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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.

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Changing Units

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  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

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