a collection of integers is close up door under addition, subtraction, and multiplication due to the fact that when girlfriend add, subtract, or multiply any type of integers, the result is constantly an integer.

You are watching: Under what operations are the set of integers closed? explain your answer.

Step-by-step explanation:

Closure Property(Integers)

1. Addition : including two integers provides an Integer, therefore Integer satisfy closure property.For example

2+3=5

2 and 3 are integers,so 2+3=5 , will be likewise an integer.

2.Subtraction : subtracting an creature from an additional one returns an integer.So, Integer meet closure building with respect to Subtraction.

for example

2-3=-1

2 and 3 space integers,so 2-3= -1 , will be likewise an integer.

3.Multiplication: Multiplication of an Intreger with an additional integer result in one integer.So, Integer satisfy closure property with respect come Multiplication.

for example

2×3=6

2 and also 3 space integers,so 2×3=6 , will be additionally an integer.

4.

Integers space not closeup of the door under divison.Because see below

Step-by-step explanation:

Closed under addition, subtraction and multiplication

Not close up door under division :-

for example 3/4 = 0.75 i m sorry is no an integer

The collection of integers is closeup of the door under addition, subtraction, and multiplication.

The set of integers is not closed under division.

Give a counterexample to show that the integers space not closeup of the door under division. Because that example, 1 divided by 3 is no an integer.

Step-by-step explanation:

yeet

step-by-step explanation:

Addition, subtraction, multiplication.Addition: The enhancement of 2 integers produces an additional integer.Subtraction: The individually of two integers produces another integer.Multiplication: The product of two integers is one integer.Division in between two integers can create a reasonable number the is not in the set of integers e.g. 1/3This only consists of the four straightforward arithmetic operations, friend can encompass exponentiation and also the modulo procedure if you want to because that the same factors as above.
Integers space closed under addition, subtraction, and multiplication.Integers space not closeup of the door under division, For example, 1 separated by 3 is no an integer.
Integers are numbers which room not fraction and this set is closed just under addition, subtraction, and also multiplication. Let united state take a example Ifyou add, subtract, or main point the numbers 1 and also 3, then the systems is 4, -2, and also 3. I hope the helped.
The collection of integers is close up door under addition, subtraction, and also multiplication since when ns add, subtract, or multiply any integers, the an outcome is constantly an integer.

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