Courses

Courses for Kids

Free study material

Store

Talk to our experts

1800-120-456-456

Easy Learning with RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers

Q: 1. If the number 1246 is divided by 13, find the quotient and remainder?

Dividend = pq + r1246 = 13 × 95 + 11Quotient = 85Remainder = 11

Q: 2. Check the divisibility of 1254670 by 9?

The sum of the digits of 1254670 is 1+2+5+4+6+7+0 = 25.This number is divisible by 9 ( 25 is not divisible by 9).Hence, 1254670 is not divisible by 9.

Q: 3. If 20z5 is a multiple of 3, where z is a digit, what might be the values of z?

Given, 20z5 is a multiple of 3.As per the divisibility rule of 3, the sum of all the digits should be a multiple of 3.That is, 2 + 0 + z + 5 = 7 + zTherefore, 7 + z is a multiple of 3.This is possible when the value of 9 + z is any of the values: 0, 3, 6, 9, 12, 15, and so on.At z = 0, 7 + z = 7 + 0 = 7At z = 1, 7+ z = 7 + 1 = 8 At z = 2, 7 + z = 7 + 2 = 9At z = 11, 7 + 11 = 7 + 11 = 18Hence 2 or 11 can be the possible answers for z.

RS Aggarwal Solutions

Easy Learning with RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers

Download RS Aggarwal Solutions Class 8 Solutions Chapter 5 in PDF

Isn't it quite fascinating that no matter how much you play with the number you tend to get one or the other answer which might be correct or might not be! But the fun you have while solving these is really unpredictable. Similarly, RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers makes this chapter more than just playing with numbers! It makes the students of Class 8 realize the importance of the numbers and how these numbers can eventually be played in the right way to get your desired answers.

The Quickest Way to Prepare and Revise Playing with Numbers

Download the pdf form of RS Aggarwal Class 8 Solutions Chapter 5 from the official website of Vedantu. The quickest way to revise is to get the pdf version of RS Aggarwal Class 8 Solutions Chapter 5, which is very convenient to use. You can easily download the RS Aggarwal Class 8 Solutions Chapter 5 pdf version that can also be used offline.

All the Exercise questions with solutions in Chapter-5 Playing with Numbers are given below:

RS Aggarwal Solutions Class 8 Solutions Chapter 5

General Form of Numbers

If a two-digit number XY needs to be represented in general form, then

xy = 10x + y

Playing with 2 – Digit and 3 – Digit Numbers

Numbers in General Form

The two digit number(xy) is written as xy = (10x ) + (1y) in its general form.

The three-digit number (xyz) is written as xyz = (100x) + (10y )+ z in its general form.

Reversing The 2 Digit Numbers And Adding Them

When you reverse a two-digit number and add with the number, the resulting number will be divisible by 11 and the sum of the digits will be the quotient.

For eg: The reverse of 24 is 42.

The sum of 24 and 42 = 66

On dividing the sum by 11, we get 66/11 = 6 = 2+4.

Reversing The 2 Digit Numbers And Subtracting Them

When you reverse the two-digit numbers, the difference between the larger number f from the smaller number is divisible by 9, and the difference in the number of digits will be quotient.

For example, the reverse of the number 36 is 63.

Now, 63 > 36

So, 63 – 36 = 27

On dividing the difference of the two numbers by 9, we get, 27/9 = 3 = 6−3

Reversing The 3 Digit Numbers And Subtracting Them

When you reverse a three-digit number and the differences between the smaller number, and the larger number is perfectly divisible by 99, the difference between the first and third digit of the selected number will be the quotient.

For example, the reverse of 142 is 241.

Now, 241 > 142.

241 – 142 = 99

Now,99/99 = 1 = 2 – 1

Taking All The Combinations of 3 Digit Numbers And Adding Them

When any combinations of a three-digit number are taken, and you add them together, then the resulting number will be perfectly divisible by 111

Let us take 153.

The various numbers that can be formed using the digits of 153 are 153, 135, 315, 531, 513 and 351.

The sum of 153, 135, 315, 531, 513, and 351 is 1998.

Now,1998/111 = 18

Divisibility Rules

Divisibility by 10

When the units digit of a number is 0 then the number is said to be divisible by 10.

For Instance, 1420 is divisible by 10. 133 is not divisible by 10 because it has 3 in its units place.

Divisibility by 5

When the units digit of a number is either 0 or 5 then it is said to be divisible by 5.

For instance, 155 is divisible by 5, but 122 is not divisible by 5.

Divisibility by 2

When the units digit of a number is either 2,4,6,8,0, it is divisible by 2.

For example, 12, 14, 78 are divisible by 2, but 33, 43, 55 are not.

Divisibility by 3

When the digits' sum is divisible by 3 , then the number is said to be divisible by 3.

For eg:The sum of digits of 159= 1 + 5 + 9 = 15, which is divisible by 3. So, 159 is divisible by 3.

The sum of digits of 166 = 1 + 6 + 6 = 13, which is not divisible by 3. So, 166 is not divisible by 3.

Divisibility by 9

When the sum of the digits is divisible by 9 , then the number is said to be divisible by 9.

For example, the sum of digits of 177 = 1+ 7 + 7 = 15, which is not divisible by 9. So, 177 is not divisible by 9.

The sum of digits of 693= 6 + 9 + 3 = 18, which is divisible by 9. So, 693 is divisible by 9.

Preparation Tips for RS Aggarwal Solutions Class 8 Ch 5

Understand the example very well, which will help you to understand the pattern in the numbers.
Note down the different divisibility rules of the numbers which are crucial for solving problems of playing with numbers Class 8 Maths Chapter 5 Playing with Numbers.
Practice all the sums of Class 8 Maths RS Aggarwal chapter 5, ensuring you understand all the theories related to numbers.

Perks of using the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers:

There are a variety of perks when it comes to accessing the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers via Vedantu and these include the following:

Along with helping you understand the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers, Vedantu experts make sure that each and every concept and doubt that you have been cleared off well.
If there is any question you find difficult in our Vedantu subject matter then our experts will also provide an alternate solution that will help you solve the questions within seconds.

Studying Playing With Numbers Chapter 5 will become a lot easier for the students of Class 8. The experts have formulated the solutions using simpler steps so that you can understand the basic concepts easily and can implement them during an exam.Download this PDF file today and make your study material complete.

FAQs on Easy Learning with RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers

1. If the number 1246 is divided by 13, find the quotient and remainder?

Dividend = pq + r

1246 = 13 × 95 + 11

Quotient = 85

Remainder = 11

2. Check the divisibility of 1254670 by 9?

The sum of the digits of 1254670 is 1+2+5+4+6+7+0 = 25.

This number is divisible by 9 ( 25 is not divisible by 9).

Hence, 1254670 is not divisible by 9.

3. If 20z5 is a multiple of 3, where z is a digit, what might be the values of z?

Given, 20z5 is a multiple of 3.

As per the divisibility rule of 3, the sum of all the digits should be a multiple of 3.

That is, 2 + 0 + z + 5 = 7 + z

Therefore, 7 + z is a multiple of 3.

This is possible when the value of 9 + z is any of the values: 0, 3, 6, 9, 12, 15, and so on.

At z = 0, 7 + z = 7 + 0 = 7

At z = 1, 7+ z = 7 + 1 = 8

At z = 2, 7 + z = 7 + 2 = 9

At z = 11, 7 + 11 = 7 + 11 = 18

Hence 2 or 11 can be the possible answers for z.

4. What are the topics of importance that are covered within the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers?

There are various topics of importance that are covered within the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers and include the following:

1. General Form of 2-Digit and 3-Digit Numbers:

This section helps the students understand how the two digits and three-digit numbers can be written in various forms and the answers that it produces as a result of the same.

2. Divisibility Test:

Each of the numbers has a divisible number and there are numbers that cannot be divisible and need to be converted. All of this is properly explained through the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers with proper examples.

5. What are the exercises involved in the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers and how do they play an important role in studying?

There are 4 exercises with a number of questions being mentioned and they include the following:

Exercise 5A of RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers has a total of six word problems where you will be needed to find out the number when the sum or difference of a set of numbers is given to you
Exercise 5B consists of the divisibility test and has a total of fifteen questions being involved.
Exercise 5C has a total of 14 questions which is based on the concept where each letter is represented by a number and you are supposed to find the answer to a combination of letters.
The last exercise that is the exercise 5D will consist of the same concept as given in 5C but here you will have the division of numbers rather than addition and subtraction.

6. Is it possible to access RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers PDF offline?

RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers is now available via Vedantu that too in a PDF format which means that easy availability and downloading can be done. This RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers PDF once downloaded can be used whenever and wherever you want. It means you can save your time to open the site and check the PDF.

7. Does it cost very much to get the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers?

No, it does not cost even a single dime to access the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers via Vedantu as it is completely free of cost for each of the students who wish to access it. Similarly, teachers need not worry as they can also check out these solutions for free and help their students to understand the concepts well. Hence both the teachers and the students can stay on the same wavelength while understanding the concepts. This also helps teachers grade the students on the basis of answers written from RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers.

8. Is chapter 5 Playing with Numbers an important one considering the Class 8 exams?

Yes, it is one of the most important chapters when it comes to your Class 8 exams. Not skipping the chapter and understating the concept well is also of high importance. IF you are worried that there is no one to help you out you need not worry as we at Vedantu will ensure that not only do you get the concepts cleared but will also get the best of marks in the class. All you need to do is refer to the RS Aggarwal Class 8 Mathematics Solutions for Chapter-5 Playing with Numbers and get your concepts cleared by asking the experts who are ever-ready to help you with your studies.