Properties of Real Numbers

Properties of Real Numbers

Match

Match the number and the sets it belongs to.

• $$-4$$

• $$\sqrt[]{130}$$

• -18.2

• $$\frac{20}{4}$$

Z, Q, R

I, R

Q, R

N, W, Z, Q, R

• Z, Q, R

• I, R

• Q, R

• N, W, Z, Q, R

Match

Match the Property and its explanation

• order doesn't matter with multiplication and addition

• grouping doesn't matter with multiplication and addition

• keep the value/stays the same

• use the opposite to "cancel"

• anything multiplied by zero is zero

commutative property

associative property

identity property

inverse property

property of zero

• commutative property

• associative property

• identity property

• inverse property

• property of zero

Match

Match the property and its explanation

• multiplying a value to everything in parenthesis

• a value is equal to itself

• If a=b, then b=a

• If a=b and b=c, then a=c

distributive property

reflexive property

symmetric property

transitive property

• distributive property

• reflexive property

• symmetric property

• transitive property

Labeling

Match the property

Drag labels to their correct position on the image

commutative

transitive

symmetric

associative

identity

reflexive

inverse

distributive

property of 0

Open Ended

Is the set of integers closed under division? If it is not closed (give a counterexample)

Open Ended

Is the set of real numbers closed under addition? If it is not closed (give a counterexample)