Representing Half

in Educationlast year

Hi there. In this math education post, I cover the concept of half.

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  • Half As Two Equal Parts Of A Whole
  • Taking Half Of Numbers
  • Equivalent Fractions To A Half
  • Percents To Represent Half
  • Decimals To Represent Half


Half As Two Equal Parts Of A Whole

I think one of the best ways to understand the concept of a half is through a picture. Consider a big round cake. Taking half of a cake or any object involves splitting it into two equal pieces and then take one of the two pieces.


Mathisfun Drawing Tool Screenshot


Taking Half Of Numbers

When it comes to taking half of a number, think of it as something plus itself to get that number. Half of 20 is 10 as 10 plus 10 gives the twenty. Half of eight is four as 4 + 4 is 8.

The examples so far have dealt with taking half of even numbers. Taking half of odd numbers is a bit more tricky. Odd numbers contain one plus an even number. Consider the number five where it is 1 + 4. Half of four is two and half of one is half. Half of 5 is 2 and a half which can be written as 2 1/2.


  • Fifty is half of 100.

  • Half of 15 is 7 and a half.

  • Half of 2000 is 1000.

  • 12 and a half is half of 25.


Equivalent Fractions To A Half

There are multiple ways to represent half in fractions form. The basic representation for half is 1/2. With the use of equivalent fractions half can be represented in other ways.

Half can be represented as 2 out of 4 or two fourths. This is from cutting a whole cake into 4 equal pieces and taking two of the four.



Mathisfun Drawing Tool Screenshot 2


Another representation of half is 4 eighths. This is taking 4 from 8 equal pieces of the whole.


Other representations of half includes these fractions.


Percents To Represent Half

Fractions can be related to percents. One percent is 1 out of 100 which is 1/100 as a fraction.

Half is one out of two. What is the percentage for half if half is 1 out of 2? With the usage of equivalent fractions, the equivalent fraction for 1 out of 2 is 50 out of 100. Multiply the top and bottom by 50 on one half. This 50 out of 100 is 50% which is for one half.


Decimals To Represent Half

The value of a half can be represented as a decimal number. Convert the fraction of a half to an equivalent fraction that has a 10, 100, 1000, etc. in its denominator. Note that one tenth is 0.1 which is from 1/10. One hundredth is 1/100 which has a decimal form of 0.01.


Expressing half as 0.5 is a common and simple decimal form. You could add more zeroes behind the five but it is not needed. Here is how 0.50 is converted from 1/2.


You could also express half as 0.500.

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Thank you for reading.


hola saludos, buenísimo le sirvió a mi hijo para sus practicas cotidianas de matemática. gracias