For integers

Integers are both positive & negative numbers & zero

 … −3, −2, −1, 0, 1, 2, 3,…..

Operation   Closed or not
Addition 3 + 5 = 8
8 is an integer

Also,
–1 + 0 = –1
–1 is an integer

So, integers are closed under addition
So, if we add any two numbers,
we get an integer

So, it is closed
Subtraction 3 – 5 = –2
–2 is an integer

Also,
–1 – 0 = –1
–1 is an integer

So, integers are closed under subtraction
So, if we subtract any two numbers,
we get an integer

So, it is closed
Multiplication 3 × 5 = 15
15 is an integer

Also,
–1 × 0 = 0
0 is an integer

So, integers are closed under multiplication
So, if we multiply any two numbers,
we get an integer

So, it is closed
Division 3 ÷ 5 = 3/5
But, 3/5 is not an integer

So, integers are not closed under division
So, if we divide any two numbers,
we do not get an integer

So, it is not closed

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  1. Chapter 1 Class 7 Integers
  2. Concept wise

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.