Properties Of Rational Numbers
Chapter Name : Rational Numbers |
Sub Topic Code : 104_08_01_02_08 |
Topic Name : Properties Of Rational Numbers |
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Sub Topic Name : Distributivity Of Multiplication Over Addition For Rational Numbers |
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Introduction
Sum of products or product of sums remain the same. In other words, the result of multiplication of two numbers remains unaltered if either of them is expressed as sum of any numbers and these numbers are multiplied individually to the 2nd number and added.
Pre-Requisites:
Basic knowledge about multiplication, addition and numbers
Activity:
From the learning aid activity, the area of the cardboard is equal to the sum of the areas of all the cardboard pieces together.
Real Life Question:
There are 10 apples in a basket. You put them in equally first in 2 baskets and then in 5. What is the total number of apples you have?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Distributive Property | A number being multiplied by another number can be distributed into smaller numbers and multiplied to obtain the same result. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Cardboard, scissors, scale | Calculate the area of the cardboard first. Cut the cardboard into rectangles of different lengths. Find individual areas. |
Real life uses :
Banks, stationary shops, markets, constructions
Practical examples around us
| Examples | Explainations |
|---|---|
| Storage areas | The entire store will be distributed with separate goods in separate areas. And follows an order. But, while taking the total no of goods into account, this order can be changed and same result will be obtained. |
What you learn in Theory:
An Intro into distributive property of whole numbers, integers and rational numbers.
What you learn in Practice:
This has many applications in higher maths and applied science. This topic throws light on the importance of the concept.