Name the property of real numbers illustrated by the equation2·(8·7)=(2·8)·7answers are distributive property, associative property multiplication, communicative property, associative addition
The property of real numbers illustrated by the equation 2·(8·7)=(2·8)·7 is the associative property of multiplication.
To understand this property, let's break down the equation:
2·(8·7) means multiplying the numbers 8 and 7 together first, giving us 56. Then multiplying 2 by the result, 56.
Now, (2·8)·7 means multiplying 2 by 8, giving us 16. Then multiplying the result, 16, by 7.
Applying the associative property of multiplication, we can associate the parentheses differently without changing the final result. In other words, regardless of the grouping of the numbers, the final product will remain the same.
So, in conclusion, the equation 2·(8·7)=(2·8)·7 demonstrates the associative property of multiplication.