Download 2.1 Lesson

Pg. 60 pick 6 GI, 1 OE
1.) 152
4.) 729
7.) 21
10.) 408
13.) 15
2.) 10
5.) 0.5
8.) 128
11.) 12
3.) 6
6.) 1
9.) 12
12.) 11
14.) a. Mario’s account: I=7t, Andy’s account: I=4.5t
b. Mario’s
Andy’s
T(yrs)
1
2
3
4
5
T(yrs) 1
2
3
I ($s)
7
14
21
28
35
I ($s)
9
13.5 18
4.5
4
5
22.5
c. Mario’s account begins with $10 less than Andy’s
account. The tables show that after the 4th year Mario’s
account has earned $10 more in interest than Andy’s
15.) a. If s feet is the length of the side of the square
dance floor, then the length and width of the rectangular
dance floor are (s+15) feet and (s-10) feet. The
difference is 25 ft.
b. 45 ft, 20 ft. Length plus width equals ½ the perimeter,
so (s-10) + (s+15) = ½ (130) or 2s+5=65
c. 900 tiles. 20 ft x 45 ft = 900 ft. squared.
Pg. 62 #1-13
Lesson
Opener
2-1 The Real Number Line
• Real Numbers = the set of all positive and
negative numbers and zero
–
–
–
–
The point labeled zero is the ORIGIN
Negative numbers = the points to the left of zero
Positive numbers = the points to the right of zero
Real number line:
•
-5 -4 -3 -2 -1 0 1 2 3 4 5 6
• Plotting points = putting a dot on the number
line where the given number would be
• Opposites = two points that are the same
distance from the origin but on opposite sides
– Ex: Opposite of 3 = -3
Opposite of –8 = 8
• Absolute value = the distance between the
origin and the point representing the real
number
– Symbol = a
– Ex:
8  8
8 8
-a  a
• Counterexample = you come up with one
example to prove that a statement is false
Practice
Graph the numbers on a number line. Then
write two inequalities that compare the two
numbers.
• 1.) 3, -5, 0
• 2.) -0.1, -1.1, -1
• 3.)  1 ,  3 , 1
2
4 4
Practice 2
Find the opposites of the number
1.) 3.8
2.) -16
3.) 0
4.) -2.04
5.) 3 1
6.)  2
6
3
Evaluate the expression by finding absolute value
1
1.) 12
2.) 4.1
3.) 5
4.) -103
5.) 7.8
6.) -6.1  6.01
REAL NUMBERS
RATIONAL NUMBERS =
any # that can be written as a fraction
or RATIO
INTEGERS =
positive and negative
whole #s
WHOLE #s=
only positive
Summary
• The set of numbers consisting of the positive numbers,
the negative numbers, and zero are called
___________ ___________.
• The point labeled zero on the number line is called the
_______________.
• You can graph or plot points on a ___________
______________.
• The distance between the origin and the point
representing the real number is called the___________
___________.
• Two points that are the same distance from the origin
but on different sides are called___________.
Check Yourself
Pg. 67-70 # 14-50 e, 59, 61-62