How do you convert decalitres into centilitres?

We received this question from a IMO customer yesterday and the email inquiry indicated the grade of the interested party to be in Grade 3. Here is the response provided by one of our math teachers. If you need further clarification, please email us at support@indianmathonline.com. [NOTE: the word "liter" is sometimes spelled "litre". If you were raised in the British system of education, it is not uncommon to use the spelling "liter"]

1 kilolitre = 1000 liters

1 hectolitre = 100 liters

1 decaliter = 10 liters

1 liter = Basic Unit of Volume

1 deciliter =  1/ 10th of a liter

1 centiliter = 1 /100th of a liter

1 milliliter = 1 / 1000th of a liter

The word Deca (the form used in deciliter) is derived from the Greek word “dekas”, which means group of ten.

Therefore 1 decaliter = 10 liters.

The word Centi (in centiliter) is derived from the Latin word “centum”,meaning "hundred". The mathematical meaning is “one hundred” or “hundredth part”.

Thus, we say 1 centiliter = 1/100^th of a liter.

Since 1 centiliter = 1/100^th of a liter, 100 centiliters make 1 liter.

Thus, we say1 liter = 100 centiliters.

We know that 1 decaliter = 10 liters

= 10 X 1 liter (10 times 1 liter is nothing but 10 liters )
= 10 X 100 centiliters ( since 1 liter = 100 centiliters )
= 1,000 centiliters

Therefore, 1 decaliter = 1,000 centiliters

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