1. Scientific Notation

2. Scientific Notation
Scientific notation is used to denote very large or very small quantities.

3. Scientific Notation
Scientific notation is used to denote very large or very small quantities. Scientific notation is useful to accurately depict significant figures.

4. Positive Exponents
10 0 =1

5. Positive Exponents
10 0 = =10

6. Positive Exponents
10 0 = = =10×10=100

7. Positive Exponents
10 0 = = =10×10= =10×10×10=1000

8. Positive Exponents
10 0 = = =10×10= =10×10×10= =10×10×10×10=10000

9. Positive Exponents
10 0 = = =10×10= =10×10×10= =10×10×10×10= =10×10×10×10×10=100000

10. Negative Exponents
10 −1 = 1 10 =0.1

11. Negative Exponents
10 −1 = 1 10 = −2 = 1 10×10 =0.01

12. Negative Exponents
10 −1 = 1 10 = −2 = 1 10×10 = −3 = 1 10×10×10 =0.001

13. Negative Exponents
10 −1 = 1 10 = −2 = 1 10×10 = −3 = 1 10×10×10 = −4 = 1 10×10×10×10 =0.0001

14. Negative Exponents
10 −1 = 1 10 = −2 = 1 10×10 = −3 = 1 10×10×10 = −4 = 1 10×10×10×10 = −5 = 1 10×10×10×10×10 =

15. 5,943,000,000 is 5.943× 10 9

16. 5,943,000,000 is 5.943× is 8.32× 10 −5

17. Multiplication in Scientific Notation
10 𝑛 × 10 𝑚 = 10 𝑛+𝑚

18. Multiplication in Scientific Notation
10 𝑛 × 10 𝑚 = 10 𝑛+𝑚 10 2 × 10 5 = = 10 7

19. Multiplication in Scientific Notation
10 𝑛 × 10 𝑚 = 10 𝑛+𝑚 10 2 × 10 5 = = × = =

20. Division in Scientific Notation
10 𝑛 10 𝑚 = 10 𝑛 × 10 −𝑚 = 10 𝑛−𝑚

21. Division in Scientific Notation
10 𝑛 10 𝑚 = 10 𝑛 × 10 −𝑚 = 10 𝑛−𝑚 = 10 3 × 10 −8 = 10 −5

22. Division in Scientific Notation
10 𝑛 10 𝑚 = 10 𝑛 × 10 −𝑚 = 10 𝑛−𝑚 = 10 3 × 10 −8 = 10 − = 10 7 × 10 −4 = 10 3