# NCERT Class 8 Mathematics Chapter 16 Playing with Numbers CBSE Board Sample Problems

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## Playing with Numbers

Numbers can be written in general form.

A two –digit Number ab will be written as

A three-digit Number will be written as

A four-digit Number will be written as

Sr. no | Divisibility | How it works |

1. | Divisibility by 10 | Numbers ending with 0 are divisible by 10 Why? A three- digit Number will be written as So c has to be 0 for Divisibility by 10 |

2. | Divisibility by 5 | Numbers ending with 0 and 5 are Divisible by 5 Why? A three- digit Number will be written as So c has to be 0 or 5 for Divisibility by 5 |

3. | Divisibility by 2 | Numbers ending with 0,2,4,6 and 8 are divisible by 2 Why? A three- digit Number will be written as So c has to be 2,4,6,8 or 0 for Divisibility by 2 |

4. | Divisibility by 3 | The sum of digits should be divisible by 3 Why? A three- digit Number will be written as Now 9 is divisible by 3, so sum of digits should be divisible by 3 |

5. | Divisibility by 9 | The sum of digits should be divisible by 9 Why? A three- digit Number will be written as Now 9 is divisible by 9, so sum of digits should be divisible by 9 |

6. | Divisibility by 11 | The difference between the sum of digits at its odd places and that of digits at the even places should be Divisibility by 11 Why? |