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Real Numbers and Number
Operations 1.1
Review using a number line to graph,
ordering real numbers, and properties of
addition and multiplication for real numbers.
Subsets of real numbers
Whole numbers
Integers
Rational numbers
Irrational numbers
0,1,2,3…
-3,-2,-1,0,1,2,3…
-1, -½, 0, .5, 1…
1, 2, 2
Three dots in the lists of the whole numbers and
the integers indicate that the lists continues
without end.
Real number line
Graph the real numbers
3
 , 2,and 2.7
4
Ordering numbers
Use a number line to order the real numbers
-5 and -7. After graphing, give an answer
using an inequality sign.
Properties of addition and
multiplication
Closure
Commutative
Associative
Identity
Inverse
Distributive
a+b and ab are real numbers
a+b=b+a
ab=ba
(a+b)+c=a+(b+c)
(ab)c=a(bc)
a+0=a
a•1=a
a+(-a)=0
a•1/a=1 a≠0
a(b+c)=ab+ac
Name the property
14+7=7+14
5•1/5=1
(3+9)+8=3+(9+8)
14•1=14
Means the same
The opposite can be referred to as the
additive inverse (a is –a).
The reciprocal can be referred to as the
multiplicative inverse of any non zero
number [a-b=a+(-b) and a/b=a•1/b, b≠0]
The difference of 7 and – 10 is:
17
The quotient of -24 and ⅓ is:
-72
Unit analysis
 88 feet  3600 sec onds  1mile 
 



1hour
 1sec ond 
 5280 feet 
60 miles per hour
Money Exchange
You are exchanging $400 for Mexican
pesos. The exchange rate is 8.5 pesos
per dollar, and the bank charges a 1% fee
to make the exchange. How much money
should you take to the bank if you do not
want to use part of the $400 to pay the
exchange fee?
3400 pesos
When you return from Mexico you have 425
pesos left. How much can you get in
dollars? Assume that you use other
money to pay the exchange fee (8.5 pesos
per dollar).
$50
Assignment 1-1
p. 7, 16-50 even, 51-58