What Is The Distributive Property Of Multiplication Over Addition?

by | Last updated on January 24, 2024

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The distributive property of multiplication over addition is

used when we multiply a value by the sum of two or more numbers

. For example, let us solve the expression: 5(5 + 9). This expression can be solved by multiplying 5 by both the addends.

What is distributive property of multiplication over addition explain giving examples?

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 the distributive property of multiplication over addition and subtraction?

The distributive property applies to the multiplication of a number with the sum or difference of two numbers i.e., the distributive property holds true for multiplication over addition and subtraction. Distributive property definition simply states that “

multiplication distributed over addition

.”

What is distributive property of multiplication over multiplication?

In Math, the distributive property of multiplication is described as when

we multiply a number with the sum of two or more addends or minuends

, we get a result that is equal to the result that is obtained when we multiply each addend or minuend separately by the number.

Is multiplication is distributive over addition?

The statement ‘

Multiplication is distributive over addition for

whole numbers’ is true. The distributive property of multiplication over addition is given as a×(b+c)=(a×b)+(a×c). To learn more Maths-related questions, visit BYJU’S – The Learning App.

How do you find the distributive property of multiplication?

  1. Expand the equation.
  2. 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.
  3. Combine like terms.
  4. Solve the equation and simplify, if needed.

What are some examples of distributive property?

The distributive property of multiplication over addition: The distributive property of multiplication over subtraction: 8 × ( 20 + 7 ) = 8 × 20 + 8 × 7 = 160 + 56 = 216 8 × ( 30 − 3 ) = 8 × 30 − 8 × 3 = 240 − 24 = 216

Should the distributive property be a property of multiplication addition or both?

The correct answer is

30(2) + 30(4)

. The distributive property of multiplication over subtraction is like the distributive property of multiplication over addition. You can subtract the numbers and then multiply, or you can multiply and then subtract as shown below. This is called “distributing the multiplier.”

What is the distributive property of subtraction?

What is Distributive Property? 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 use distributive property for Class 6?

Distributive property of multiplication over Addition: This property is used when we have to multiply a number by the sum. In order to verify this property, we take any three whole numbers a, b and c and find the values of the expressions a × (b + c) and a × b + a × c as shown below: Find 3 × (4 + 5).

What is the distributive property of multiplication 3rd grade?

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

.

What does distributive property mean in math?

Also known as the distributive law of multiplication, it’s one of the most commonly used properties in mathematics. … According to this principle,

multiplying the total of two addends by a number will give us the exact same result as multiplying each addend individually by the number and then adding them together

.

What is the distributive property of multiplication with fractions?

Distributive Property & Fractions

The distributive property allows

us to multiply one number or term with a set of terms in parentheses

. All you do is multiply the term outside the parenthesis by each term inside the parentheses. Fractions follow the same rules as any other kind of term in algebra.

What is the distributive method?

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.

Charlene Dyck
Author
Charlene Dyck
Charlene is a software developer and technology expert with a degree in computer science. She has worked for major tech companies and has a keen understanding of how computers and electronics work. Sarah is also an advocate for digital privacy and security.