Which property is this 7=(8+5)=(7+8)+5
In the equation 7 = (8 + 5) = (7 + 8) + 5, we can see that both sides of the equation are equal to 7. To understand which property is being used, let's break down the equation step by step.
Step 1: (8 + 5)
Here, we have an expression within parentheses. According to the order of operations (PEMDAS/BODMAS), we must evaluate the addition operation first. 8 + 5 equals 13.
Step 2: (7 + 8) + 5
Similarly, within these parentheses, we need to evaluate the addition operation first. 7 + 8 equals 15.
Now, the equation becomes 7 = 13 = 15 + 5.
Step 3: 15 + 5
Here, we again perform the addition operation. 15 + 5 equals 20.
Now, the equation becomes 7 = 13 = 20.
To determine which property is being used, we can observe that the equation is demonstrating the transitive property of equality. According to the transitive property, if a = b and b = c, then a = c.
In this case, we have 7 = 13 and 13 = 20, so we can conclude that 7 = 20.