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Inclusion Real: A Riddle Trail

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Inclusion Real: A Riddle Trail

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About this activity

Explore how real sets fit together

Created by

Yhinel Santana Batista
Yhinel Santana Batista
Dominican Republic

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Inclusion Real: A Riddle Trail
 

Inclusion Real: A Riddle TrailOnline version

Explore how real sets fit together

by Yhinel Santana Batista
1

I am a starting point for counting, yet not all of me is whole. I begin with one and can go on forever; what am I where integers are near?

Hints

I are the building blocks for other sets like integers

Sometimes called counting numbers

I include 1, 2, 3, ...

2

I am the set of whole numbers with no fractions or decimals. Add 0, and I am still whole. What am I called?

Hints

Commonly denoted by {0,1,2,...}

No fractions or decimals allowed

Includes 0

3

I am a step beyond counting, where negatives join the party. What set holds ..., -2, -1, 0, 1, 2, ...?

Hints

I is denser than natural numbers

I include zero

I contain both positive and negative numbers

4

I am all fractions obtainable by dividing integers, with ration as my center. What set includes 1/2, 3/4, 5/1?

Hints

Every element is a fraction a/b with b ≠ 0

Decimals may terminate or repeat

Made from ratios of integers

5

I am a bigger stage where decimals may never settle, yet I still contain fractions. I include irrational stars like pi and sqrt(2). What am I?

Hints

My symbol is a horizontal line with a double stroke

Includes all rationals too

Some numbers have endless non-repeating decimals

6

I am a set that contains all real numbers but not all numbers you may imagine in geometry. What am I called, being all possible real values?

Hints

Used to plot real-valued functions

Each point corresponds to a real value

Represents all real numbers on a line

7

I am the rule saying one thing is inside another. When A is inside B, we say what?

Hints

Key idea in inclusions

Used to compare size of sets

A contains all elements of B?

8

Sometimes we compare how many things are in a union or separate parts. Which operation helps us count distinct items from A and B?

Hints

Common in probability and combinatorics

Helps avoid double counting

Deals with overlaps in sets

9

I am the smallest unit distance on the real line between two distinct real numbers. What am I?

Hints

Nonnegative by definition

On the line, it measures gap

Distance is the absolute value of difference

10

I link the real numbers to complex numbers by adding an imaginary counterpart. What inclusion am I describing?

Hints

Defines how complex numbers extend reals

C contains R as a part of it

Every real number is a complex number with zero imaginary part

 
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