This is called the "distributive property" and has applications in algebra.
The 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.
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.
The answer is the distributive property
In the distributive property you multiply a sum by multiplying each addend separately and then add the products, for example: 2(3+2) Imagine that there is a multiplication sign between the 2 and the parenthesis. You are multiplying each number inside the parenthesis by the 2, (2*3)+(2*2) 6+4 =10
The distributive property of multiplication over addition.
The 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.
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.
The property you are 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 when you multiply a sum by a number, you can distribute the multiplication to each addend and then add the results.
That's the distributive property.
The answer is the distributive property
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.
The distributive property and partial products are related concepts in mathematics but are not the same. The distributive property refers to the ability to multiply a sum by distributing the multiplication across each addend, expressed as ( a(b + c) = ab + ac ). Partial products is a multiplication method that uses the distributive property to break numbers into parts, allowing for easier calculation by multiplying each part separately and then summing the results. While partial products utilize the distributive property, they are a specific application of it in multiplication.
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.
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.
In the distributive property you multiply a sum by multiplying each addend separately and then add the products, for example: 2(3+2) Imagine that there is a multiplication sign between the 2 and the parenthesis. You are multiplying each number inside the parenthesis by the 2, (2*3)+(2*2) 6+4 =10