Properties Of Division

Teaching division and its properties is an essential part of primary mathematics education. Understanding the properties of division helps students develop a strong foundation for mathematical reasoning and problem-solving skills.

This teaching guide is mainly designed for children aged 6 to 8 years. Prior to the properties of division, the child is introduced to the concept of division. It is a method of sharing things in groups equally. Division can be explained by using real-life examples of division (e.g., sharing toys, dividing pizza slices).

## Basic Division Properties are :

1. Property : Division By One

• If a number is divided by 1 the result is always the number itself.
• A / 1 = A or 5 / 1 = 5

2. Property : Division By Zero

• When any number is divided by 0 the answer is not defined.
• A / 0 = not defined or 5 / 0 = not defined

3. Property : Division By Itself

• If a number is divided by itself, the answer is always 1.
• A / A = 1 or 5 / 5 = 1

4. Property : Division By 10

• If any number is divided by 10, then always the remainder will be the digit at the ones place in the dividend.
• The quotient will be the remaining digits of the dividend.
• For example, 532 / 10 then Q = 53 and R = 2.

5. Property : Division By 100

• If any number is divided by 100, then always the remainder will be the digits at the ones and tens places in the dividend.
• The quotient will be the remaining digits on the left in the dividend.
• For example, 5325 / 100 then Q = 53 and R = 25.

Regular practise and application of these properties will help students develop fluency in division and enhance their mathematical problem-solving skills.

Posters

Teaching properties of division with kid-friendly, clear, and easy-to-understand posters from Uncle Math School by Fun2do Labs :

Stories

Ignite kids’ curiosity with engaging stories for role play and skits, making the learning of this concept an exciting and effective experience. Teaching properties of division through stories from Uncle Math School by Fun2Do Labs :

Text of Stories

Activities

Learning the properties of division can be made enjoyable by incorporating interactive games and activities.

### Sorting beans into an ice tray :

Kids divide large groups of objects into smaller equal groups. Sorting beans into an ice tray is one great way to understand the different properties of division. Activity can be performed in the following way :

1. Distribute ice trays and a fixed number of beans to kids.
2. Instruct kids to divide given beans by 1, 10, and by the number itself for a better understanding of division properties.

Worksheets

Help your kids practise the properties of division with interesting and engaging fun worksheets and solutions from Uncle Math by Fun2Do Labs.

Worksheet 578 : Properties Of Division
Solution 578 : Properties Of Division