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Operations on Decimal Fractions-Dividing a Decimal Fraction by Counting Number

Concept of counting numbers is really important in the number system. Counting numbers refers to all positive numbers that are used for counting every single thing in daily life. Usage of counting numbers can be found everywhere whether it is for counting days, months, years, or things. While working with counting numbers, most of the time the process of “dividing a decimal fraction by counting number” plays a significant role in the number system.

Concept and definition of decimal fraction

Those fractions are referred to as decimal fractions whose denominator has power of ten. The power of denominator has to be either ten or multiples of ten such as hundred, thousand, or ten thousand. Relationship between a whole and a part is by the concept of fraction. The whole needs to be divided into such parts that have to be equal to the power of ten such as ten, hundred, and thousand.

An example of decimal fractions has been provided in this article for better understanding. If 8/10 has been taken as an example then 8 parts will be out of a total of 10 parts. According to process of converting a decimal into a fraction, denominator needs to be written down as the power of ten. Along with this, another important thing that needs to be kept in mind while converting a decimal into a fraction is total numbers of zeros will be counted as equal to the total number of the decimal places in the provided number. For example, 3.5 has to be written as 35/10, therefore, in this context 35/10 can be taken as the right format of a decimal fraction. In this portion of this article, a simple type of converting decimal into a fraction has been given, however, there are also different types of conversion.

Definition and concept of counting numbers

Number system refers to the way of presenting numbers with the help of both symbols and digits. Four types of number systems are there such as binary numbers, decimal numbers, hexadecimal numbers and octal numbers. A set of numbers that are used for counting anything are recognized as counting numbers. These need to be clear while working on counting numbers that “counting numbers” are “all-natural numbers”. Another important characteristic of “counting numbers” is that these numbers are always positive. Any positive number can be taken as an example of counting numbers, therefore, it can be 1 or 2 or 3 and so on.

Rules of “counting numbers”

Basic rules for “counting numbers” need to be known properly to conduct the process of “dividing decimal fraction by counting numbers”. Those few basic yet important rules for “counting numbers” such as:

  • “Zero” is not included in “counting numbers”
  • Fractions are also not included in the list of “counting numbers” such as 2/5, 8/10.
  • Negative numbers are also not included in the set of “counting numbers” such as -2, -5.
  • Decimals cannot be included in the list of “counting numbers” such as 0.75, 0.56.

These four important rules have to be kept in mind while proceeding with the process of “dividing decimal fraction by counting numbers”. If all of these rules for recognizing “counting numbers” will not be remembered properly then it will be really difficult to identify what are the real counting numbers. 

Examples of counting numbers 

Examples of “counting numbers” can be seen everywhere in daily life. “Counting numbers” are used for counting everything whether it is to count days, years and months or to count a few pens that are supposed to be divided among the students of a class. This article is going to give a few examples of “counting numbers” such as it can be used for counting days left for a special occasion. It can be also used for counting a total number of pens that a student has.  

Process of “dividing decimal fraction by counting numbers”

A few steps need to be implemented for “dividing decimal fraction by counting numbers”. According to the process of “dividing decimal fraction by counting numbers”, at first, the decimal point has to be placed directly in the portion of the quotient. Along with that, it has to be placed in place of a dividend exactly above the decimal point. Then a simple division method needs to be applied while “dividing decimal fraction by counting numbers”. This division process has to be continued until no remainder is found. In this case, Zeros have to be annexed if necessary.

Conclusion

It can be included that for counting everything the concept of counting numbers is important. Counting numbers has several strict characteristics such as it cannot be negative. Zero cannot be allowed in the list of counting numbers and so on. Therefore, it is really important to remember all of these characteristics even during the process of “dividing a decimal fraction by counting numbers”.

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Frequently Asked Questions

Get answers to the most common queries related to the SSC Examination Preparation.

What is the definition of counting numbers?

Ans : Counting numbers refer to a set of numbers that are generally used to count anything

What are the two characteristics of counting numbers?

Ans : There are several interesting characteristics of counting numbers and no characteristics among those can be ig...Read full

Are negative numbers recognized as counting numbers?

Ans : No, Negative numbers such as (-2), (-3) cannot be recognized as counting numbers.

How to “divide a decimal fraction by counting numbers”?

Ans : First, the decimal point needs to be placed in the place of the quotient and it has to be exactly above the pl...Read full