Lesson 1 9 a
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This math lesson teaches how to convert numbers between scientific notation and standard form. Scientific notation requires one digit before the decimal and a positive or negative exponent. Numbers with a positive exponent in scientific notation do not include a decimal in standard form, while a negative exponent results in a decimal standard form. Examples are provided converting numbers between scientific notation and standard form.
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Lesson 1 9 a
- 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