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IPC Notes

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IPC Notes

Metric Conversions &

Scientific Notation

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.

The metric system combines various base units with different prefixes.

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

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)

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

King Henry Died ByDrinking Chocolate Milk

Kilo HectoDekaBase DeciCentiMili

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

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 is typically abbreviated as “dk”

ex) dekameter = dkm

Deciis typically abbreviated as simply “d”

ex) decimeter = dm

Identify each of the following:

g

grams

Identify each of the following:

mg

miligrams

Identify each of the following:

hL

hectoliters

Identify each of the following:

m

meters

Identify each of the following:

dg

decigrams

Identify each of the following:

dkL

dekaliters

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.

Kilo HectoDekaBase DeciCentiMili

4.38 cm = __________ mm

Kilo HectoDekaBase DeciCentiMili

6.35 cm = __________ m

Kilo HectoDekaBase DeciCentiMili

4.38 kg = __________ g

Kilo HectoDekaBase DeciCentiMili

105 dL = __________ hL

Kilo HectoDekaBase DeciCentiMili

4 dkg = __________ mg

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

ex) 0.0000000000000089

8.9x10-15

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

ex) 0.0000000000000089

8.9x10-15

A positive exponent represents a large number.

A negative exponent represents a small number.

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

Write the following number without using scientific notation:

1.56x10-4

0.000156

Write the following number without using scientific notation:

8.4x105

840,000

Write the following number using scientific notation:

65,000

6.5x104

Write the following number using scientific notation:

0.0032

3.2x10-3

Write the following number using scientific notation:

0.00000004

4x10-8