**Whole numbers are not closed under subtraction operation** because when any two whole numbers are considered and from them one is subtracted from the other, the difference obtained is not necessarily a whole number. For example: 2 – 3 = -1 and -1 is not a whole number.

### Properties of Whole Numbers: Addition, Subtraction … – Toppr

*the whole numbers are not closed under*…

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## Which set of numbers is closed under subtraction?

Whole numbers are closed under subtraction.

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## Can a set be closed under subtraction?

If the operation on any two numbers in the set produces a number which is in the set, we have closure. We found that the set of whole numbers is not closed under subtraction, but the set of integers is closed under subtraction.

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## What is the set of whole numbers closed under?

The set of whole numbers is closed under addition and multiplication. Any sum or product of whole numbers is a whole number.

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## Is integers closed under subtraction example?

True, because subtraction of any two integers is always an integer. Therefore, Integers are closed under subtraction.

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## Is set of whole numbers closed under subtraction?

No, whole numbers are not closed under subtraction. For a set of numbers to be closed under subtraction, it must be the case that if we subtract any number in the set from another number in the set, then the result is still a number in that set. This is not the case with all whole numbers.

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## What is a set of closed numbers?

A set of numbers is said to be closed under a certain operation if when that operation is performed on two numbers from the set, we get another number from that set as an answer.

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## Are whole numbers closed under addition and multiplication?

Whole numbers are closed under addition and multiplication. It means the addition and multiplication of two or more whole numbers results in a whole number only.

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## How are whole numbers closed under addition?

Closure property of whole numbers under addition: The sum of any two whole numbers will always be a whole number, i.e. if a and b are any two whole numbers, a + b will be a whole number.

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## What are the examples of subtraction of integers?

example(−a)−(−b)=−a+b.−3−(−4)=−3+4=1.−6−(−3)=−6+3=−3.

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## Which are closed under subtraction?

Whole numbers are closed under subtraction.

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## What is an example of a closed operation of integers?

Q. Integers are closed under addition, subtraction and multiplication.

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## What does it mean by integers are closed under subtraction?

Explanation. Integers are closed under Subtraction which mean that subtraction of integers will also give integers.

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## What number is not closed under subtraction?

Whole numbers are not closed under subtraction operation because when any two whole numbers are considered and from them one is subtracted from the other, the difference obtained is not necessarily a whole number.

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## Is natural numbers closed under subtraction?

In the case of subtraction and division, natural numbers do not obey closure property, which means subtracting or dividing two natural numbers might not give a natural number as a result.

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## Is a set of whole numbers closed under subtraction?

No, whole numbers are not closed under subtraction. For a set of numbers to be closed under subtraction, it must be the case that if we subtract any number in the set from another number in the set, then the result is still a number in that set. This is not the case with all whole numbers.

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## Can a set of whole numbers be closed under subtraction?

Solution: Whole numbers are not closed under subtraction operation because when any two whole numbers are considered and from them one is subtracted from the other, the difference obtained is not necessarily a whole number. For example: 2 – 3 = -1 and -1 is not a whole number.

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## Can subtraction be closed?

Closure property of whole numbers under subtraction: The difference between any two whole numbers may or may not be a whole number. Hence, the whole numbers are not closed under subtraction.

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## Is the set N closed under subtraction and division?

Therefore, the set of natural numbers is closed under the binary operations of addition and multiplication but not under subtraction and division.

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## Does subtraction have closure property?

Closure Property: The closure property of subtraction tells us that when we subtract two Whole Numbers, the result may not always be a whole number. For example, 5 – 9 = -4, the result is not a whole number.

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