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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 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 The metric system combines various base units with different prefixes. The most commonly used base units are meters, liters and grams.
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 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 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 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 is typically abbreviated as “dk” ex) dekameter = dkm Deciis typically abbreviated as simply “d” ex) decimeter = dm
reading Metric units Identify each of the following: g grams
reading Metric units Identify each of the following: mg miligrams
reading Metric units Identify each of the following: hL hectoliters
reading Metric units Identify each of the following: m meters
reading Metric units Identify each of the following: dg decigrams
reading Metric units Identify each of the following: dkL dekaliters
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 Kilo HectoDekaBase DeciCentiMili 4.38 cm = __________ mm
Practice problem #2 Kilo HectoDekaBase DeciCentiMili 6.35 cm = __________ m
Practice problem #3 Kilo HectoDekaBase DeciCentiMili 4.38 kg = __________ g
Practice problem #4 Kilo HectoDekaBase DeciCentiMili 105 dL = __________ hL
Practice problem #5 Kilo HectoDekaBase DeciCentiMili 4 dkg = __________ mg
Scientific notation Scientific notation is used to write really large or really small numbers. ex) 0.0000000000000089 8.9x10-15
Scientific notation Numbers written with scientific notation have a number written times 10 to a certain power. ex) 0.0000000000000089 8.9x10-15
Scientific notation A positive exponent represents a large number. A negative exponent represents a small number.
Scientific notation The exponent tells you how many spaces to move the decimal to either the left or the right.
Scientific notation #1 Write the following number without using scientific notation: 1.56x10-4 0.000156
Scientific notation #2 Write the following number without using scientific notation: 8.4x105 840,000
Scientific notation #3 Write the following number using scientific notation: 65,000 6.5x104
Scientific notation #4 Write the following number using scientific notation: 0.0032 3.2x10-3
Scientific notation #5 Write the following number using scientific notation: 0.00000004 4x10-8