Download NAME: Number Sets We group numbers into different categories

NAME:__________________________________
Number Sets
We group numbers into different categories. We will talk about several different ones and how they are
related.
1. The Natural numbers (also known as the ___________________ numbers)
 Thinks of these like counting on your hand. They are 1, 2, 3, 4, 5, 6, 7 …......and so on.
 How many natural numbers are there? ______________________
2. The Whole numbers
 The same as the Natural numbers but it includes _______________.
3. The Integers
 These are the same as the Whole numbers but it ALSO includes ________________________.
So …...-4, -3 , -2, -1, 0, 1, 2, 3, 4............
4. The Rational numbers
These are any positive or negative numbers that can be written as a _________________.
Numbers that can be written as a fraction include:
 The Natural numbers and integers. For example we can write
3 as ________
and 5 as _______
and -7 as __________
 Zero because 0 can be written as a fraction as _____________
 Any decimal that ends (does not repeat). For example we can write these as fractions:
0.12 = _____________
1.2 = _________________
0.012 = ________________
 Any decimal that goes on forever AND repeats. If the decimal REPEATS, we can find a
fraction for it. Some examples are:
0.33 = _________
.1212 = _____________
.111 = ______________
5. The Irrational numbers
Any number that CANNOT be written as a _______________. These are ONLY decimal that
__________________________ AND __________________________.
If a decimal goes on forever with no pattern, we notate it with dots (…) after a while.
Examples of Irrational numbers:
3.240294........
π = 3.14159.....
2.34323........
6. The Real Numbers
The Real numbers are the _______________ and ___________________ numbers combined.
The Real numbers are ALL of the numbers we will use this year in one combined set.
Examples:
___________
__________________
______________
Relationship between number system diagram:
_______________
With your partners, try and figure out which number sets these numbers belong to. Remember, numbers
can belong to MORE THAN ONE number set! Find them all!
a) 15:____________________
b) 23.5:________________________
c) π :____________________
d) 15/17:____________________________
e) -7:____________________
f) 3.123 :____________________________
HOMEWORK
g) 6.145242435..... :_________________ h) 2.546161 :_______________________
I) -10,000 :______________________
j) 42 :____________________________
Name a Real number between 1 and 1.0001:_______________________________
Name an irrational number between 1 and 1.2:_________________________________
Can you think of an example where you add two irrational numbers and get a rational
number? Give it below:
Can you add two Natural numbers together and get an integer? Give an example:
What about adding two Fractions (rational numbers) and getting a Natural
Number? Give an example: