1. TEK: 8.2C Convert between standard and scientific notation

2. Guided Questions
When using scientific notation, what does a zero exponent mean? As positive exponent? A negative exponent?
How do you know where to place the decimal when converting from standard form to scientific notation form?
How do you compare and order numbers in scientific notation form?

3. Vocabulary
Scientific notation

4. SCIENTIFIC NOTATION
... a different way to express numbers

5. A number written in Scientific Notation
has three parts…
A number greater than one but less than ten
A power of ten
A multiplication sign

6. Standard Form to Scientific Notation:
Move the decimal point so that the number is greater than one but less ten .  
(2) Remove any insignificant zeros.
(3) Count number of decimal places the decimal has "moved" from the original number.  This will be the exponent of the 10.  
(3) If the original number was a small number, the exponent is negative; if the original number was a big number, the exponent is positive.

7. Try the following Problems:
61,500 =
84,960,000 =
321 =

8. REMEMBER: the first number must be greater than 1,but less than 10.= = =
REMEMBER: the first number must be greater than 1,but less than 10.
Therefore, the number before the decimal point can be 1, 2, 3, 4, 5, 6, 7, 8, or 9.

9. Scientific Notation to
Standard Form:

10. Scientific Notation to Standard Form:
Move the decimal point the same number of spaces as the exponent.
Positive exponents = big numbers, so move the decimal point to the RIGHT.
Negative Exponents = small numbers so move the decimal point to LEFT
Fill in any empty spaces with zeros and rewrite the number.

11. Try the following problems
109,000
42,273

12. Comparing Numbers in Scientific Notation:

13. Comparing Numbers in Scientific Notation:
First compare the powers of ten.
Then compare the decimal values.

14. Try the following problems
Refer to the table at the right. Order the countries according to the amount of money visitors spent in the United States from greatest to least.
United Kingdom, Canada, Mexico, India.
Tell whether the following number is correctly written in Scientific Notation. Explain how you know.
No, because 16.2 is not a number between one and ten. It should be 1.62 x 105

15. Guided Questions (you should be able to answer)
When using scientific notation, what does a zero exponent mean? As positive exponent? A negative exponent?
How do you know where to place the decimal when converting from standard form to scientific notation form?
How do you compare and order numbers in scientific notation form?