Download Lesson 0-2 Real Numbers

Name_____________________________
Period______
Date______________
ALGEBRA 1
Chapter 0 Preparing for Algebra
Lesson 0 – 2 Real Numbers
UEQ: What previously learned skills from Pre-Algebra will be used throughout Algebra I ?
LEQ: _____________________________________________________________________________________________
CCS: N/A
Vocabulary
Positive Numbers – is the set of all numbers to the ____________________________ on a number line.
Negative Numbers – is the set of all numbers to the ___________________________ on a number line.
Zero – is the ___________ on a number line that is ________________________________________________________.
Natural Numbers – is the set of _______________________________________________________________________.
Whole Numbers – is the set of all ______________________________________________________________________.
Integers – is the set of all ________________________________________________________________ and _________.
Perfect Square – is a number that has been _________________, ex: ______________, so ________________________.
Principal Square Root – is the ________________________________ of a number, ex:___________________________.
Rational Numbers – is the set of all ______________, _____________, ________________, and any number that can be
written as a fraction where, the ______________________________ is either a __________________________ number
or a ____________________________________ number.
Irrational Number – is the set of all numbers written as a fraction where the _______________________________ is a
_______________________________________ number.
Real Numbers – is the set of __________________________________________________________________________.
Real Numbers
Rational Numbers
Integers
Whole
Natural
Irrational Numbers
Key Concept #1
Classifying Numbers
Directions: Name the set(s) of numbers to which each real number belongs.
1.
√9
_________________________________________________
2.
18
4
_________________________________________________
3.
√56
_________________________________________________
4.
5
22
_________________________________________________
Key Concept #2
Graphing and Ordering Real Numbers
Directions: Graph each set of numbers on a number line, then order the numbers from least to greatest.
5.
{
5
3
, −
4
3
,
2
3
1
, - 3 } Note, since all the denominators are the same, increment the number line in thirds.
Order: ________________________
6.
4
{ 6 5 , √49 , 6.3 , √57 }
Order: ________________________
Key Concept #3
Writing Repeating Decimal Numbers as Fractions
Directions: Write each repeating decimal number as a fraction.
5.
0.777…
6.
Let N = _________, then 10N = ________
Key Concept #4
0.23
Let N = _________, then 10N = _________
Simplifying Roots
Directions: Simplify each square root.
4
121
7.
√
8.
- √
49
256
Key Concept #5
Estimating Roots
Directions: Estimate each root to the nearest whole number.
9.
√15
10.
√34
11.
√97
Assignment:
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