Question 1: Which equation correctly applies the distributive property?


Options: (Requires 1 answer!)


A. -2.5 ⋅ 0.6 ⋅ 5.8 = -2.5 ⋅ 5.8 ⋅ 0.6

B. -1.5 ⋅ (6 ⋅ 1.25) = (-1.5 ⋅ 6) ⋅ 1.25

C. 70 + 2.082 = (70 ⋅ 2) + (70 ⋅ 0.02) + (70 ⋅ 0.008)

D. (0.7 ⋅ 0.7) + (0.7 ⋅ 0.9) + (0.7 ⋅ 0.2) = 0.7 ⋅ (0.7 + 0.9 + 0.2)


Question 2: Which equation applies the associative property of multiplication?


Options: (Requires 1 answer!)

A. (-1/2 ⋅ 4/7) + (-1/2 ⋅ 2/3) = -1/2 ⋅ (4/7 + 2/3)
B. (-9/4 ⋅ 3/2) ⋅ (6/3 ⋅ 5/7) = -9/4 ⋅ (3/2 ⋅ 6/3) ⋅ 5/7
C. -6/5 - (5/3 - 1/4) = (-6/5 - 5/3) - 1/4
D. 8/9 ⋅ 7/4 ⋅ (-5/8) = 8/9 ⋅ (-5/8) ⋅ 7/4

Question 3: Are the statements true or false?

Select True or False for each statement

Statement A: -6 ÷ 3 = 3 ÷ (-6) True or False?
Statement B: -8 ⋅ 9 = 9 ⋅ (-8) True or False?

Question 4: Sanjay bought 4 packages of bottled water. A package contains 25 bottles of water that cost $1.20 each. Sanjay can use the calculation below to find the total cost of the water

4 x (25 x 1.2)

How can Sanjay simplify the calculation using only the associative property of multiplication?

1.2, 4, (4 x 25), (25 x 1.2), or 25? (There are two correct answers)

Question 5: Which property is applied in the equation?

1/3 (1/2 + 2/3) = (1/3 x 1/2) + (1/3 x 2/3) ?

Options: (I do not know how many correct answers this question requires.)

A. Commutative Property of Multiplication
B. Associative Property of Multiplication
C. Distributive Property of Multiplication