Lesson 9: foundations for algebra unit test 4. which property is illustrated by the following statement? 3c(-5) = (-5)3c a. commutative property of addition b. associative property of addition c. commutative property of multiplication d. inverse property of multiplication 5. which property is illustrated by the following statement? 8+3.4=3.4+8 a. associative property of additon b. inverse property of multiplication c. commutative property of addition d. inverse property of addition 8. to which subset of real numbers does the following number belong? square root of 30 a. whole numbers, natural numbers, integers b. rational numbers c. irrational numbers d. whole numbers, integers, rational numbers

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

We have to determine to which set of numbers does the square root belong?

= 5.47722557505....

This number is non-terminating and non-repeating decimal number. Hence, it is an irrational number. So the correct answer is C.

the first one, all those points on the line just make a strait line.

step-by-step explanation: