# NCERT Solutions Class 8 Maths Chapter 16 Exercise 16.2

The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 based on “Playing with Numbers,” includes all the information surrounding numbers and how they can be split by other numbers. Numerous numbers are used in the study of mathematics. They act as the essential building blocks for almost all mathematical operations and ideas. Therefore, it is crucial to gain a full understanding of numbers and their properties. By practising NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, students will become familiar with numbers, their properties, and divisibility tests.

Problems involving analysis based on finding digits in arithmetic operations are contained in the chapter Playing with Numbers and are  part of NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2. Ten questions constitute these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, which provide a step-by-step understanding of this chapter. Short answer questions in the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, provide a comprehensive study of numbers utilising fundamental arithmetic methods.

An engaging way to learn the fundamentals of Mathematics is to find digits for letters in number puzzles. This information is explained with suitable examples in the detailed reference materials, NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2. Students can learn and practise the various types of problems with the aid of NCERT Solutions Class 8 Maths Chapter 16 Exercise 16.2, which are accessible on the Extramarks website and mobile application. The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 go into great detail about numbers in general form, their features, and divisibility tests. The majority of these answers introduce numbers, number forms, games, letters for numbers, and tests of number divisibility. However, they also cover a wide range of topics.

The essential structure of number subsets will be better understood with the help of Extramarks’ NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2. By working through the numerical questions in these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, students will gain the foundational problem-solving skills necessary for comprehending significantly greater arithmetic subjects.

Answers to all of the questions in these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 provided by Extramarks require a solid grasp of place value, general form, and numerical arithmetic. Students can use these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 as a  resource to help them master this chapter prior to exams. The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, are an incredible guide for quickly jotting down facts and ideas. The chapter in Playing with Numbers features 14 questions that are primarily sums of short responses. The majority of these puzzles require students to check for divisibility and find digits for letters. Understanding numbers and their characteristics clearly is required.

To understand number forms and divisibility tests, a clear understanding of number types and their traits is required. In NCERT Solutions Class 8 Maths Chapter 16 Exercise 16.2, students will be able to fully grasp these important concepts. The following is a list of some of the key ideas relating to numbers and the tests for their divisibility that are covered in these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2:

• Any number is capable of being represented in its general form. for instance, the generic form of the two-digit integer ab is ab = 10a + b.
• Any number that may be divided by two and has a divisible last digit. 2, 4, 6, or 8 can be divided evenly by 2.

## NCERT Solutions for Class 8 Maths, Chapter 16: Playing with Numbers (EX 16.2) Exercise 16.2

In these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, students will be learning about the various types of numbers. In these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, the concept of divisibility by numbers will also be explored. There are two exercises in Chapter 16. The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 pertain to Exercise 16.2. The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 are comprehensive and descriptive. The themes discussed in Chapter 16 are as follows:

• 16.1 Introduction
• 16.2 Numbers In General Form
• 16.3 Games With Numbers
• 16.4 Letters for Digits
• 16.5 Tests Of Divisibility
• Divisibility by 10
• Divisibility by 5
• Divisibility by 2
• Divisibility by 9 and 3

The subject-matter specialists at Extramarks have made available to students the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 which include comprehensive information about numbers in general forms.

### Access NCERT Solution for Class 8 Mathematics Chapter 16.2 – Playing with Numbers

With the help of these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, students can properly scrutinise large numbers. These ideas from NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 can be used by students to bolster their arguments for divisibility trials. Playing with Numbers-related ideas is covered in the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2.

Here are a few important facts to remember while reading the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 by Extramarks:

1. What is the general form of a number?

A two-digit number can be represented in general form as pq=10p+q.

1. The 3-digit numbers are then reversed and subtracted.

The result of reversing a three-digit number and subtracting the smaller number from the larger number is easily divisible by 99. Additionally, the quotient is equal to the variation between the chosen number’s first and third digits. A three-digit number is perfectly divisible by 111 if all possible combinations of the three digits are tallied together.

Students should be able to understand the concepts in the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2. Students are provided with the right conceptual foundation by NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, so they can master arithmetic at higher levels.

### Exercise 16.2

To quickly understand the concepts covered in this chapter, students can use the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 based on Playing with Numbers. These NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 help students have a deeper knowledge of the material by providing the answers to the questions. When students need additional assistance with their homework, practice tests, or acquiring knowledge, they can refer to the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2. Students are advised to get the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, in order to ace the Class 8 annual exams.

In order to discover whether a number is divisible, the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 based on “Playing with Numbers” calls for dividing the number by 2, 3, 5, 9, and 10, respectively. The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, include clear illustrations and examples to aid in the learning of this topic simply.

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

The ideas of Numbers in General form, Letters for Digits, and various divisibility tests are the main topics of the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2. Number Games is another fascinating topic covered in this NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2.

The NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 include a few games and puzzles that involve numbers to increase the appeal and interest of the material. The ideas in the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 will be clarified as you play these games. Some number games include switching letters and numbers to make a code, and vice versa. These fascinating number games can be found in the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2.

In these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2, students will study the divisibility of numbers by 11, as well as how a number that is divisible by m will also be divisible by each of m’s factors. The purpose of specific tests that are used to determine the divisibility will be highlighted in these NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2.  The final section of the NCERT Solutions for Class 8 Maths Chapter 16 Exercise 16.2 is a summary with a focus on the key ideas.

### NCERT Solutions for Class 8

The NCERT Solutions for Class 8 Mathematics are a reputable source of study resources for Class 8 students. Extramarks provides thorough and accurate Class 8 solutions. The Class 8 Mathematics solutions cover all sixteen chapters of the NCERT Class 8 Mathematics textbook. Each chapter has been organised and properly solved. The video tutorials’ staged approach helps learners gain understanding. To make learning easier for students, the NCERT solutions are offered in PDF and video tutorial formats.

Q.1 If 21y5 is a multiple of 9, where y is a digit, what is the value of y?

Ans

If a number is a multiple of 9, then the sum of its digits will be divisible by 9.

Sum of digits of 21y5 = 2 + 1 + y + 5 = 8 + y

Hence, 8 + y should be a multiple of 9.

This is possible when 8 + y is any one of these numbers 0, 9, 18, 27, and so on …

Since y is a single digit number, therefore, y can be 1 only.

Q.2 If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?

Ans

If a number is a multiple of 9, then the sum of its digits will be divisible by 9.

Sum of digits of 31z5 = 3 + 1 + z + 5 = 9 + z

Hence, 9 + z should be a multiple of 9.

This is possible when 9 + z is any one of these numbers 0, 9, 18, 27, etc.

Since z is a single digit number, the sum can be either 9 or 18.

Therefore, z should be either 0 or 9.

Q.3 If 24x is a multiple of 3, where x is a digit, what is the value of x?

Ans

If a number is a multiple of 3, then the sum of its digits should also be a multiple of 3.

Since 24x is a multiple of 3, the sum of its digits is a multiple of 3.

Sum of digits of 24x = 2 + 4 + x = 6 + x

Hence, 6 + x is a multiple of 3.

This is possible when 6 + x is any one of these numbers 0, 3, 6, 9, and so on.

Since x is a single digit number, the sum of the digits can be 6 or 9 or 12 or 15.

Thus, the value of x comes to 0 or 3 or 6 or 9 respectively.

Therefore, x can have any of the four different values 0, 3, 6, or 9.

Q.4 If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

Ans

If a number is a multiple of 3, then the sum of its digits should also be a multiple of 3.

Since 31z5 is a multiple of 3, the sum of its digits will be a multiple of 3.

That is, 3 + 1 + z + 5 = 9 + z is a multiple of 3.

This is possible when 9 + z is any one of 0, 3, 6, 9, 12, 15, 18, and so on.

Since z is a single digit number, 9 + z= 9 or 9 + z= 12 or 9 + z= 15 or 9 + z= 18

Therefore, the value of z = 0 or z = 3 or z = 6 or z = 9.