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The property that states multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products is called the Distributive Property. It can be expressed mathematically as ( a(b + c) = ab + ac ), where ( a ) is the number being multiplied, and ( b ) and ( c ) are the addends. This property is fundamental in algebra and is used to simplify expressions and solve equations.

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What is a property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

The distributive property of multiplication over addition.


What is a loafer doodad?

It's a Crossword Clue Website if you look it up there's tons of them.


What is the property that states that multipling a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

The property you're referring to is the Distributive Property. It states that for any numbers (a), (b), and (c), the equation (a(b + c) = ab + ac) holds true. This means that multiplying a sum by a number is equivalent to multiplying each term inside the parentheses by that number and then adding the results together.


Does it matter if the negative number is the first addend or the second addend when your adding rational number with different signs?

No.


Why is the property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

This property is known as the distributive property, and it illustrates how multiplication interacts with addition. It states that when you multiply a sum by a number, you can distribute the multiplication to each addend, which simplifies calculations and ensures consistent results. This property is fundamental in algebra and arithmetic, as it allows for easier manipulation of expressions and equations. Essentially, it shows that the order in which you perform the operations doesn't change the final result.

Related Questions

I am the property that states that multiplying a song by a number is the same as multiplying each addend in the sum by the number and then adding the products?

That's the distributive property.


What word means the property that states that multiplying sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

The answer is the distributive property


Distributive property of multiplication over addition?

Multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products together.


What is a property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products?

The distributive property of multiplication over addition.


What combines multiplication and addition by multiplying each addend by the number and adding the products?

The distributive property of multiplication over addition.


Distribute Property?

According to this 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 the distrubutive property?

The distrubutive property.... Multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. EXAMPLE: 3x(2+4)=18 (3x2) + (3x4) = 18


What property says that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the product?

Distributive property


What's a example of a distribute property?

What Is Distributive Property? According to this 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 a loafer doodad?

It's a Crossword Clue Website if you look it up there's tons of them.


What property states that multiplication of a sum is same as multiplying each addend of the sum by the number and then adding the products?

This is called the "distributive property" and has applications in algebra.


What is a distubutive property?

The distributive property states that multiplying a sum by a number is the same as multiplying each addend by that number and then adding the products together. In other words, a*(b+c) = ab + ac. This property is fundamental in algebraic manipulations and simplifications.