Download 7.2 Powers of 10 and Scientific Notation

7.2 Powers of 10 and
Scientific Notation
Pg. 452
Definition
• Powers of 10
– Exponential form, where the base is 10 raised to
some power
4
4
10 
4
10 
• Scientific Notation
10  10000
1
10 
10000
4
– All numbers can be represented as a number
between 1 and 10, times 10 raised to a power
4657
.000046
4.657 x 10
4.65 x 10
3
5
Knowledge
• Scientific Notation Numbers
– Numbers that are … something times 10 raised to a
power
– When converting to Decimal Notation
• Negative Exponents (powers), will move the decimal point
to the left
• Positive Exponents (powers), will move the decimal point
to the right
• Decimal Notation
– Any number that is not … times 10 raised to a
power
– When converting to Scientific Notation
• Moving the decimal point to the right will have a negative
exponent on the “10”
• Moving the decimal point to the left will have a positive
exponent on the “10”
Powers of 10
• Each time you divide by 10, the decimal point
moves one place to the left
• Each time you multiply by 10, the decimal
point moves one place to the right
Power
Value
10
3
1000
10
2
100
1
10
10
10
1
0
10
1
1
 0.1
10
10
2
1
 0.01
100
10
3
1
 0.001
1000
Example #1, Evaluating Powers of 10
• Find the value of each power of 10.
– Always start with “1” and move the decimal point
10
3
10
2
10
0
Example #2, Writing Powers of 10
• Write each number as a power of 10
10, 000, 000
0.001
10
Example #3, Multiplying by Powers of 10
• Find the value of each expression
97.86 x 10
6
19.5 x 104
853.4 x 10
0.163 x 10
5
2
Homework
• Pg. 455, 14 – 42 Even