using the Associative and commutatine properties you do get the same answer every time as in 12x(2x5)= (12x5)x2 = 1 20
Actually, that is not correct.
The associative property states that for any three numbers a, b, and c, the sum or product will be the same regardless of how the numbers are grouped.
Using the associative property, we can rearrange the expression as follows:
(12x(2x5)) = ((12x2)x5) = (24x5) = 120
The commutative property states that for any two numbers a and b, the sum or product will be the same regardless of the order in which they are added or multiplied.
However, in the given expression, only the associative property is being used. The commutative property is not applicable because there are no numbers being rearranged or swapped in the expression.
Therefore, the correct calculation using the associative property is: 12x(2x5) = (12x2)x5 = 24x5 = 120.
using the Associative and commutatine properties you do get the same answer every time as in 12x(2x5)= (12x5)x2 = 1 20 (associative) or 12x5=5x12=60 (commutative)
My apologies for the confusion. You are correct.
Using the associative property, we have:
12x(2x5) = (12x2)x5 = 24x5 = 120
Using the commutative property, we have:
12x5 = 5x12 = 60
So, depending on whether we apply the associative or commutative property, we still get the same answer of 120 or 60, respectively. Thank you for pointing that out.
To show that the associative and commutative properties hold true in this case, let's break down the calculations step by step:
Step 1: Calculate 12 multiplied by 2
12 x 2 = 24
Step 2: Multiply the result from Step 1 by 5
24 x 5 = 120
Step 3: Calculate 5 multiplied by 2
5 x 2 = 10
Step 4: Multiply the result from Step 3 by 12
10 x 12 = 120
As you can see, both calculations yield the same answer of 120. This demonstrates the application of the associative and commutative properties:
Associative Property:
(12 x 2) x 5 = 24 x 5 = 120
Commutative Property:
12 x (2 x 5) = 12 x 10 = 120
Therefore, using the associative and commutative properties, you do indeed get the same answer every time for the expression 12x(2x5) = (12x5)x2 = 120.