# Frequent question: Does commutative property of addition apply when you add two negative integers?

You can remember the commutative property by thinking of the numbers “commuting,” or changing places. The example shows us that “**negative** two plus positive four” is the same as “positive four plus negative **two**.”

As many you asked, does the commutative property apply for negative **integers**? Once you learn positive and negative numbers, you can understand that addition and subtraction are the same. As mentioned above, the commutative property is valid for **addition**. So, by changing subtraction to addition of **negative** numbers, the commutative law is established.

Subsequently, what is the rule for Adding two negative integers? Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive **integers** always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a **negative** integer, take the absolute value of each integer and then subtract these values.

Additionally, is **commutative** property applicable for addition? The property holds for **Addition** and Multiplication, but not for subtraction and division. The above examples clearly show that we can **apply** the commutative property on addition and multiplication. However, we cannot apply **commutative** **property** on subtraction and division.

Frequent question, what are 2 examples of commutative **property** of **addition**? Here’s a quick summary of these properties: **Commutative** **property** of addition: Changing the order of addends does not change the sum. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4 4+2=2+44, plus, 2, equals, 2, plus, 4.Properties of integers: – Integers are closed under addition, subtraction and multiplication. – Addition and multiplication are commutative for **integers**, i.e., a + b = b + a and a × b = b × a for any **two** integers a and b.

Contents

- 1 Is adding negative numbers associative?
- 2 What is the sum when you add negative to negative?
- 3 What happens if you add a negative and a negative?
- 4 How do you add negative integers?
- 5 Which of the following property states that the two integers that are added?
- 6 What is the difference between commutative and associative property of addition?
- 7 How do you write commutative property of addition?
- 8 What is commutative associative property?
- 9 When the order of number to be added is change the sum?
- 10 Is commutative property closed under integers?
- 11 How does the commutative property help us with integer operations?
- 12 Which of the following is an example of commutative property of integers?
- 13 What does the associative property apply?
- 14 What happens when you multiply an integer by its opposite?
- 15 Is commutative property of multiplication?

## Is adding negative numbers associative?

## What is the sum when you add negative to negative?

When you add two negative integers together, the sum is a more negative number since you are moving further down (to the left) of the number line. Take a look at the expression (−7)+(−3). First, let’s draw a number line and start at −7. Next, add −3 to −7.

## What happens if you add a negative and a negative?

When you are adding a negative number to a negative number, it becomes subtraction, where you start from a negative point on the numbers line and move left.

## How do you add negative integers?

Adding two negative numbers: Drop both minus signs and add the numbers as if they were both positive; then attach a minus sign to the result.

## Which of the following property states that the two integers that are added?

The property which states that the two integers that are added and multiplied remain as integers is Closure Property.

## What is the difference between commutative and associative property of addition?

The associative property of addition states that you can group the addends in different ways without changing the outcome. The commutative property of addition states that you can reorder the addends without changing the outcome.

## How do you write commutative property of addition?

The commutative property states that the change in the order of two numbers in an addition or multiplication operation does not change the sum or the product. The commutative property of addition is written as A + B = B + A.

## What is commutative associative property?

In math, the associative and commutative properties are laws applied to addition and multiplication that always exist. The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.

## When the order of number to be added is change the sum?

According to the commutative property of addition, changing the order of the numbers we are adding, does not change the sum. Here’s an example of how the sum does NOT change, even if the order of the addends is changed.

## Is commutative property closed under integers?

Integers are not closed under division, i.e. for any two integers a and b, ab a b may not be an integer. Commutative property under addition: Addition is commutative for integers. For any two integers a and b, a + b = b + a.

## How does the commutative property help us with integer operations?

Integer Properties The commutative property states that numbers can be added in any order and this does not change the sum. The additive inverse property states that any number added to its opposite equals zero.

## Which of the following is an example of commutative property of integers?

This is one of the major properties of integers. For example: 1+2 = 2+1 and 2 x 3 = 3 x 2. Commutative Property: A + B = B + A (Addition)

## What does the associative property apply?

The associative property applies to addition and multiplication but not subtraction and division. Subtraction and division are operations that require being followed in a very specific order, unlike multiplication and division.

## What happens when you multiply an integer by its opposite?

When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

## Is commutative property of multiplication?

Commutative property only applies to multiplication and addition. However, subtraction and division are not commutative.