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

Playing with Numbers
Playing with Numbers

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?

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