Topic: Real Number System (day 1)

Warm-Up:
1. What is a real number? Give some examples.
2. What is a square root? How does it work?
Give some examples.
*3. Some numbers are called perfect squares.
What do you think that means? How do
you think the name perfect square came
about?

Homework: Complete Worksheet

Finding the square root of a number is the opposite
of squaring that number.

You need to find what number can be multiplied by

itself to get the number under the square root sign.

We can calculate the square root of numbers that

are perfect squares.

Ex
:
o = 10 because 00 10
. = 100

56 = 66/26 %
6 =
36
Rational #s : can be written as a Irrational #s :

fraction cannot be
expressed
= 0 .
5 *
Repeating decimals can as a traction
8 . 25
be expressed as a fraction
* decimals that
go
on forever with
↑
Integers 5 . .
%2 ,
-1
,
0
,
1
,
2 .
3 no
pattern
-

46
Whole 58 1 2 3 3 T
To
...

, , ,

Natural
E1 ,
2, 3 ...

3 I
⑬
F
 Real Numbers
Rational Irrational
fractions, decimals that decimals that never end
end or have a pattern and do not have a pattern

Integers
positive and negative values
that do not include fractions or decimals

Whole Numbers
the set of zero and positive integers

Natural Numbers
counting numbers always starting with 1
REAL
Classify each number as: real, rational, irrational,
integer, whole, and/or natural.
1. -5 2. 0 3. 2/3
Real Real Real
Rational Rational Rational
Integer Integer
Whole

4. -5 1/8 5. √9 Real 6. 1.888...

Real Rational Real
Rational Rational
Integer
Whole
Natural
7. Pi 8. -14.12 9. √20
Real Real Real
Irrational Rational Irrational

10. 8.65021834...
Real
Irrational