Do the following metric system conversions by changing only...

Do the following metric system conversions by changing only the power of 10 . For example, convert 2.5 L to mL : $2.5 \mathrm{~L}=2.5 \times 10^3 \mathrm{~mL}$ a. Convert 4.5 km to mm b. Convert $6.0 \times 10^6 \mathrm{mg}$ to g c. Convert $9.86 \times 10^{15} \mathrm{~m}$ to km d. Convert $1.91 \times 10^{-4} \mathrm{~kg}$ to mg e. Convert 5.0 ng to mg

Do the following metric system conversions by changing only the power of 10 . For example, convert 2.5 L to mL : $2.5 \mathrm{~L}=2.5 \times 10^3 \mathrm{~mL}$
a. Convert 4.5 km to mm
b. Convert $6.0 \times 10^6 \mathrm{mg}$ to g
c. Convert $9.86 \times 10^{15} \mathrm{~m}$ to km
d. Convert $1.91 \times 10^{-4} \mathrm{~kg}$ to mg
e. Convert 5.0 ng to mg

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Key Concepts

Metric System

The metric system is an internationally adopted system of measurement that is based on multiples of 10, making conversions simpler and more intuitive. It includes a set of standard units such as meters for length, grams for mass, and liters for volume, along with prefixes like kilo-, milli-, and nano- that denote various powers of ten.

Scientific Notation

Scientific notation is a method of expressing very large or very small numbers in a concise form by using powers of 10. It simplifies calculations and conversions, especially within the metric system, by clearly indicating the magnitude of the numbers involved.

Unit Conversions

Unit conversions are the processes of converting measurements from one unit to another using conversion factors. In the metric system, this is often done by shifting the decimal point according to the power of ten associated with different metric prefixes, without changing the numerical value's magnitude in a physical sense.

Conversion Factors

Conversion factors are numerical multipliers used to translate measurements between different units. In the context of the metric system, these factors are often powers of 10, which simplify arithmetic operations and help maintain consistency and accuracy when converting between units with different prefixes.

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