Transcript 2.2.Power of zero

Powers of Ten
and the
Zero Exponent
Topic 2.2
Exponent
Power
Repeated
Standard
Multiplication Form
5
55
5x5x5x5x5
3125
4
54
5x5x5x5
625
3
53
5x5x5
125
2
52
5x5
25
1
51
5
5
0
50
1
What happens to the standard form
when you increase the exponent by 1?
What happens to the standard form
when you decrease the exponent by 1?
Exponent
Power
Repeated
Standard
Multiplication Form
5
(-5)5
-5x-5x-5x-5x-5 -3125
4
(-5)4
-5x-5x-5x-5
625
3
(-5)3
-5x-5x-5
-125
2
(-5)2
-5x-5
25
1
(-5)1
-5
-5
0
(-5)0
1
How does the negative sign affect the
standard form answer?
Does the pattern of increasing and decreasing
Change with the negative base?
A Power of 10 always has a BASE of 10
and then any integer exponent.
Number in Words
Standard Form
Power
One Billion
1 000 000 000
109
One Hundred Million
100 000 000
108
Ten Million
10 000 000
107
One Million
1 000 000
106
One Hundred Thousand
100 000
105
Ten Thousand
10 000
104
One Thousand
1000
103
One Hundred
100
102
Ten
10
101
One
1
100
How are the exponent and the number of zeros
in the Standard Form related?
EXAMPLES
Write the following numbers using powers of 10:
234 =
200 + 30 + 4
(2 x 100) + (3 x 10) + (4 x 1)
(2 x 102) + (3 x 101) + (4 x 100)
3452 =
3000 + 400 + 50 + 2
(3 x 1000) + (4 x 100) + (5 x 10) + (2 x 1)
(3 x 103) + (4 x 102) + (5 x 101) + (2 X 100)
A power with an integer base, other
than 0, and an exponent 0 is always
equal to 1. n0=1 n≠0
20 =
1
130 =
1
(-5)0 =
1
EXAMPLES
Evaluate each expression:
40 =
1
(-4)0 = 1
10010 = 1
-40 = -1
-(-5)0 = -1
When does the exponent apply to the negative sign?
It applies to what is inside the bracket
(if no bracket it only applies to the number)
ASSIGNMENT
PAGE 61
DISCUSS: 1, 2, 3
# 4ac, 5, 6ace, 8ace, 9bce,
10, 11, 12, 13a, 14
Interactive Website For Powers of Ten
• http://www.learnalberta.ca/content/mejhm/i
ndex.html?l=0&ID1=AB.MATH.JR.NUMB&ID2=
AB.MATH.JR.NUMB.EXPO