Lilly wrote the equation below to demonstrate the commutative property. (2+3)+(3+4)=(3+4)+(2+3) Does her equation demostrate the commutative property?Explain why or why not.
http://rpdp.net/mathdictionary/english/vmd/full/c/mutativepropertyofaddition.htm
yes because it tells you what to multiply add or divide or subtract
To determine whether Lilly's equation demonstrates the commutative property, we need to understand what the commutative property actually is. The commutative property states that the order of numbers can be changed without affecting the result of addition or multiplication.
In the given equation, we have (2+3)+(3+4)=(3+4)+(2+3). This equation involves addition, so we are interested in whether we can change the order of the numbers without affecting the result.
Let's simplify both sides of Lilly's equation:
(2+3)+(3+4) = 5+7 = 12
(3+4)+(2+3) = 7+5 = 12
As we can see, both sides of the equation evaluate to the same result, which is 12. This means that the equation satisfies the commutative property since the order of the numbers can be changed without affecting the final result.
Therefore, Lilly's equation does demonstrate the commutative property because the order of the numbers in the addition operation can be changed without changing the sum.