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# What is the property that states that multiplying a sum?

## What is the property that states that multiplying a sum?

The distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.

## Which property allows you to multiply a sum by a number?

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

What is it called when two numbers are added the sum is the same regardless of the order of the addends?

Commutative property of addition. When two numbers are added, the sum is the same regardless of the order of the addends. Ex: a+b=b+a. Distributive property. The sum of two numbers times a third number is equal to the sum of each addend times the third number.

### What property lets you multiply by 1 and have the product equal to the original number?

multiplicative identity property of 1
According to the multiplicative identity property of 1, any number multiplied by 1, gives the same result as the number itself. It is also called the Identity property of multiplication, because the identity of the number remains the same.

### What is the property of multiplication over addition?

The distributive property of multiplication over addition is used when we multiply a value by the sum of two or more numbers. For example, let us solve the expression: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends.

What property is multiplication?

Commutative Property

PROPERTIES OF MULTIPLICATION
Identity Property There is a unique real number 1 such that for every real number a , a⋅1=a and 1⋅a=a One is called the identity element of multiplication.
Commutative Property For all real numbers a and b , a⋅b=b⋅a The order in which you multiply two real numbers does not change the result.

#### What is grouping property of multiplication?

The property that states that the way factors are grouped does not change the result of the multiplication. For example, (2 × 3) × 5 = 2 × (3 × 5).

#### What is identity property of addition and multiplication?

The identity property of addition: for any real number a , a+0=a(0)+a=a0 is called the additive identity. The identity property of multiplication: for any real number a. a⋅1=a(1)⋅a=a1 is called the multiplicative identity.

What is multiplication property one?

The identity property of 1 says that any number multiplied by 1 keeps its identity. In other words, any number multiplied by 1 stays the same. The reason the number stays the same is because multiplying by 1 means we have 1 copy of the number. For example, 32×1=32.

## How do you find the multiplication property?

Properties of multiplication

1. Commutative property of multiplication: Changing the order of factors does not change the product.
2. Associative property of multiplication: Changing the grouping of factors does not change the product.
3. Identity property of multiplication: The product of 1 and any number is that number.

## What is symmetric property?

The Symmetric Property states that for all real numbers x and y , if x=y , then y=x . Transitive Property. The Transitive Property states that for all real numbers x ,y, and z, if x=y and y=z , then x=z .