# NCERT solutions for Class 8 Maths Chapter 16 - Playing with Numbers

## NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers

Maths is all about the numbers and in that subject we can simply play with the numbers.  NCERT Class 8 Maths Chapter 16 Playing with Numbers is a very interesting chapter. In this, we are not going to really learn any theoretical concept or we are not going to solve any algebraic equation. In this, we are going to learn about some nice mathematical tricks. The important topics in  CBSE grade 8 Maths Chapter 16 Playing with Numbers are tests of divisibility like divisibility by 10, 5 ,2, 9 and 3, numbers in general form, letters for digits etc.

In  Class 8 Chapter 16 Playing with Numbers, we deal with numbers in general form, games with numbers and also deal with puzzles on arithmetic problems in which letters take place of digit. To strengthen the foundation of the Maths subject and also to develop an interest it must develop the ability to play with the numbers. Sometimes students face problems while solving exercises of NCERT book. So, to help the students and clear their doubts the NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers are prepared and explained by the experts.

Let’s take an example of games with numbers- two friends Meenakshi and Sundaram play a game Minakshi asks Sundaram to think a two-digit number and then-

In NCERT Class 8 Maths Chapter 16 Playing with Numbers, there are 2 exercises with 14 questions. In exercises problems like finding the missing term in the number and problems based on divisibility tests are there.

## Topics of NCERT Class 8 Maths Chapter 16 Playing with Numbers-

• 16.1 Introduction
• 16.2 Numbers in General Form
• 16.3 Games with Numbers
• 16.4 Letters for Digits
• 16.5 Tests of Divisibility

## Here is an example question from NCERT Class 8 Maths Chapter 16 Playing with Numbers

1. Which of the following is divisible by 3

i) 313

ii)3163

iii) 3162

iv)31626

solution: A number is divisible by three if the sum of the digits if the number is divisible by three. Checking one by one

i) 313

the sum of digits=3+1+3=7 which is not divisible by 3. So 313 is not divisible by 3

ii) 3163

the sum of digits=3+1+6+3=13 which is not divisible by 3. So 3163 is not divisible by 3

iii)3162

the sum of digits=3+1+6+2=12 which is divisible by 3. So 3162 is divisible by 3

iv)31626

the sum of digits=3+1+6+2+6=18 which is divisible by 3. So 31626 is divisible by 3

## NCERT Solutions For Class 8 Maths- Chapter-wise

 Chapter -1 Chapter -2 Linear Equations in One Variable Chapter-3 Understanding Quadrilaterals Chapter-4 Practical Geometry Chapter-5 Data Handling Chapter-6 Squares and Square Roots Chapter-7 Cubes and Cube Roots Chapter-8 Comparing Quantities Chapter-9 Algebraic Expressions and Identities Chapter-10 Visualizing Solid Shapes Chapter-11 Mensuration Chapter-12 Exponents and Powers Chapter-13 Direct and Inverse Proportions Chapter-14 Factorization Chapter-15 Introduction to Graphs