1. Check for Understanding
Express 5.43 x 10-3 in standard form.
Write these 2 numbers in scientific notation:
,000,000

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3. Success Starter

4. Multiplying and Dividing in Scientific Notation

5. Multiplying Numbers in Scientific Notation
Multiply the decimal numbers together.
Add the exponents to get the power of 10.
General formula:
(N X 10x) (M X 10y) = (N) (M) X 10x+y

6. Example 1

7. Example 2

8. You Try
3.4 X 105 • 4.6 X 109

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10. Dividing Numbers in Scientific Notation
Divide the decimal numbers.
Then subtract the exponents
General formula:

11. Example 1

12. Example 2

13. You Try

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15. Daily Double!!!

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17. First Five

18. Independent Practice Page 222 #1, 2 Page 223 #1-6 Page 225 #17-19
Advanced Problems: Page 222 #3 and 225 #24
Check your work as you go to make sure you’re doing the problems right!!! Answer key is at my desk!

19. Example 1 Given: (2.93 X 10-2) • (8.3 X 10-5)
Multiply Decimals: 2.93 X 8.3 =
Add Exponents: 10-2 x 10-5=10-2+(-5)=10-7
Answer: X 10-7
Rewrite in Scientific Notation
Final Answer: X 10-6

20. Example 2
Given: X 105 • X 109
Multiply decimals: 3.42 X 4.67 = 15.97
Add Exponents: 105 x 109=105+9=1014
Preliminary Answer: X 1014
Now, Rewrite in Scientific Notation if needed.
Final Answer:
1.597 X 1015

21. Example 1
Given: 8 • 10-3
2 • 10-2
Divide decimals: 8÷2 = 4
Subtract exponents: (-3)-(-2)= -1
Final Answer: 4 •10-1

22. Example 2
Given: X 102
1.23 X 10-5
Divide decimals: ÷ 1.23= 2.81
Subtract exponents: =7
Answer: X 107

23. Practice Quiz Questions
Write these 2 numbers in scientific notation:
,000,000
Question 2
Express 5.43 x 10-3 in standard form
Question 3
(4.5 x 10-14) x (5.2 x 103) = ?
Question 4
(6.1 x 105)/(1.2 x 10-3) = ?
Question 5
(3.74 x 10-3)4 = ?