Question

1 Tell which property the statement illustrates.Commutative Property of Addition ( CPA)Commutative Property of Multiplication ( CPM)Associative Property of Addition (APA)Associative Property of Multiplication ( APM)1. 5 x p = p x 5 CPM2. 2 + ( 12 + r) = (2 + 12) + r3. 4 x ( a x 10) = (4 X a) x 104. x + 7.5 = 7.5 + x

Answer 1

SOLUTION:

Step 1:

The commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The property holds for Addition and Multiplication, but not for subtraction and division.

Step 2:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.

Step 3:

1. 5 x p = p x 5 = Commutative Property of Multiplication ( CPM)

2. 2 + ( 12 + r) = (2 + 12) + r = Associative Property of Addition (APA)

3. 4 x ( a x 10) = (4 X a) x 10 = Associative Property of Multiplication ( APM)

4. x + 7.5 = 7.5 + x​ = Commutative Property of Addition ( CPA)

CONCLUSION:

1. There can be Commutative property of addition or multiplication depending on the operation that is involved (that is, + or x).

2. There can be Associative property of addition or multiplication depending on the operation is involved (that is, + or x).