Quick Answer: What Is A Distributive Property In Math?

How do you use the distributive property to find the value?

(iii) Distributive property – For real numbers a, b and c, we have a×(b+c)=a×b+a×c and a+(b×c)=(a+b)×(a+c).

8×12=8×(10+2)=8×10+8×2=80+16=96..

What is distributive property of subtraction?

The distributive property is a property of multiplication used in addition and subtraction. This property states that two or more terms in addition or subtraction with a number are equal to the addition or subtraction of the product of each of the terms with that number.

How do you solve a distributive property problem?

Distributive property with exponentsExpand the equation.Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.Combine like terms.Solve the equation and simplify, if needed.Jun 14, 2019

How do you explain the distributive property?

To “distribute” means to divide something or give a share or part of something. 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 distributive property formula?

Distributive property means to divide the given operations on the numbers, so that the equation becomes easier to solve. Distributive property definition simply states that “multiplication distributed over addition.” i.e a x b + a x c = ab + ac.

How do you do the distributive property of multiplication?

Here’s an example: multiply 17 101 using the distributive property.Simplify the numbers. In this example, 101 = 100 + 1, so: … Split the problem into two easier problems. Take the number outside the parentheses, and multiply it by each number inside the parentheses, one at a time. … Add the products.

What is distributive property of 3×6?

3×6 = 12 + 6. 18 = 18. (Both sides have a result of 18.) The distributive property of multiplication over subtraction. 3(4 – 2) = 3×4 – 3×2.

How do you do distributive property in math?

Distributive property with exponentsExpand the equation.Multiply (distribute) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set.Combine like terms.Solve the equation and simplify, if needed.Jun 14, 2019

What is the next step after using the distributive property?

After applying the distributive property, the next step is to separate the variables to one side, like collecting like terms and then solving the now simplified equation.

What is distributive property with example?

The distributive property of multiplication over addition is applied when you multiply a value by a sum. For example, you want to multiply 5 by the sum of 10 + 3. As we have like terms, we usually first add the numbers and then multiply by 5. But, according to the property, you can first multiply every addend by 5.

What is distributive property 6th grade?

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 does distributive property look like?

The Distributive Property is easy to remember, if you recall that “multiplication distributes over addition”. Formally, they write this property as “a(b + c) = ab + ac”. In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

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