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Scientific Notation
Part I: Recognizing Scientific Notation
Determine if the following numbers are written in scientific notation. If not, write the
numbers in scientific notation.

16.476 x 10-7

0.1342 x 108

6 x 1012

4222 x 10-7

4.0999 x 10-8

0.0054 x 10-15
Part II: Writing a Number in Scientific Notation
156,444,000,000
0.000000181
117,000,000,000,000,000
0.000000000000000003
Part III: Writing a Number in Scientific Notation
Simplify. Write each answer in scientific notation.
10(9.3 x 107)
50(9 x 1074)
8(0.15 x 10-10)
3(6.77 x 10-1)
Part IV: Writing a Number in Standard Notation
19. 5 x 108
2.32 x 10-7
3.2 x 10-10
156.07 x 104
Part V: Ordering Numbers Using Scientific Notation
1. List the numbers in order from greatest to least.
3.7 x10-10
3.71 x 10-10
3.7 x 10-11
2. Order the numbers in the list from least to greatest.
1.17 x10-2
1.087 x10-5
10-3
1.11 x 10-3
3.69 x 10-11
1.1 x 10-5
Name: __________________ Date: ________ Period: __________
Zero and Negative Exponents
Simplify each expression.
1.
4 3 x 0 y 9 z 4
2.
17 x9 y 1
3.
4.
22 y 8
x 2 w
5.
24 p 9
31 q 4
6.
r7
s 33t 10
43 x 0 y 7 z 3
8  2 u  2 w0
Evaluate each expression for p = 4 , q = –2 , z = –3 and r = 0.
7.
10.
13.
( p)2 (q)3
qz zq
 pr
( z) z
pp
8.
11.
14.
 pr qr z r
( p) z q r
r
2q 3
p 1
9.
12.
15.
( q ) 2 q 4 2 z
5rq 7 z r
4p
zp
pr