1. Math Lesson 1-9 a and 1-9 b Scientific notation

2. Objective: Convert numbers in scientific notation and into standard form.

3. 2. For a number to be in scientific notation, there must be one number only in front of the decimal and that number cannot be zero.

4. Examples: 1.3 x 1𝟎𝟔 4.7 x 1𝟎−𝟑

5. 3. Scientific notation that has a positive exponent will not be a decimal when converted to standard form.

6. Example: Scientific notation: 𝟐 × 𝟏𝟎𝟓 Standard form: 200,000

7. 4. When converting a number in scientific notation that has a negative exponent, it will be a decimal in standard form.

8. Example: Scientific notation: 8.7 x 1𝟎−𝟒 Standard form: 0.00087

9. 1.56 x 1𝟎𝟒 15,600

10. 5 x 1𝟎𝟑 5,000

11. 8.654 x 1𝟎𝟔 8,654,000

12. 7.5 x 1𝟎−𝟔 0.0000075

13. 4.6 x 1𝟎𝟐 460

14. 4.6 x 1𝟎−𝟐 0.046

15. 9.572 x 1𝟎𝟓 957,200

16. 7 x 1𝟎𝟖 700,000,000

17. 7 x 1𝟎−𝟖 0.00000007

18. 8.7 x 1𝟎𝟔 8,700,000

19. 8.72 x 1𝟎𝟓 872,000