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Concise Mathematics Class 6 ICSE Solutions for Chapter 9 - Playing with Numbers

ICSE

Concise Mathematics Class 6 ICSE Solutions for Chapter 9 - Playing with Numbers

ICSE Class 6 Mathematics Chapter 9 Selina Concise Solutions - Free PDF Download

In Playing with Numbers, we will learn about numbers in their normal, general, and expanded forms. Concepts covered in Playing with Numbers are Concept for Co-prime Numbers, Prime Factorisation, Concept of Even and Odd Number, Factors and Multiples, Introduction of Playing with Numbers, Simplification of Expression by Using Brackets. This chapter also discusses the divisibility tests for numbers 2, 3, 5, 9, and 11. The Selina Concise Maths Class 6 Solutions Chapter 9 Playing with Numbers are designed to give maximum information to students preparing for the board examinations. The questions are answered in a step-by-step and simple way. Students can easily understand the concepts underlying the solutions by going through them. This not only helps them by giving them the confidence to answer all types of questions in exams, but it also ensures that they learn the concepts in the long run. The ICSE Maths Class 6 Chapter 9 Solutions PDF focuses on answering questions appropriately in order to motivate students to score full marks in the examination.

Selina Concise Maths Class 6 Solutions Chapter 9

The concept of the number of a number can be explained as the order of its factors. As in the case of an ordinary number we could say the number of 5 is 10 (or 5,10). However, when it comes to prime numbers the concept of the number of the number cannot be explained by simple explanation.

In order to understand the prime factorization of numbers, we would have to introduce a few concepts which we had already discussed in one of the previous chapters. However, before we take a step further we have to clear a few things which are going to come in the way of our understanding. The following few paragraphs will be a short explanation of some basics of prime factorization, prime number theory, number theory, and simple prime factors.

A number of a number may seem like a simple concept to understand but it’s actually quite a complex one. The simple explanation is that in order to number the number you must divide the number into two sets. The set which contains all the factors of the number in it. Let’s see an example to make it a little clearer.

Consider a number 8 =2*2*2. We know that 2 is the smallest number in the set which contains all the factors of 8 in it. This set is made up of 2,4,8.

However, the number 3 =3*3 is not in the set as it is not divisible by 3. Since a number is divisible by 3 if its highest power of 3 is greater than 1 we would say that 3 is the odd number. That is a number which cannot be written as a multiple of 3. However, in order to count the number we cannot ignore 3 as we have to count 3.

It can also be expressed as the product of all the factors of the number. Let’s see an example.

3 is the number of number 25 =5*5*5

The set of factors of the number 25 =5*5*5 can be expressed as 5,10,25

The set of factors of the number 25 =5*5*5 is made up of 5,10,25

Thus, 25 is the number because of the products of all the factors of 25 =5*5*5

Note: The numbers we discussed in this section will only be the prime factors and not the composite factors which you can find out from the factorization rule. A composite number is any number which has factors other than 1 or it can be also said as an integer which cannot be divided into prime factors.

Prime Factor of a Number

All the prime factors of the number are also called the prime factorization. A number can be represented in many ways to show the prime factors.

It’s not necessary that all the prime factors are put in the form of a product of their prime factors but it is not considered to be wrong. The most common way to write the prime factorization is to use the product sign “*”.

Let’s get started with the prime factors of numbers!

Numbers, What do We Mean by ‘Number’?

The number is anything which has no beginning and no ending. In mathematics, we say that a number is the whole unit which can not be broken down into smaller units. Number is a unit of measurement. Anything can be represented as a number, for example, we can say that 2*3 is a number because there is no zero (which is the base) so that 2 times 3 is a number but it is just one unit so it can not be broken down into smaller units and hence it is a number. The number is the set of digits that the number consists of.

Any number can be represented as a number sequence. The sequence is the set of numbers that we enter to get the desired number. For example, if we want to represent the number 1, we can represent the number 1 by entering digits in the order 1,2,3,4,5,6,7,8,9,0

A number can be represented by anyway to make the digit of the number sequence in a non-decimal way. There are many ways to do this.

If the number is written as a decimal, we write it as a sequence of 0,1,2,3,4,5,6,7,8,9. But sometimes it is required to represent the number in a different way like in English, it is written as 123456.

FAQs on Concise Mathematics Class 6 ICSE Solutions for Chapter 9 - Playing with Numbers

1. What is there in the chapter Mathematics Class 6 ICSE Playing with numbers?

Playing with numbers is a fundamental chapter in Class 6 Mathematics which is all about the application of multiplication and division of numbers with other numbers. When a number is exactly divisible by any other number, then the number dividing it is a factor. While multiple, as the name suggests is a product, of number and any other number except zero. This chapter teaches about divisibility and improves fastness while doing mathematics.

2. Is Playing with Numbers an important chapter?

Yes, Factors and multiples is a chapter which helps students in solving large digit number multiplications and divisions in less time. Also, it is a chapter which enables students to calculate mentally thereby improving their ability to solve sums in various chapters which require calculations. At Vedantu, we provide various questions and revision notes to students as it is essential for one to have a good practice before the main exam.

3. Where can I find solutions for Class 6 Playing with Numbers?

Mathematics is everywhere around us but starts basically from numbers. It has a lot in depth which are slowly taught at higher levels of education. Particularly, this chapter is all about multiplication and division where students might make silly mistakes. Don't worry because at Vedantu, we provide solutions to various chapters to students as it is essential for one to have a good practice before the main exam. Also, you can get them in PDF format with expert answers at our app or website.

4. Is Class 6 Mathematics tough?

Mathematics in Class 6 is a subject which has 10-12 chapters which mainly cover basics of algebra, geometry, linear equations and so on. Students find it a little difficult due to the variation from primary education to secondary. Also students are posed essay questions in a slightly twisted way to enhance their mental ability. Hence, initially students might face problems with mathematics but remember that it is the foundation to all the higher levels of education one may pursue. Timely revisions would be of great help.

5. How to revise Mathematics?

Mathematics isn’t a subject that can be memorized, whereas it is one such subject that requires conceptual understanding to solve problems and score well in exams. Solving different types of problems in the same concept would benefit students at a later date. Practice daily and for detailed notes, keywords that’ll be handy, students can join us at Vedantu app for live doubt clarification session.

6. Why should I refer Vedantu to Selina Concise Mathematics Class 6 Solutions Chapter 9?

This platform provides top-notch content for Mathematics which has a few of the best Mathematics teachers in the country. So, when students refer to Selina Concise Mathematics Class 6 Solutions Chapter 9, they are provided with an expert solution by a few premier Mathematics teachers.

7. How important is ICSE Mathematics Class 6 Solutions Chapter 9?

Great command of the numbers and their properties allows students to figure out complex problems. In Playing with Numbers, we will learn about numbers in their normal, general, and expanded forms. Concepts covered in Playing with Numbers are Concept for Co-prime Numbers, Prime Factorisation, Concept of Even and Odd Number, Factors and Multiples, Introduction of Playing with Numbers, Simplification of Expression by Using Brackets. These are stepping stone concepts for higher degrees.

8. How do I get the free Selina Concise Maths Class 6 Solutions Chapter 9?

Students can download the free PDF of Selina Concise Maths Class 6 Solutions Chapter 9 on Vedantu’s website which provides free PDF on different topics of Mathematics. The Selina Concise Maths Class 6 Solutions Chapter 9 will provide them with a professional study plan that will allow them to enjoy learning the subject and help them perform better in the examinations.