NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

 

NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers provide you with a complete idea of the chapter and helps you solve all the exercises easily. This is the last chapter of the Class 8 Maths NCERT book. It includes topics like representation of numbers in general form, two-digit numbers, three-digit numbers, using letters for digits and test of divisibility (divisibility by 10, 5, 2, 9, 3). There are 2 exercises in this chapter whose stepwise solutions are provided by askIITians Maths experts for your conceptual understanding. 

 

Downloading NCERT Solutions for Class 8 Maths Playing with Numbers is beneficial for students because: 

• These solutions provide a step by step format for solving all the exercise questions of the chapter. 
• The solutions are prepared by askIITians Maths experts and hence are the best study material available online. 
• The solutions are based on the latest CBSE Class 8 Maths Syllabus and exam pattern. 

About NCERT Class 8 Maths Chapter 16 Playing with Numbers 

 

You have already studied what are natural numbers, whole numbers,

integers and rational numbers in earlier classes. In Class 8 Maths Chapter 16 Playing with Numbers, you are going to study more about these numbers. 

 

Writing numbers in general form: 

We find the general form of a number by adding the product of the digits with their place values.

1. General form of a two-digit number

Consider a two-digit number ab where a and b are the two digits of the number. The general form of ab is given by:

ab = a × 10 + b = 10a + b

Example:

23 = 2 x 10 + 3 = 20 + 3 

 

2. General form of a three digit number

Consider a three digit number abc where a, b and c are the three digits of the number. The general form of abc is given by: 

abc = 100 × a + 10 × b + c = 100a + 10b + c

Example:

325 = 100 x 3 + 10 x 2 + 5 

= 300 + 20 + 5

 

Divisibility test 

• Divisibility by 2: If the number ends with an even number i.e. 0, 2, 4, 6 and 8 then it will always be divisible by 2.
• Divisibility by 3: If the sum of all the digits of the given number is divisible by 3, then that number will also be divisible by 3.
• Divisibility by 4: If the last two digits of the number are divisible by 4 then that number will also be divisible by 4.
• Divisibility by 5: If the number ends with ‘0’ or ‘5’ then it will always be divisible by 5.
• Divisibility by 6: To be divisible by 3 a number must be divisible by 2 and 3 both. i.e. you need to check for the divisibility test of 2 and 3 with that number. Or you can say that a number must end with an even number and the sum of its digit should be divisible by 3 then that number will be divisible by 6.
• Divisibility by 7: To check if the number is divisible with 7 or not, we need to double the last digit of the number and then subtract the result from the rest of the digits and check whether the remainder is divisible by 7 or not. If the number of digits is very large then you need to repeat the process until you get the number which could be checked for the divisibility of 7.
• Divisibility by 8: If the last three digits form a number that is divisible by 8 then the whole number will be divisible by 8.
• Divisibility by 9: If the sum of all the digits of the given number is divisible by 9, then that number will also be divisible by 9.
• Divisibility by 10: If the number ends with zero then it will always be divisible by 10.

Download Free NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers 

Our NCERT Solutions for Playing with Numbers are a valuable guide for students of Class 8 Maths. The comprehensive format of these solutions helps in enhancing your conceptual understanding of the chapter. We have included proper reasoning wherever necessary to make it easier for you to understand the solutions. You can download exercise-wise solutions for NCERT Class 8 Maths Chapter 16 Playing with Numbers for free in pdf format from our website. 

 

NCERT Class 8 Maths Solutions for Chapter 16 Playing with Numbers Ex 16.1 

 

The first exercise of this chapter includes 10 questions. This exercise is based on topics like writing numbers in general form, reversing two-digit numbers, reversing three-digit numbers, forming three-digit numbers with the given three digits, and placing letters for digits. Check our detailed solutions for this exercise and revise all the concepts in no time. 

 

NCERT Class 8 Maths Solutions for Chapter 16 Playing with Numbers Ex 16.2 

 

The second exercise of this chapter includes 4 questions. This exercise is based on tests of divisibility. You must remember the different rules of divisibility if you want to solve the questions of this exercise correctly. In case you have any doubts, check our NCERT Solutions for this exercise.  

 

Important features of NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers:

• The solutions include answers for all the exercise questions of the chapter 
• The solutions are based on the latest CBSE Class 8 Maths syllabus and exam pattern 
• The solutions can be downloaded from the askIITians website for free in pdf format
• Students can study these solutions at any time and resolve their doubts independently 

NCERT Class 8 Maths Chapter 16 Playing with Numbers FAQs

 

1. How to score full marks in NCERT Class 8 Maths Chapter 16 Playing with Numbers? 

 

You can use mind maps and flashcards created by askIITians experts to memorise the concepts of this chapter. We have also created extra questions, NCERT Solutions and daily practice worksheets for the chapter along with revision notes for your complete exam preparation. 

 

2. How many questions are there in NCERT Class 8 Maths Chapter 16 Playing with Numbers? 

 

This chapter includes 2 exercises with 14 questions in total. There are 5 solved examples included in this chapter. 

 

3. What are the main topics included in NCERT Class 8 Maths Chapter 16 Playing with Numbers? 

 

The main topics of this chapter include representation of numbers in general form, two-digit numbers, three-digit numbers, using letters for digits and test of divisibility (divisibility by 10, 5, 2, 9, 3).