What is the method in multiplying numbers using the distributive property of multiplication over addition?

What is the method in multiplying numbers using the distributive property of multiplication over addition?

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.

Why is multiplication distributive 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.

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What the distributive property means for multiplication addition and 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.

What is distributive property over multiplication?

The distributive property of multiplication over addition states that multiplying the sum of two or more addends by a number gives the same result as multiplying each addend individually by the number and then adding or the products together.

How is the distributive property helpful?

When you distribute something, you are dividing it into parts. In math, the distributive property helps simplify difficult problems because it breaks down expressions into the sum or difference of two numbers.

How does distributive property work?

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.

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How do you teach distributive property?

Distributive property with exponents

  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.

How do you use the distributive property of multiplication over addition?

The distributive property of multiplication over addition is applied when you multiply a value by a sum. For example, suppose you want to multiply 5 by the sum of 10 + 3. According to the property, you can first add the numbers and then multiply by 5. 5(10 + 3) = 5(13) = 65. Or, you can first multiply every addend by 5.

How do you find the expression of a distributive property?

The expression of a distributive property can be stated as the product of a number with a sum is equal to the sum of the products of the number with each term under the addition. Therefore, x (y + z) = xy + xz

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What does distributive mean in math?

Distributive means sharing of something to each member of the group with the definite rule. What is distributive property of integers? The distributive property of integers can be stated as the product of an integer with the sum of two integers inside the parentheses is equal to the sum of the products of integers separately.

What is the distributive property of sum?

The property states that the product of a number and the sum of two or more other numbers is equal to the sum of the products. Use distributive property. Use distributive property. Use distributive property. Use distributive property. Use distributive property.