/4 t = ¼ q and 27.5 q = 0.25 q and 27.5 q. It is clear that the second quantity is greater.
With a little practice, you can learn how to quickly transfer one measure of weight to another. But you still have to learn how many grams, kilograms, centners per ton. And remember that a centner is one hundred kilograms.