Study Notes for Class #4: Multiple and Submultiple Units

CLASS #4: MULTIPLE AND SUBMULTIPLE UNITS

1. Definition of Multiple and Submultiple Units

  • Multiple units are larger units of measurement that are multiples of the standard unit.

  • Submultiple units are smaller units that are fractions of the standard unit.

2. List of Multiple Units

NAME

SYMBOL

NUMBER

Giga

G

1,000,000,000

Mega

M

1,000,000

Kilo

k

1,000

3. List of Submultiple Units

NAME

SYMBOL

NUMBER

Centi

c

1/100

Milli

m

1/1,000

Micro

μ

1/1,000,000

Nano

n

1/1,000,000,000

3.1 Example of Submultiple Unit Conversion

  • For instance, one microsecond can be expressed as:

    • 1extmicrosecond=1extextμs=1imes10−6extseconds1 ext{ microsecond} = 1 ext{ } ext{μs} = 1 imes 10^{-6} ext{ seconds}

4. Conversion Between Units

  • When performing calculations, it is often necessary to convert quantities between different units.

    • This process ensures that the units are consistent and appropriate for the mathematical operations being performed.

4.1 Example Conversions

  • Example 1: Convert 35 kilometers (km) to meters (m)

    • Conversion calculation:

    • 35extkm=35imes1000=35,000extm35 ext{ km} = 35 imes 1000 = 35,000 ext{ m}

  • Example 2: Convert 125 milliseconds (ms) to seconds (s)

    • Conversion calculation:

    • 125extms=125imes10−3=0.125exts125 ext{ ms} = 125 imes 10^{-3} = 0.125 ext{ s}