1. SCIENTIFIC NOTATION Essential Question?
How can you use scientific notation to represent very large and very small quantities?
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3. Using Scientific Notation
SCIENTIFIC NOTATION is a method of expressing very large and very small numbers as a product of a number greater than or equal to 1 and less than 10, and a power of 10.
It is expressed in the form:
𝐚× 𝟏𝟎 𝒃 , 𝒘𝒉𝒆𝒓𝒆 𝟏≤𝒂<𝟏𝟎
Example: 𝟐.𝟕𝟑× 𝟏𝟎 𝟓
A number ≥ 1
and
< 10
A power of 10

4. Standard Notation
When a number is written out the ordinary way, it is called STANDARD NOTATION.
Example:
Standard Notation: 𝟐𝟕𝟑,𝟎𝟎𝟎
Scientific Notation: 𝟐.𝟕𝟑× 𝟏𝟎 𝟓

5. Scientific Notation Examples: 3,780,000,000,000 = 0.00000064 =
12 jumps left =
7 jumps right

6. Large Numbers 46,000,000 = 620,000,000,000 = Small Numbers 0.000538 =
7 jumps left
620,000,000,000 =
11 jumps left
Small Numbers =
4 jumps right =
6 jumps right

7. Write using scientific notation. 1) 63,000 4) 0.00087
4 jumps left
4 jumps right
2) 7,245,000 5)
6 jumps left
5 jumps right
3) 50,000,000,000 6)
10 jumps left
7 jumps right

8. Write each number in standard form.1) 4)
3.6
3.41
360,000 2) 5)
8.43 4
400,000,000 3) 6)
2.64 7
2,640,000,000

9. Will the solution be a negative number or a positive number?
SCIENTIFIC NOTATION
Which is equivalent to 8.03 x 10-8 ?
-803,000,000
803,000,000
Will the solution be a negative number or a positive number?

10. Solving Problems Using Scientific Notation
According to the WWF,  the city of Iquitos in Peru, along the Amazon River, receives an average monthly rainfall of mm. Approximately how many years would it take for the rainfall to reach × 10 4 mm?