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 0,1,2,3…

Integers -3,-2,-1,0,1,2,3…

Rational numbers -1, -½, 0, .5, 1…

Irrational numbers 1, , 2

Three dots in the lists of the whole numbers and the integers indicate that the lists continues without end.

2

Real number line

Graph the real numbers 7.2,2,4

3and

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 a+b and ab are real numbers

Commutative a+b=b+a ab=ba

Associative (a+b)+c=a+(b+c) (ab)c=a(bc)

Identity a+0=a a•1=a

Inverse a+(-a)=0 a•1/a=1 a≠0

Distributive 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

feet

mile

hour

onds

ond

feet

5280

1

1

sec3600

sec1

88

60 miles per hour

Money ExchangeYou 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