Which property is shown by 4+(5+6)=(4+5)+6 ?
Associative property :)
correct
The property shown by the equation 4+(5+6)=(4+5)+6 is the Associative Property of Addition.
The property shown in the equation 4 + (5 + 6) = (4 + 5) + 6 is called the associative property of addition. This property states that when adding three or more numbers, the grouping of the numbers does not affect the sum.
To explain how to get the answer, let's break down the equation step-by-step:
1. Start with the expression 4 + (5 + 6). This means we start by adding the numbers inside the parentheses first.
2. Inside the parentheses, we have 5 + 6. Adding these two numbers gives us 11.
3. Now we have the expression 4 + 11. Adding 4 and 11 gives us the sum of 15.
On the other side of the equation, we have (4 + 5) + 6:
1. Begin with the expression 4 + 5. Adding these two numbers gives us 9.
2. Now we have the expression 9 + 6. Adding 9 and 6 gives us the sum of 15.
Since both sides of the equation yield the same result (15), we can conclude that the equation demonstrates the associative property of addition.