1. Scientific Notation

2. Scientific Notation
Objective: To identify standard form and scientific notation and be able to convert from one to the other with ease

3. Scientific Notation What is standard form notation? Examples anyone?
It is how we normally write numbers …. How we have always learned to write numbers
650
1,700,000
0.005
Examples anyone?

4. Scientific Notation What is Scientific notation? Here are some
It is how scientists and engineers write numbers … it is ideal for writing very big numbers
Notice – there is only ONE number to the left of the decimal point …. always
6.5 • 102 (was 650)
1.7 • 106 (was 1,700,000)
5 • (was 0.005)
Here are
some
examples

5. Scientific Notation
How do you convert from standard form to scientific notation?
Step 2
Count the number of numbers to the right of where the decimal went … that will be the exponent
Step 1
Re-write the number with just ONE number to the left of the decimal point
1,200 is standard form
1.2
Positive exponent because number was greater than 1

6. 1.2 Scientific Notation What is the number is less than one
is standard form
Step 2
Count the number of numbers to the left of where the decimal went … that will be the exponent
Step 1
Re-write the number with just ONE number to the left of the decimal point
1.2
Negative exponent because number was less than 1

7. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation
750 •

8. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation
1,250,000

9. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation
7500

10. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation

11. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation
1.25

12. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation
0.0105

13. Scientific Notation
Let’s try some ….. Convert these standard form numbers to scientific notation
5,025,000

14. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation
Step 1
5,025,000
Look to see if the exponent is positive or negative …. Positive – move to right … neg move to left (like a number line)

15. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation
325,000

16. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation
1,300

17. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation

18. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation
750.3

19. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation

20. Scientific Notation
Now, how do we convert back from scientific notation to standard form notation
80,130