1 / 26

Changing Units

Changing Units. Δ. The Problem. Example: You need to know an answer in μ g but your scale measures in mg. Sometimes you need a different metric prefix than you have. ( )(1) =. Math Fact # 1. Any quantity multiplied or divided by 1 does not change. Math Fact # 2.

hea
Download Presentation

Changing Units

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Changing Units Δ

  2. The Problem Example: You need to know an answer in μg but your scale measures in mg. Sometimes you need a different metric prefix than you have.

  3. ( )(1) = Math Fact # 1 Any quantity multiplied or divided by 1 does not change.

  4. Math Fact # 2 Any quantity divided by itself is equal to 1.

  5. Math Fact # 2EXAMPLE Any quantity divided by itself is equal to 1. It doesn’t matter if it is written differently! ?

  6. Math Fact # 2EXAMPLE Any quantity divided by itself is equal to 1. It doesn’t matter if it is written differently! ?

  7. = 1 Math Fact # 2Example Any quantity divided by itself equals 1. Any quantity multiplied by 1 does not change.

  8. The Problem Example: You measure 1,435 mg but you need to know in μg. Sometimes you need a different metric prefix than you have.

  9. The Solution:Use Math Facts 1 & 2 to Change Units Turn your metric prefix into a power of ten.

  10. The Solution:Use Math Facts 1 & 2 to Change Units Turn your metric prefix into a power of ten.

  11. The Solution:Use Math Facts 1 & 2 to Change Units Multiply by a fraction equal to 1. (1) Math Fact # 1: Any quantity multiplied by 1 does not change.

  12. STOP Complete Metric Conversion Factors Worksheet

  13. The Solution:Use Math Facts 1 & 2 to Change Units Multiply by a fraction equal to 1. 1 μg = 1·10-6 g Math Fact # 2: Any quantity divided by itself is equal to 1.

  14. The Solution:Use Math Facts 1 & 2 to Change Units Multiply by a fraction equal to 1 Pick the fraction so: old units cancel out & new units are left

  15. The Solution:Use Math Facts 1 & 2 to Change Units Cancel Out old units cancel out & new units are left

  16. The Solution:Use Math Facts 1 & 2 to Change Units Let your calculator do the rest

  17. The Solution:Use Math Facts 1 & 2 to Change Units Rewrite

  18. Notes

  19. Example:How many ms are in 560 ps? Write what you are given.

  20. Example:How many ms are in 560 ps? Turn the SI prefix into a power of ten.

  21. Example:How many ms are in 560 ps? Multiply by a fraction equal to 1

  22. Example:How many ms are in 560 ps? Note: I put s (the old unit) on the bottom so it will cancel out Multiply by a fraction equal to 1

  23. Example:How many ms are in 560 ps? Note: I put ms (the new unit) on the top so it will be left over Multiply by a fraction equal to 1

  24. Example:How many ms are in 560 ps? Note: Use SI prefixes to pick numbers. The top of the fraction has to equal the bottom of the fraction. 1 ms = 1·10-3 s Multiply by a fraction equal to 1

  25. Example:How many ms are in 560 ps? Cancel

  26. Example:How many ms are in 560 ps? Note: your calculator can do all the hard work Write the answer

More Related