# Which property says that the grouping of the expression does not change the sum or product?

Table of Contents

- 1 Which property says that the grouping of the expression does not change the sum or product?
- 2 Can you change the grouping of numbers to change the sum?
- 3 Which property states that changing the grouping of numbers?
- 4 Which of the following property states that changing the order?
- 5 How does the sum change when the order of the addends are changed?
- 6 What property states that changing the order?
- 7 What is the associative property of addition?
- 8 What is the commutative and distributive property of addition?

## Which property says that the grouping of the expression does not change the sum or product?

Correct. The order of factors is reversed. The associative property of addition states that numbers in an addition expression can be grouped in different ways without changing the sum.

**Which property states that the way in which numbers are grouped does not change its product?**

The associative property of multiplication

The associative property of multiplication states that the way in which the numbers are grouped in a multiplication problem does not affect or change the product of those numbers.

### Can you change the grouping of numbers to change the sum?

Terms in this set (10) Changing the grouping of three or more numbers does not change the sum. Numbers always stay the same. The grouping of factors does not affect their product. When one of the factors of a product is a sum, multiplying each addend before adding does not change the product.

**What property allows you to change the order of addends?**

The commutative property

The commutative property allows us to reorder the addends in an addition problem. The commutative property of addition tells us that we can add numbers in any order and not change the sum.

#### Which property states that changing the grouping of numbers?

The Associative property, in general, states that changing the GROUPING of numbers that are either being added or multiplied does NOT change the value of it.

**Which of the following properties states that changing the grouping of numbers does not affect the sum product?**

commutative property

The commutative property states that the order in which two numbers are added or multiplied does not affect the sum or product.

## Which of the following property states that changing the order?

The commutative property of multiplication of integer states that, when multiplication is performed on two integers, then by changing the order of the integers, the result does not change.

**What is grouping property of addition?**

grouping property of addition. grouping property of addition. The property that states that the way addends are grouped does not change the result of the addition. For example, (1 + 2) + 4 = 1 + (2 + 4). Related Terms: associative, commutative.

### How does the sum change when the order of the addends are changed?

If the order of the addends changes, the sum stays the same. If the grouping of addends changes, the sum stays the same. The sum of any number and zero is that number. Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

**Which of the following property states that changing the order of two numbers?**

commutative property of multiplication

The commutative property of multiplication of integer states that, when multiplication is performed on two integers, then by changing the order of the integers, the result does not change.

#### What property states that changing the order?

Commutative property

Commutative property states that while adding numbers, changing the order will affect the sum.

**Which of the following properties states that changing the grouping of number does not affect the sum product?**

The commutative property states that the change in the order of 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 the associative property of addition?

The associative property states that the grouping or combination of two or more numbers that are being added or multiplied does not change the sum or the product. The associative property of addition is written as: (A + B) + C = A + (B + C). The associative property of multiplication is written as (A × B) × C = A × (B × C).

**Which rule of addition includes grouping of numbers?**

The Associative Property is the rule that includes grouping of numbers. For associative property of addition, the rule is “a + (b + c) = (a + b) + c”, for example, 2 + (3 + 4) = (2 + 3) + 4 ⇒2+7 = 5+4. Both are evaluated as 9.

### What is the commutative and distributive property of addition?

The commutative property of addition for two numbers ‘A’ and ‘B’ is: A + B = B + A. The distributive property means multiplying a number with every number inside the parentheses. The numbers inside the parentheses are separated by an addition or a subtraction symbol.