✖In this video the students will be able to understand the Distributive Property of #multiplication with #addition and #learn how to apply it in their #mathematics problems.
Distributive Property What is it ?
The distributive property in multiplication states that when a number is multiplied by the sum or difference of two numbers, then the first number can be distributed to both of those numbers with the relevant sign. It is then multiplied by each of them separately, and then we add or subtract the two products together to obtain the same result as multiplying the first number by the sum or difference of two numbers.

For example, 2 × (3 + 4) is the same as (2 × 3) + (2 × 4)

Or in the case of subtracting numbers, the distributive property for multiplication can be shown as, 2 × (5 – 3) is the same as, (2 × 5) – (2 × 3)

To make it clear let us discuss the distributive property of multiplication formula in detail.
Formulas for the Distributive Property
There are two formulas that we will focus on to understand the formula for the distributive property of multiplication.

Here are the two formulas:
a × (b + c) = (a × b) + (a × c)

a × (b – c) = (a × b) – (a × c)
The distributive property for numbers, especially with reference to multiplication, is better understood using the area model as shown. Let us consider the multiplication as shown below:
11 × (13 + 20) = 11 × 13 + 11 × 20

This can also be represented as a rectangle, which has a length of (13 + 20) units and width of 11 units. Now the bigger rectangle can be broken into smaller rectangles. To find out the product 11 × (13 + 20) we need to find the area of the rectangle. The area of the smaller rectangle would be 11 × 13, and area of the bigger rectangle would be 11 × 20. So, the total area is 11 × 13+11 × 20 .

#distributiveproperty of MULTIPLICATION helps students when they are learning the #timestable because they can break apart ONE of the #factors (of the multiplication equation ) into two smaller multiplication sentences and find the final answer by adding the two #products obtained FROM the TWO smaller MULTIPLICATION SENTENCES

HERE you have a SIMPLIFIED example of DISTRIBUTIVE PROPERTY of MULTIPLICATION with ADDITION
4 X 9

4 X 9 = 4 X ( 5 + 4 )
(4 X 5 ) + (4 X 4)
\ / \ /
20 + 16
\ /
36

Other MULTIPLICATION PROPERTIES videos are available also in this Channel
Video en #español aqui
   • PROPIEDAD DISTRIBUTIVA de la multipli...  
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