# Integers

#### Properties of Division of Integers

1. The integers are not closed under division. Look at the following table.

2. The division is not commutative for integers. Look at the following table.

3. Like whole numbers, any integer divided by zero is meaningless. In other words, for any integer a, a ÷ 0 is not defined.

4. Zero divided by an integer other than zero is equal to zero. In other words, for any integer a, 0 ÷ a = 0 for a 0.

5. When we divide a whole number by 1 it gives the same whole number. Similarly, any integer divided by 1 gives the same integer. In general, for any integer a, we have a ÷ 1 = a.

6. When we divide an integer by (–1) it gives the same integer with changed sign. In general, for any integer a, we have a ÷ (–1) = –a.

1. Shubhra Srivastava says:

Excellent post as usual sir.

1. Math1089 says:

Thank you so much.

2. souravkumarbejgmailcom says:

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Thank you

1. Math1089 says:

Thank you so much.

3. abhinabanandi269305 says:

Sir , I am from class 8
Maths was really easy
I solved all in first attempt
Plz upload more interesting maths for us , as I have shared the post with my friends

1. Math1089 says:

Thank you so much. More things will come up shortly.