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IPC Notes. Metric Conversions & Scientific Notation. The metric system. The metric system is based on powers of 10 to make converting easier. In order to convert from one metric unit to another, all you will need to do is move the decimal point. Base units.

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Ipc notes

IPC Notes

Metric Conversions &

Scientific Notation


The metric system
The metric system

The metric system is based on powers of 10 to make converting easier.

In order to convert from one metric unit to another, all you will need to do is move the decimal point.


Base units
Base units

The metric system combines various base units with different prefixes.

The most commonly used base units are meters, liters and grams.


Common metric prefixes
Common Metric prefixes

Kilo = 1,000 times the base unit

Hecto = 100 times the base unit

Deka = 10 times the base unit

Deci = 0.1 of the base unit (or 1/10th)

Centi = 0.01 of the base unit (or 1/100th)

Mili = 0.001 of the base unit (or 1/1,000th)


Common metric prefixes1
Common Metric prefixes

Memorize the following phrase to remember the common metric prefixes in order:

King Henry Died ByDrinking Chocolate Milk

Kilo HectoDekaBase DeciCentiMili


Other metric prefixes
other Metric prefixes

Tera = 1 trillion times the base unit

Giga = 1 billion times the base unit

Mega = 1million times the base unit

Micro = 1/millionth of the base unit

Nano = 1/billionth of the base unit

Pico = 1/trillionth of the base unit


Reading metric units
reading Metric units

If a unit only has 1 letter, it is a base unit (usually meters, liters or grams).

If a unit has more than 1 letter, it is a combination of a prefix with a base unit.


Deka vs deci
Deka vs. deci

Deka is typically abbreviated as “dk”

ex) dekameter = dkm

Deciis typically abbreviated as simply “d”

ex) decimeter = dm


Reading metric units1
reading Metric units

Identify each of the following:

g

grams


Reading metric units2
reading Metric units

Identify each of the following:

mg

miligrams


Reading metric units3
reading Metric units

Identify each of the following:

hL

hectoliters


Reading metric units4
reading Metric units

Identify each of the following:

m

meters


Reading metric units5
reading Metric units

Identify each of the following:

dg

decigrams


Reading metric units6
reading Metric units

Identify each of the following:

dkL

dekaliters


Using the metric scale
Using the metric scale

Write the common prefixes in order:

Kilo HectoDekaBase DeciCentiMili

Put your finger on the starting unit and count the number of places to the left or right to arrive at the new unit. Move the decimal the same number of places and in the same direction to get the answer.


Practice problem 1
Practice problem #1

Kilo HectoDekaBase DeciCentiMili

4.38 cm = __________ mm


Practice problem 2
Practice problem #2

Kilo HectoDekaBase DeciCentiMili

6.35 cm = __________ m


Practice problem 3
Practice problem #3

Kilo HectoDekaBase DeciCentiMili

4.38 kg = __________ g


Practice problem 4
Practice problem #4

Kilo HectoDekaBase DeciCentiMili

105 dL = __________ hL


Practice problem 5
Practice problem #5

Kilo HectoDekaBase DeciCentiMili

4 dkg = __________ mg


Scientific notation
Scientific notation

Scientific notation is used to write really large or really small numbers.

ex) 0.0000000000000089

8.9x10-15


Scientific notation1
Scientific notation

Numbers written with scientific notation have a number written times 10 to a certain power.

ex) 0.0000000000000089

8.9x10-15


Scientific notation2
Scientific notation

A positive exponent represents a large number.

A negative exponent represents a small number.


Scientific notation3
Scientific notation

The exponent tells you how many spaces to move the decimal to either the left or the right.


Scientific notation 1
Scientific notation #1

Write the following number without using scientific notation:

1.56x10-4

0.000156


Scientific notation 2
Scientific notation #2

Write the following number without using scientific notation:

8.4x105

840,000


Scientific notation 3
Scientific notation #3

Write the following number using scientific notation:

65,000

6.5x104


Scientific notation 4
Scientific notation #4

Write the following number using scientific notation:

0.0032

3.2x10-3


Scientific notation 5
Scientific notation #5

Write the following number using scientific notation:

0.00000004

4x10-8


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