1. Multiplying and Dividing in Scientific Notation

2. 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

3. Example 1
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

4. Given: (2.93 X 10-2) • (8.3 X 10-5) Example 2
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

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

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

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

8. Practice Quiz Questions
Write these 2 numbers in scientific notation:
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 = ?