Table of Contents

- 1 Is subtraction of integers commutative Why or why not?
- 2 Is subtraction commutative explain?
- 3 Is subtraction commutative for integers?
- 4 Why commutative property does not hold for subtraction of integers?
- 5 Are integers subtraction associative?
- 6 Is subtraction commutative for rational number?
- 7 Is the result of a subtraction always an integer?
- 8 How are integers closed under addition and subtraction?

## Is subtraction of integers commutative Why or why not?

Subtraction is not commutative for integers, this means that when we change the order of integers in subtraction expression, the result also changes.

## Is subtraction commutative explain?

Subtraction is not commutative. This means that the order of the numbers in the subtraction does matter. For example, 10 – 2 = 8 but 2 – 10 = -8. Switching the order of the numbers in the subtraction changed the answer.

**Are integers commutative?**

Commutative property for addition: Integers are commutative under addition when any two integers are added irrespective of their order, the sum remains the same. The sum of two integer numbers is always the same. This means that integer numbers follow the commutative property.

### Is subtraction commutative for integers?

No, subtraction of integers is not commutative.

### Why commutative property does not hold for subtraction of integers?

Therefore, the system is closed under subtraction. It states that multiplication of two integers always results in an integer. For example, 7 × 4 = 28, the result we get is an integer. So, the commutative property does not hold for subtraction.

**Is integer subtraction commutative?**

Subtraction of integers is not commutative.

#### Are integers subtraction associative?

Subtraction of integers is not associative in nature i.e. x − (y − z) ≠ (x − y) − z.

#### Is subtraction commutative for rational number?

Subtraction and division are not commutative for rational numbers because while performing those operations, if the order of numbers is changed, then the result also changes.

**Why is subtraction of whole numbers not commutative?**

Subtraction of Whole Numbers. Explanation :-. Subtraction is not commutative for integers, this means that when we change the order of integers in subtraction expression, the result also changes.

## Is the result of a subtraction always an integer?

If we subtract any two integers the result is always an integer, so we can say that integers are closed under subtraction. Let us say ‘a’ and ‘b’ are two integers either positive or negative, their result should always be an integer, i.e (a + b) would always be an integer.

## How are integers closed under addition and subtraction?

Since both -11 and 2 are integers, and their sum, i.e (-9) is also an integer, we can say that integers are closed under addition. If we subtract any two integers the result is always an integer, so we can say that integers are closed under subtraction.

**Which is an associative property under subtraction of an integer?**

Associative Property under Subtraction of Integers: On contradictory, as commutative property does not hold for subtraction similarly associative property also does not hold for subtraction of integers. In generalize form for any three integers say ‘a’, ’b’ and ‘c’ a – (b – c) ≠ (a – b) – c