Representing Half

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

Math text rendered in LaTeX (lay-tech) with QuickLatex.com.

Pixabay Image Source

Topics

---

• 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.

Examples

• 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.

Pixabay Image Source

Thank you for reading.