Note: LHS means left-hand side of the equation and RHS means right-hand side of the equation
Question 4
3c(-5) = (-5)3c
The LHS of the above expression can also be written as 3 * c * (-1) * 5
The RHS of the above expression can also be written as (-1) * 5 * 3 * c
Since, this expression involved multiplication, it will definitely represent a multiplicative property. Since the order of the numbers that are being multiplied has been changed between LHS and RHS, and it is yielding the same result, it indicates that this is the commutative property of multiplication. This property states that a group of numbers can be multiplied in any order. Hence, the answer is C.
Question 5
8+3.4=3.4+8
In the above, the order of the numbers being added has been changed across RHS and LHS, but is yielding the same result, it is representing the commutative property of addition. This property states that a group of numbers can be added in any order. Hence, the correct answer is C.
Question 8
[tex]\sqrt{30}[/tex]
We have to determine to which set of numbers does the square root belong?
[tex]\sqrt{30}[/tex] = 5.47722557505....
This number is non-terminating and non-repeating decimal number. Hence, it is an irrational number. So the correct answer is C.
