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

Answer from: drecooks713

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

Answer from: coleian24

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:

Answer from: ThePotato381

yeet

step-by-step explanation:

Answer from: meaghan18

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.

Answer from: beccamae9526

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.

Answer from: isabella4141

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.

Answer from: ahmed5774

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.

### Another question on Mathematics

Mathematics, 21.06.2019 16:40

Identify an equation in point slope type for the heat perpendicular to y=3x+5 that passes v (4,-1)

Answers: 2

Answer

Mathematics, 21.06.2019 17:00

Marlow is comparing the price of 2 trucks rental compaines company a charges $3 per hour and an addtional $75 together serivce charges company b charges $2 per hour and secondary $85 together serivce charges

Answers: 1

Answer

Mathematics, 21.06.2019 20:50

Write the equation in logarithmic form e^x=403.429

Answers: 1

Answer

Mathematics, 21.06.2019 21:00

With both problems. A.s.a.p direction on picture ^

Answers: 1

Answer

You know the ideal answer?

Under what operations room the set of integers closed? explain your answer....

Questions

Physics, 25.03.2020 23:52

The pillar is made of A-36 steel and also is addressed at end D, while finish A is permitted to turn 0.0060 rad as soon as the torque is applied. Intend that the shear...

Answer

History, 25.03.2020 23:52

This program was draft to put the nation’s unemployed youth to job-related on reforestation and comparable projects transparent the country...

Answer

Biology, 25.03.2020 23:52

In protein synthesis, peptide bonds kind between nearby amino acids together they are carried one by one to the ribosome, developing a chain....

Answer

Biology, 25.03.2020 23:52

When does cross over happen in meiosis? metaphase i metaphase II prophase i prophase II...

Answer

History, 25.03.2020 23:52

State programs together as education transportation and Public security are implemented whereby branch the government...

Answer

Mathematics, 25.03.2020 23:52

Last June, you invested 20 hours at the beach. You additionally spent 840 minutes every week ~ above summer reading. Did friend spend more time in ~ the beach or ~ above summer...

Answer

Mathematics, 25.03.2020 23:52

If 2 polynomial equations have real solutions, then will the equation that is the an outcome of adding, subtracting, or multiplying the two polynomial e...

Answer

Chemistry, 25.03.2020 23:52

1. You begin with 64g the a radioactive material (“Parent”) with a half-life that 16 days. Just how much the the Parent will you have actually after 32 days?...

Answer

Business, 25.03.2020 23:52

An investor recently purchased a corporate shortcut that yields 9%. The investor is in the 36% an unified federal and state taxes bracket. What is the bond’s...

Answer

Mathematics, 25.03.2020 23:52

Thu is 5 years older 보다 her older brother Tuan. The sum of their periods is 51. What room their ages?...

Answer

English, 25.03.2020 23:52

Who desires to talk? I"m bored! I"ll speak to anyone around anything!!...

Answer

History, 25.03.2020 23:52

Explain the meaning of the an initial and 2nd Battles of Galveston in 1862 and 1863. Explain why Galveston to be a key location of attention to both s...

Answer

Mathematics, 25.03.2020 23:52

Find the area of the lighter shaded region. Go into a decimal rounded come the nearest tenth.

Answer

Social Studies, 25.03.2020 23:52

The role of committees is come act together a bridge in between state and also local campaigns. A. National B. County C. Local...

Answer

Physics, 25.03.2020 23:52

In 1994, come commemorate the 200th anniversary of a beverage company, a gigantic bottle was constructed and filled v 2.25 * 10 ^ 3 kg that the company"s...

Answer

Mathematics, 25.03.2020 23:53

The relationship between the cost, d, in dollars, of an ounce of crystal Clear water and the number of ounces, n, purchased in ~ the football stadium ca...

Answer

Chemistry, 25.03.2020 23:53

State what space the forces acting ~ above the object...

Answer

Mathematics, 25.03.2020 23:53

Avery has $20 in a savings account. The interest rate is 5% every year and is not compounded. How much will she get in 1 year...

Answer

Biology, 25.03.2020 23:53

What is DNA mutation....

Answer

English, 25.03.2020 23:53

What walk complied mean...

Answer

More questions: MathematicsAnother questions

See results (0)

The answer is not found?

questioning an skilled a question

Join now

Password

Your question

Log inForgot her password?

Too quick question

Next

Log in

Password

Join nowForgot her password?

Invalid login or password

Log in

You are registered.Access to your account will certainly be opened up after verification and publication that the question.

Next

Password recovery

New password sent out to her email

OkClose

Ask your question to an expert

Your name

Question

Pick a subject

Pick a subjectMathematicsHistoryEnglishBiologyChemistryPhysicsSocial StudiesAdvanced location (AP)SATGeographyHealthArtsBusinessComputers and also TechnologyFrenchGermanSpanishWorld Languages

Your concern is as well short

Add photoSend

Question sent out to expert. You will receive solution to the email.

See more: Zero In Roman Numerals: What Is 0 In Roman Numerals, How To Write The 0 Zero In Roman Numerals

OK

Cancel anytime.

No commitments. Release anytime. All pricing is in united state dollars (USD). The subscriptoin renews automaticaly till you cancel. For an ext information check out our regards to use & Privacy policy

Instant access to the prize in our app

And countless other answer 4U without ads

Be smarter, download now!

or

check out a few ads and unblock the prize on the site

You deserve to only questioning a concern in the app

Be smarter, download now!