Download Exponents and Polynomials

Chapter 7
Exponents and Polynomials
Objectives for this chapter:
-Evaluate expressions containing integer exponents
-Simplify expressions containing integer exponents
-Evaluate and multiply by powers of 10
-Convert between standard notation and scientific notation
-Multiply two or more numbers that are written in scientific notation
-Use multiplication properties of exponents to evaluate and simplify
expressions
-Use division properties of exponents to evaluate and simplify expressions
-Classify polynomials and write polynomials in standard form
-Evaluate polynomial expressions
-Add and subtract polynomials
-Multiply polynomials
-Find special products of binomials
7.2 Powers of Ten & Scientific Notation
1
= 10
2
= 10 x 10 =
10
10
10 3 = 10 x 10 x 10 =
10
4
= 10 x 10 x 10 x 10 =
n
If n is a positive integer, find the value of 10 by starting
with 1 and moving the decimal point n places to the right.
10
-1
=
1
10
=
10
-2
1
= 100 =
10
-3
1
= 1000 =
n
If n is a negative integer, find the value of 10 by starting
with 1 and moving the decimal point n places to the left.
Find the value of each power of 10:
10
10
10
6
-5
8
Write each number as a power of ten.
10,000
0.0000000001
100,000,000
0.000001
Find the value of each expression.
6
650.3 x 10
650.3 x 10
-6
92 x 10
3
92 x 10
-3
Scientific Notation:
Write the number in Scientific Notation:
3,680,000
0.0000034
Write the number in Scientific Notation:
4
25.3 x 10
25.3 x 10
-4
0.123 x 10
8
-8
0.123 x 10
Order from least to greatest:
-3
5.85 x 10
-1
2.5 x 10-1
8.5 x 108
3.6 x 10
8
8.5 x 10
Multiply. Write the product in scientific notation.
(3.1 x 10
4
)(2.0 x 106 )
6
-8
(5.0 x 10 )(1.4 x 10 )
-3
(8.3 x 10 -5)(9.1 x 10 )
More Multiplication!
7
(9.72 x 10 )(8.0 x 10 -6)
-9
8
(4.5 x 10 )(3.6 x 10 )