Mastering Unit Conversion: From mg to μg Using Simple Math Facts
This guide simplifies how to convert between different metric units, such as from milligrams (mg) to micrograms (μg). It illustrates essential math facts: any quantity multiplied by 1 remains unchanged, and any quantity divided by itself equals 1. By using these principles, you can convert units effortlessly. The methods include turning metric prefixes into powers of ten and multiplying by fractions equal to 1, ensuring units cancel appropriately. Whether it's measuring substances or understanding SI prefixes, this guide equips you with the knowledge to perform conversions effectively.
Mastering Unit Conversion: From mg to μg Using Simple Math Facts
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Presentation Transcript
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.
( )(1) = Math Fact # 1 Any quantity multiplied or divided by 1 does not change.
Math Fact # 2 Any quantity divided by itself is equal to 1.
Math Fact # 2EXAMPLE Any quantity divided by itself is equal to 1. It doesn’t matter if it is written differently! ?
Math Fact # 2EXAMPLE Any quantity divided by itself is equal to 1. It doesn’t matter if it is written differently! ?
= 1 Math Fact # 2Example Any quantity divided by itself equals 1. Any quantity multiplied by 1 does not change.
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.
The Solution:Use Math Facts 1 & 2 to Change Units Turn your metric prefix into a power of ten.
The Solution:Use Math Facts 1 & 2 to Change Units Turn your metric prefix into a power of ten.
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.
STOP Complete Metric Conversion Factors Worksheet
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.
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
The Solution:Use Math Facts 1 & 2 to Change Units Cancel Out old units cancel out & new units are left
The Solution:Use Math Facts 1 & 2 to Change Units Let your calculator do the rest
Example:How many ms are in 560 ps? Write what you are given.
Example:How many ms are in 560 ps? Turn the SI prefix into a power of ten.
Example:How many ms are in 560 ps? Multiply by a fraction equal to 1
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
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
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
Example:How many ms are in 560 ps? Note: your calculator can do all the hard work Write the answer
