Name the property illustrated here:
2 x (8+4)= 2 x 8 + 2 x 4
name the property illustrated by this equation -5 x 1 = -5
The property illustrated in this equation is the distributive property.
To see why, let's break down the equation. We have:
2 x (8 + 4)
Inside the parentheses, we have the expression (8 + 4) which evaluates to 12. So we can rewrite the equation as:
2 x 12
Now, using the distributive property, we distribute the 2 to both terms inside the parentheses:
2 x 8 + 2 x 4
This gives us:
16 + 8
And simplifying further, we get:
24
So, the distributive property states that when you have a number (in this case, 2) multiplied by a sum of two or more terms (in this case, 8 + 4), you can distribute the multiplication to each term separately and then perform the addition.