NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.2 help you understand the concepts of the exercise thoroughly. These solutions are created by askIITians Maths experts based on the latest CBSE syllabus for Class 8 Maths. You can download the pdf solutions for free from our website for NCERT Class 8 Maths Chapter 16 Playing with Numbers Ex 16.2. The solutions include a stepwise approach to solving the questions so that you can prepare well for your exams. You can study these solutions at your own pace without any further assistance. Let us see what is included in the second exercise of the Playing with Numbers chapter.
The second exercise of this chapter is based on the concept of tests of divisibility. It provides various methods to find out whether a number is divisible by 2, 3, 4, 5, 6, 7, 8, 9, 10 and 11 respectively. 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 points related to NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.2:
Writing numbers in general form:
We find the general form of a number by adding the product of the digits with their place values.
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
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:
NCERT Solutions are important for students as they act as a self-explanatory guide that they can use at any time. Sometimes when you are studying early in the morning or late at night and you get stuck in solving any question, you can quickly refer to the NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.2 and resolve your doubts. This way you do not have to wait to ask your teachers or tutors. These solutions are also prepared by experienced Maths teachers who are well-versed with the Class 8 Maths syllabus for various boards.
Important features of our NCERT Solutions for Class 8 Maths Chapter 16 Playing with Numbers Ex 16.2 include:
Types of questions included in NCERT Class 8 Maths Chapter 16 Playing with Numbers Ex 16.2
Ex 16.2 Q1: In this question, you are given that 21y5 is a multiple of 9, where y is a digit. You have to find the value of y.
Ex 16.2 Q2: In this question, it is given that 31z5 is a multiple of 9, where z is a digit. You need to find the value of z. In this question, you will find that there are two answers to the problem. You have to tell why it is so.
Ex 16.2 Q3: In this question, it is given that 24x is a multiple of 3, where x is a digit. You have to find the value of x. You are also given a hint with this question: since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18, ... . But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values.
Ex 16.2 Q4: In this question, it is given that 31z5 is a multiple of 3, where z is a digit. You need to find the value of z.
You can refer to the various learning materials provided by askIITians Maths teachers for NCERT Class 8 Maths Chapter 16 Playing with Numbers such as revision notes, extra questions, NCERT Solutions, flashcards and practice worksheets.
Every NCERT chapter is important from the exam point of view. This is because preparing every chapter thoroughly can ensure that you will be able to solve most questions correctly and achieve higher marks in the exam. Skipping a chapter means losing all the potential for getting full marks.
There are two exercises in this chapter with 14 questions in total. At askIITians, you can find stepwise solutions for all the exercise questions of the chapter. The first exercise is based on 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. The second exercise is based on tests of divisibility.