Properties of Numbers

Sara has 5 red marbles and 7 blue marbles. If she combines them, how many marbles does she have in total? Is this an example of the closure property?

• 12 marbles, Yes

• 12 marbles, No

• 35 marbles, Yes

• 35 marbles, No

Choose the pair of numbers that demonstrates the commutative property of addition.

• 3 + 4 = 7 and 4 + 3 = 7

• 5 × 2 = 10 and 2 × 5 = 10

• 6 - 2 = 4 and 2 - 6 = -4

• 9 ÷ 3 = 3 and 3 ÷ 9 = 1/3

Which of the following demonstrates the closure property of addition for whole numbers?

• 7 - 8 = -1

• 7 × 8 = 56

• 7 + 8 = 15

• 7 ÷ 8 = 0.875

Which of the following shows an example of the identity property?

It is like looking at a mirror.

• 23 + 12

• 46 + 1

• 34 x 0

• 24 x 1

Which property is demonstrated by the equation 14 × (13 × 16) = (14 × 13) × 16?

• Commutative Property

• Associative Property

• Identity Property

• Distributive Property