1. Multiplying and Dividing

2. Multiplying in Scientific Notation

3. Multiplying… The general format for multiplying is as follows…
(N x 10x)(M x 10y) = (N)(M) x 10x+y
First multiply the N and M numbers together and express an answer.
Secondly multiply the exponential parts together by adding the exponents together.

4. Multiplying…
Finally multiply the two results for the final answer.
(2.41 x 104)(3.09 x 102)
2.41 x 3.09 = 7.45
10^4 * 10^2 = 10^(4+2) =10^6
7.45 x 106

5. Now it’s your turn.
Use the link below to practice multiplying numbers in scientific notation.
Multiplying in Scientific Notation

6. Dividing in Scientific Notation

7. Dividing… The general format for dividing is as follows…
(N x 10x)/(M x 10y) = (N/M) x 10x-y
First divide the N number by the M number and express as an answer.
Secondly divide the exponential parts by subtracting the exponent from the exponent in the upper number.

8. Dividing…
Finally multiply the two results together to get the final answer.
(4.89 x 107)/(2.74 x 104)
4.89 / 2.74 = 1.78
10^7 / 10^4 = 10^7-4 = 10^3
1.78 x 103

9. Now it’s your turn.
Use the link below to practice dividing numbers in scientific notation.
Dividing in Scientific Notation

10. Quick Check Time!!!