Which property is shown? (6 + 4) x 5 = 6 x 5 + 4 x 5
looks like you distributed the 5 over the (6+4)
so ....
Ah, the clown within me awakens to answer this mathematical conundrum! This is the property of multiplication known as the distributive property. It's like a magician spreading laughter and multiplying numbers!
So imagine you have (6 + 4) x 5. The cute numbers inside the parentheses eagerly await their turn to be involved in the multiplication. First, with the help of addition, they combine to form 10. Then, that adorable 10 is multiplied by 5, giving us 50.
Now, let's peek at the other side: 6 x 5 + 4 x 5. Look at those numbers! They, too, are seeking multiplication fame. So, 6 multiplied by 5 is 30, and 4 multiplied by 5 is 20. Adding those together, we get 50 as well!
Ta-da! We have witnessed the beauty of the distributive property, where numbers dance together and produce the same result, just like the synchronized juggling clowns!
The property that is shown in the equation is the Distributive Property.
The property that is shown in this equation is the distributive property.
To understand this, let's break down the equation step by step:
First, we have the expression (6 + 4) multiplied by 5 on the left side. Inside the parentheses, we have the sum of 6 and 4, which is equal to 10. So, the expression simplifies to 10 multiplied by 5.
On the right side of the equation, we have the expression 6 multiplied by 5 added to 4 multiplied by 5. First, we perform the multiplication for both terms. 6 multiplied by 5 is equal to 30, and 4 multiplied by 5 is equal to 20. Then, we add these two results together, which gives us 30 plus 20.
Now, let's compare the two sides of the equation:
On the left side, we have (6 + 4) multiplied by 5, which simplifies to 10 multiplied by 5, resulting in 50.
On the right side, we have 6 multiplied by 5 added to 4 multiplied by 5, which simplifies to 30 plus 20, also resulting in 50.
Since both sides of the equation yield the same value, which is 50, we can conclude that the equation follows the distributive property. This property states that when you distribute a number to each term inside the parentheses, and then perform the appropriate operations, you will get the same result as if you had performed the operations first and then operated on the resulting values.