How do you solve the distributive property?

How do you solve the distributive property?

Distributive property with variables

1. Multiply, or distribute, the outer term to the inner terms.
2. Combine like terms.
3. Arrange terms so constants and variables are on opposite sides of the equals sign.
4. Solve the equation and simplify, if needed.

What is an example of a distributive property?

It is used to solve expressions easily by distributing a number to the numbers given in brackets. For example, if we apply the distributive property of multiplication to solve the expression: 4(2 + 4), we would solve it in the following way: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.

How do you use the distributive property to multiply?

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

What is the distributive rule?

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac.

What does distributive property mean in math?

distributive law of multiplication and division The distributive property tells us how to solve expressions in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. ... Then we need to remember to multiply first, before doing the addition!

What is the distributive property of division?

What is the Distributive Property of Division? Answer: Distributive property of division breaks numbers into smaller factors and then distributes the divide operation between them.

What is the distributive property 3rd grade math?

The distributive property says that when you multiply a factor by two addends, you can first multiply the factor with each addend, and then add the sum. ... Remember to use the distributive property to make solving tough multiplication problems easier.

What are the two distributive laws?

Summary

Commutative Laws:	a + b = b + a a × b = b × a
Associative Laws:	(a + b) + c = a + (b + c) (a × b) × c = a × (b × c)
Distributive Law:	a × (b + c) = a × b + a × c

Is distributive property a property of equality?

The distributive property states that the product of an expression and a sum is equal to the sum of the products of the expression and each term in the sum. For example, a(b+c)=ab+ac.

What is distributive property of subtraction?

You can subtract the numbers and then multiply, or you can multiply and then subtract as shown below. This is called “distributing the multiplier.” The same number works if the is on the other side of the parentheses, as in the example below.

How do you do distributive property step by step?

• Step 1 Use the Distributive Property. Step 2 Combine like terms on each side. Step 3 Move the variables to one side of the equation. Step 4 Undo addition or subtraction. Step 5 Undo multiplication or division.

What are the steps to distributive property?

• Distributive Property (Multiplying a monomial by a polynomial) Step 1: Multiply the outside term by the first term in parenthesis x.3x=3x 2. Step 2: Put a plus sign. Step 3: Multiply the outside term by the second term in parenthesis: x.5=5x.

What are the rules of distributive property?

• The distributive property defines that the product of a single term and a sum or differenceof two or more terms inside the bracket is same as multiplying each addend by the single term and then adding or subtracting the products. In general, the property is true for number of addends . Rule for multiplication over addition:

How do you multiply using the distributive property?

• The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.