name the property and explain
26×(2×8)=(26×2)×8
The property demonstrated in the equation 26×(2×8)=(26×2)×8 is the associative property of multiplication.
To understand this property, let's break down the equation:
On the left side, we have 26 multiplied by the result of 2 multiplied by 8. According to the order of operations (parentheses first, then multiplication), we first execute the operation inside the parentheses: 2 multiplied by 8, which equals 16. Then we multiply 26 by 16, resulting in 416.
On the right side, we have the result of 26 multiplied by 2, which equals 52. Then we multiply 52 by 8, giving us the same result of 416.
Therefore, since both sides of the equation give us the same result of 416, we can conclude that the multiplication operation is associative in this case. This means that no matter how we group the factors (in this case, 26, 2, and 8) within the parentheses, the result will remain the same.