# NCERT Solutions for Class 8 Maths Chapter 16 : Playing With Numbers

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## Chapter 16 : Playing With Numbers

### 16.1 Introduction

You have studied various types of numbers such as natural numbers, whole numbers, integers and rational numbers. You have also studied a number of interesting properties about them. In Class VI, we explored finding factors and multiples and the relationships among them.

In this chapter, we will explore numbers in more detail. These ideas help in justifying tests of divisibility.

### 16.3 Games With Numbers

(i) Reversing the digits – two digit number

Minakshi asks Sundaram to think of a 2-digit number, and then to do whatever she asks him to do, to that number. Their conversation is shown in the following figure. Study the figure carefully before reading on.

### 16.4 Letters For Digits

Here we have puzzles in which letters take the place of digits in an arithmetic ‘sum’, and the problem is to find out which letter represents which digit; so it is like cracking a code. Here we stick to problems of addition and multiplication.

### 16.5 Tests Of Divisibility

In Class VI, you learnt how to check divisibility by the following divisors.
10, 5, 2, 3, 6, 4, 8, 9, 11.
You would have found the tests easy to do, but you may have wondered at the same time why they work. Now, in this chapter, we shall go into the “why” aspect of the above.

### Smartur

Learning is (Super) rewarding!