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

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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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.


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.


What does distrubity property mean?

The distributive property is a fundamental principle in arithmetic and algebra that states that multiplying a number by a sum is the same as multiplying each addend separately and then adding the results. Mathematically, it can be expressed as ( a(b + c) = ab + ac ). This property helps simplify expressions and solve equations by allowing the distribution of multiplication over addition or subtraction.

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


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

The distributive property of multiplication over addition.


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

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.


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.


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 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'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 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.


What is Distributive property of multiplication over addition?

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.