Download 2016-09-09 Classifying and Converting Numbers .notebook

2016­09­09 Classifying and Converting Numbers .notebook
September 09, 2016
Friday 9/9/2016
Do Now:
- Take out notebooks
- Take out syllabus
- Copy HW
Objective:
To Classify Numbers into their
Respective Sets
Classifying #'s Worksheet
May 3­10:17 AM
Name some Sets of Numbers and provide
examples of values that belong in those sets:
Aug 23­9:21 AM
Vocabulary:
Natural Numbers:
Whole Numbers: 0, 1, 2, 3...
Integers: whole numbers and their opposites
...­3,­2,­1,0,1,2,3...
Aug 18­2:38 PM
Sep 22­7:54 AM
2016­09­09 Classifying and Converting Numbers .notebook
September 09, 2016
Classify the following as whole, integer, rational.
Vocabulary:
Rational Number: is a number that can be a
written as a ratio in the form , where a and b b
are integers and b = 0.
­10
Examples : 1
2
2
3
3.2
4
Whole
Integer Rational
10
­9
2
3
What about 0.6? or 0.333333...?
Sep 22­8:09 AM
Aug 23­9:27 AM
Classifying Numbers
Every Rational Number can be
expressed as either a
terminating or repeating decimal.
Aug 23­9:26 AM
2
5 , 0.6, ­2 , ­24
3
Sep 22­8:14 AM
2016­09­09 Classifying and Converting Numbers .notebook
September 09, 2016
Irrational NumberEvery repeating decimal or terminating decimal is a
rational number
What do we call numbers that
do not terminate and do not repeat?
a nonrepeating, nonterminating decimal,
a
that cannot be written in the form
b
where a and b are integers (b = 0).
How can we prove these are irrational
numbers:
2
0.030030003000030000030000003...
Aug 31­10:30 AM
Aug 31­10:32 AM
Real Numbers: The set of rational and
irrational numbers combined
­7
Sep 22­8:13 AM
Aug 31­11:24 AM
2016­09­09 Classifying and Converting Numbers .notebook
September 09, 2016
True or False?
Every integer is a rational number.
Whole numbers can be negative.
Every rational number can be written as a repeating
decimal.
Aug 31­11:25 AM
Approximating Irrational Numbers
Using Square Roots of Perfect Squares :
You will get a rational number that is close to,
but not equal to the value of the number.
REMEMBER:
Aug 23­9:31 AM
Estimate the following, to the nearest tenth
without your calculator!!
71
19
Every nonperfect square falls between 2 perfect squares
Example:
30
Approximate the following numbers to the nearest
tenth
What perfect squares is 30 between?
205
14
Aug 31­10:36 AM
Oct 4­5:49 PM
2016­09­09 Classifying and Converting Numbers .notebook
Sep 6­1:44 PM
September 09, 2016