2017­5­15 irrational numbers.notebook
May 15, 2017
Today is Mon
5/15/17
Do Now:
-Take out HW
-Take calculator
-Copy down HW
-Irrational #'s W.S.
-Test over roots/classifying #'s
Thursday 5/18
Warm UP
Tami thinks that 3
Olivia thinks that 64 is greater than 17
is greater.
4
Who is correct?
17
4
2017­5­15 irrational numbers.notebook
HW ANSWERS
Today's Objective:
Introduction to Irrational Numbers
This phone seems irrational!
May 15, 2017
2017­5­15 irrational numbers.notebook
May 15, 2017
Remember....
Every repeating decimal is a rational number, including
terminating decimals, where 0 is repeated.
What about numbers that do not terminate and do not
repeat?
0.030030003000030000030000003...
Irrational Numbers
a non repeating, non-terminating decimal, that cannot
a
be written in the form
.
b
Some famous irrational numbers
2
*All non-perfect square are irrational
numbers.
2017­5­15 irrational numbers.notebook
May 15, 2017
A rational number is a number that can be written as the ratio of
two integers. An irrational number cannot be written as the ratio
of two integers.
The square root of any whole number that is not a perfect square
is irrational. The cube root of any integer that is not a perfect
cube is irrational.
The decimal form of an irrational number neither terminates nor
repeats.
2017­5­15 irrational numbers.notebook
May 15, 2017
Classify each real number.
Use as many of the following
that apply: whole numbers, integers, rational numbers,
and irrational numbers. Classify each of the following. Use as many of the following
that apply: whole numbers, integers, rational numbers,
and irrational numbers. ­5 25 35 Classify the real number.
0.121221222 . . .
2017­5­15 irrational numbers.notebook
May 15, 2017
What about these...
4
-2
0
Ordering Irrational Numbers
3
,
0 0.5 1
,
1.5 2 2.5 3 3.5
1.2
2017­5­15 irrational numbers.notebook
May 15, 2017
Place the following numbers on a number line
4
­5
1
3
2
­4
­3
­2
­1
- 4.25
0
1
2
3
Comparing Irrational Numbers
to compare, approximate the square root
3 +5
1.7 + 5
6.7
5
2.2
+3
+3
5.2
4
5
2017­5­15 irrational numbers.notebook
May 15, 2017
Practice:
Compare using < , > , or =
+2
2
+ 10
12 + 3
3
+ 12
10
10 -
8
12 -
2