1. Scientific Notation with Positive Powers
2.2

2. Explore Activity
Complete page 39 with a partner

3. Definitions: 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 1and less than 10
and a power of 10.

4. Scientific Notation Expression
Scientific notation is expressed in the following form
a x 10n
Where a is between 1 and less than 10
And n is an integer

5. Example 1: Write 4,776 in scientific notation
Step 1: Place the decimal immediately to the right of the left most nonzero number. This should give you a number between 1 and 10
4.776
Step 2: Count the number of digits between the old and new decimal point. This gives the power of, n of 10 (10n)
4.776 x 103
Step 3: Since the decimal is shifted to the left, the exponent is positive
Final answer= x 103

6. Practice
84,000
= 8.4 x 104
10,250,000
= x 107
1,500
=1.5 x 103

7. Practice: pg 40 # 3-5
# x 103
# x 1011
# x 1012 km

8. Writing a number in standard notation
Example: Write x 104 in standard form
Step 1: Write the decimal number
4.953
Step 2: move the decimal the number of places specified by the powers of ten: to the right since it is positive
49,530 (move the decimal 4 places to the right)
Step 3: Rewrite the number in integer/standard form
49,530

9. Practice
2 x 104
= 20,000
6.31 x 105
=631,000
x 108
= 804,250,000

10. Practice: Page 41 # 6-10
# ,034,000,000
# ,000
# ,000,000g

11. Worksheet
Multiple practice worksheet