Multiplying A Monomial By A Monomial
Chapter Name : Algebraic Expressions And Identities |
Sub Topic Code : 104_08_09_07_02 |
Topic Name : Multiplying A Monomial By A Monomial |
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Sub Topic Name : Multiplying Three Or More Monomials |
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Introduction
To multiply three monomials, first multiply two monomials & then multiply that with the third monomial
Pre-Requisites:
Terms, coefficients, factors and variables of an algebraic expression
Activity:
Say you intend to paint your drawing room. You want paints of different patterns on one of the walls, meaning you need to use different types. Total cost of painting the wall = (Area) x (1/2 paint1) x (1/2 paint2) = (12) x (a/2) x (b/2). Try it out! Make your own patterns & calculate the cost on your own!
Real Life Question:
If you want to distribute chocolate boxes to retailers in the city, then you would need the no. of boxes, no, of shops, cost of each chocolate etc.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Multiplying of three or more monomials | Multiply 1st two monomials-the coefficients & variables and obtain product. Multiply the coefficient & variables with the coefficient & variable of the 3rd monomial. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Green colored boxes & green beads | You want to match them up. If the green boxes are represented by variable ‘x’ & green beads by variable ‘y’, the total no. of green objects are xy (multiplication of x & y) |
Real life uses :
Plane tickets: You want to purchase flight ticket; No. of customers(x), No. of planes at different timings (n,t) , No. of companies(y). All of this involves many monomials. Powers may depend on the number.
Places to visit :
Grocery stores, Supermarkets
Practical examples around us
| Examples | Explainations |
|---|---|
| Fries, cold drinks & burgers | Each of them representing a single variable, if you took 3 fries, 4 cold drinks & 2 burgers, total cost would be 3x + 4y + 2z. If this combination is to be served to every table with 3 people, then ‘t’ representing the no. of such tables, overall cost will be , (t) x (3x + 4y + 2z) |
What you learn in Theory:
How to multiply three or more monomials
What you learn in Practice:
That different variables & the number of each of them is often met in situations. We would need to multiply multiple monomials there