Lowest Common Multiple (LCM)

READ THE LESSON.

GO THROUGH EXAMPLE VIDEO AND

 LET US FIND ANSWER THE QUESTION BELOW

POST YOUR ANSWER BY COMMENTS.

Lowest Common Multiple 

(LCM)

Carefully consider the following numbers that are divisible by 8 and by 12.

Numbers divisible by 8 (i. e. multiples of 8) :

8, 16, 24, 32, 40, 48, 56, 64, 72, …

Numbers divisible by 12 (i. e. multiples of 12) :

12, 24, 36, 48, 60, 72, 84, ….

Here the numbers 24, 48, 72, .. are the common multiples of 8 and 12. 24 is the smallest or the lowest of them all. 

Thus, 24 is the smallest or the lowest common multiple or LCM of  8 and 12.

·       Note that the LCM of relative prime numbers is the product of those numbers. 

Examples:

  Find the LCM :

 65, 39

Greatest Common Divisor (GCD)

READ THE LESSON.

GO THROUGH EXAMPLE VIDEO AND

 LET US FIND ANSWER THE QUESTION BELOW

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Greatest Common Divisor (GCD)

let us consider the divisors of 84 and 48.

Divisors of 84 : 1 , 2 , 3 , 4 , 6 , 7 , 12 , 14 , 21 , 28 , 42, 84

Divisors of 48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

We find that the underlined factors 1, 2, 3, 4, 6, 12 are present in both groups. They are called common divisors.

Of these common divisors 1, 2, 3, 4, 6, 12 the biggest divisor is 12.

 It is called the greatest common divisor or the GCD for short. It is also called highest common factor or HCF.

view the examples:

Find the GCD :

 120, 96

MATHSEASYWAY FLASHCARDS

Work at your pace through these 

colorful flashcards to learn Mathematics in a fun-filled way!

• Study at your own pace, when you want, as much as you want

• More than 1000 flashcards for primary school students

• Designed for children in 3 years -15 years age group, Junior KG to 8th

• Would be useful for parents, teachers, students, and tutors

• 
  

The workbooks have been carefully and beautifully

 designed by us.

This is an introductory course designed for students

 right from Junior KG to Class 8th.

Here you can work through more than 1000 colorful flashcards

 to understand basic concepts in Mathematics in a fun-filled way.

 Regular books contain a limited number of examples. 

Here you will get a lot of examples. 

Enroll in Maths course

What makes these workbooks unique?

• Colourful pictures
• Colouring pages for kids
• Counting with pictures

Why should you enroll in this course:

• Course is structured to bring Mathematics to you through interesting examples and exercise - you learn the best when you are having fun
• Mathematics concepts, without making it a burden
• This course is specifically designed for students and parents of students, from Junio KG to Grade 5th

What’s in the course:

• Recorded classes which can be downloaded
• Study material/ workbooks which will be provided in PDF format

Course outline:

• Basic Maths skills
• Mind math
• Numbers fun
• Geometry kids
• Tables
• Multiply and divisions
• Addition and subtractions
• Sample pages
• Time
• Money
• Fractions
• Counting
• Algebra
• Geometry

Indices

CHAPTER 8.

Indices

               Consider 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2. Here , the multiplication of the number 2 by itself is shown by writing it nine times. 

This multiplication is written as 2⁹. The number ‘2⁹’ is as exponential number .

           2⁹  is read as ‘ 2 raised to power 9’ or ‘2 to the power 9’ or ‘2 raised to 9’.

            

In the number 2⁹ , 2 is called the based of the number and 9 is called the index or exponent.

	Multiplication form	Index form	Base	Index
1.	7 × 7 × 7	73	7	3
2.	3 × 3 × 3 × 3 × 3	35	3	5
3.	9 × 9	92	9	2
4.	2 × 2 × 2 × 2 × 2 × 2	26	2	6
5.	1 × 1 × 1 × 1 × 1	15	1	5

Example : study the following table :  

2³  = 2 × 2 × 2

2² = 2 × 2

2¹ = 2

2³ is read as the third power of two or the cube of two.

2² is read as the second power of two or the square of two.

2 ¹ = 2, i.e. the first power of a number is equal to the number itself. Therefore, if the index of a number is 1, it is the custom not write it.

       

 For example, 5 is the same as 5¹, 10 means 10¹, etc.

MATHSEASYWAY FLASHCARDS

Work at your pace through these 

colorful flashcards to learn Mathematics in a fun-filled way!

• Study at your own pace, when you want, as much as you want

• More than 1000 flashcards for primary school students

• Designed for children in 3 years -15 years age group, Junior KG to 8th

• Would be useful for parents, teachers, students, and tutors

• 
  

The workbooks have been carefully and beautifully

 designed by us.

This is an introductory course designed for students

 right from Junior KG to Class 8th.

Here you can work through more than 1000 colorful flashcards

 to understand basic concepts in Mathematics in a fun-filled way.

 Regular books contain a limited number of examples. 

Here you will get a lot of examples. 

Enroll in Maths course

What makes these workbooks unique?

• Colourful pictures
• Colouring pages for kids
• Counting with pictures

Why should you enroll in this course:

• Course is structured to bring Mathematics to you through interesting examples and exercise - you learn the best when you are having fun
• Mathematics concepts, without making it a burden
• This course is specifically designed for students and parents of students, from Junio KG to Grade 5th

What’s in the course:

• Recorded classes which can be downloaded
• Study material/ workbooks which will be provided in PDF format

Course outline:

• Basic Maths skills
• Mind math
• Numbers fun
• Geometry kids
• Tables
• Multiply and divisions
• Addition and subtractions
• Sample pages
• Time
• Money
• Fractions
• Counting
• Algebra
• Geometry

Profit and Loss

Profit and Loss

          

What are profit and loss?

let us discuss it here.

Shopkeepers, traders, fruit-sellers, greengrocers, 

hawkers purchase goods and sell them to customers. 

Let us suppose that a shopkeeper purchased a bicycle for Rs 1200 and sold it to a customer for Rs 1300.

points to remember

* When we buy something we pay the cost of that thing.

* The price for which an article is purchased, is called the cost price or cost of the article.

Here, the cost price of the bicycle is Rs 1200

* The price for which an article is sold is called the selling price of the article.

Here, the selling price of the bicycle is Rs 1300.

points to remember

* If the selling price is more than the cost price, we say that the seller has made a profit.

* Profit is calculated by subtracting the cost price from the selling price.

∴ Profit = selling price – cost price

In the example above there was a profit of 1300 – 1200 = Rs 100.

* If the selling price is less than the cost price, we say that the seller incurred a loss.

* Loss is calculated by subtracting the selling price from the cost price.

∴ Loss = cost price – selling price