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Empty Set Detective

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About this activity

Math clues about sets and counting

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Lebanon

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Empty Set Detective
 

Empty Set DetectiveOnline version

Math clues about sets and counting

by Hidden Author
1

1) A box has nothing inside. What kind of set is it?

Hints

If there are no objects, what is the set called?

Think of a set with zero elements.

2

2) A group has no trees. How many members are in the set?

Hints

Count the objects in the group.

No items present means zero.

3

3) A box contains three balls. How many members are in the set?

Hints

Each ball adds one member to the set.

Count the items inside.

4

4) A group contains four trees. How many members are in the set?

Hints

Each tree is a member of the group.

Look at how many objects are present.

5

5) A set has zero objects. Is it empty or non-empty?

Hints

Recall the definition of empty.

Zero objects means there are none.

6

6) A set has five trees. Is it empty or non-empty?

Hints

If at least one item is in, it is non-empty.

There are objects present.

7

7) You point to each object and count. What do you find at the end?

Hints

The result is the sum of all members.

Counting ends with a final number.

8

8) A set has 4 counters. What is the total number of members?

Hints

Each counter is one member.

Count the counters.

9

9) A set contains one box. How many members does it have?

Hints

Open your eyes to the lone object.

Single item present gives one member.

10

10) What number of objects must an empty set contain?

Hints

There are no objects in an empty set.

By definition, empty = zero.

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