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**Class 8 Mathematics notes Chapter 16 Playing with Numbers**

Download CBSE class 8th revision notes for chapter 16 Playing with Numbers in PDF format for free. Download revision notes for Playing with Numbers class 8 Notes and score high in exams. These are the Playing with Numbers class 8 Notes prepared by team of expert teachers. The revision notes help you revise the whole chapter 16 in minutes. Revision notes in exam days is one of the best tips recommended by teachers during exam days.

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**CBSE Class 8 Revision Notes Mathematics Playing With Numbers**

**Number in general form**: A number is said to be in a general form if it is expressed as the sum of the products of its digits with their respective place values.- Numbers can be written in general form. Thus, a two digit number ab will be written as ab = 10a +b.
- The general form of numbers are helpful in solving puzzles or number games.
- The reasons for the divisibility of numbers by 10, 5, 2, 9 or 3 can be given when numbers are written in general form.
**Tests of Divisibility:**

(i)**Divisibility by 2:**A number is divisible by 2 when its one’s digit is 0, 2, 4, 6 or 8.Explanation: Given number abc = 100a +10b +c. 100a and 10b are divisible by 2 because 100 and 10 are divisible by 2. Thus given number is divisible by 2 only when a = 0, 2, 4, 6 or 8.

(ii)**Divisibility by 3:**A number is divisible by 3 when the sum of its digits is divisible by 3. Example: given number = 61785. Sum of digits = 6+1+7+8+5 = 27 which is divisible by 3. Therefore, 61785 is divisible y 3.

(iii)**Divisibility by 4:**A number is divisible by 4 when the number formed by its last two digits is divisible by 4.

Example: 6216, 548, etc.

(iv)**Divisibility by 5:**A number is divisible by 5 when its ones digit is 0 or 5.

Example: 645, 540 etc.

(v)**Divisibility by 6:**A number is divisible by 6 when it is divisible by both 2 and 3.

Example: 246, 7230, etc.

(vi)**Divisibility by 9:**A number is divisible by 9 when the sum of its digits is divisible by 9.

Example: consider a number 215847. Sum of digits = 2+1+5+8+4+7 = 27 which is divisible by 9. Therefore, 215847 is divisible by 9.

(vii)**Divisibility by 10:**A number is divisible by 10 when its ones digit is 0. Example: 540, 890, etc.

(viii)**Divisibility by 11:**A number is divisible by 11 when the difference of the sum of its digits in odd places and the sum of its digits in even places is either o or a multiple of 11.

Example: consider a number 462.

Sum of digits in odd places = 4+2 = 6

Sum of digits in even places = 6

Difference = 6-6=0, which is zero. So, the number is divisible by 11.

**CBSE Class-8 Revision Notes and Key Points**

Playing with Numbers class 8 Notes Mathematics. CBSE quick revision note for class-8 Mathematics, Chemistry, Math’s, Biology and other subject are very helpful to revise the whole syllabus during exam days. The revision notes covers all important formulas and concepts given in the chapter. Even if you wish to have an overview of a chapter, quick revision notes are here to do if for you. These notes will certainly save your time during stressful exam days.

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