Metric System

The Metric System International System of Units (SI)

The Metric System The metric system was developed in France in the 1790’s to bring order out of the conflicting systems being used in Europe

“ world standard” Just as English is the worldwide language of business, the metric system is the world's common language of measurement. Why Use The Metric System:

Take this test, Add the following: 1 yd, 2 ft, 3-¼ in Why Use The Metric System:

Take this test, Add the following: 1 yd, 2 ft, 3-¼ in + 1 foot, 11-3/16 in Why Use The Metric System:

Take this test, Add the following: 1 yd, 2 ft, 3-¼ in + 1 foot, 11-3/16 in + 2 ft, 5-1/2 in Why Use The Metric System:

Take this test, Add the following: 1 yd, 2 ft, 3-¼ in + 1 foot, 11-3/16 in + 2 ft, 5-1/2 in + 3 yds, 1 foot, 6-5/8 in Why Use The Metric System:

Take this test, Now add these: 1.607 meters Why Use The Metric System:

Take this test, Now add these: 1.607 meters + 0.589 meters Why Use The Metric System:

Take this test, Now add these: 1.607 meters + 0.589 meters + 0.749 meters Why Use The Metric System:

Take this test, Now add these: 1.607 meters + 0.589 meters + 0.749 meters + 3.216 meters Why Use The Metric System:

Take this test, The sums are actually EQUAL to one another (same length)! Why Use The Metric System:

Take this test, The answers: 6 yards, 2 feet, 2-9/16 in 6.161 meters Why Use The Metric System:

Take this test, Which one was easier? Why Use The Metric System:

2) NO CONVERSIONS ! Why Use The Metric System:

2) NO CONVERSIONS ! SI has only ONE unit for each quantity. This means that it is never necessary to convert from one unit to another & there are no conversion factors to memorize! Ex. Yards to inches Why Use The Metric System:

3) NO FRACTIONS! Why Use The Metric System:

3) NO FRACTIONS! SI uses decimals exclusively, eliminating clumsy fractions and mixed numbers Why Use The Metric System:

Since SI uses decimals, it is based on powers of 10

TYPES OF METRIC MEASUREMENTS Dimensional Measurement: Length, width, & height~

TYPES OF METRIC MEASUREMENTS Dimensional Measurement: Length, width, & height~ The distance from one point to another

Dimensional Measurement: Length, width, & height~ Basic metric unit: Meter

Dimensional Measurement: Length, width, & height~ Basic metric unit: Meter Instrument: metric ruler/meter stick

METRIC MEASUREMENTS Mass: The amount of matter (stuff) in an object

Mass: Basic metric unit: Gram

Mass: Basic metric unit: Gram Instrument: triple beam balance

METRIC MEASUREMENTS Volume: The amount of space an object occupies

Volume: Basic metric unit: Liter

Volume: Basic metric unit: Liter Instrument: graduated cylinder

Basic Units & Symbols Meter m ex. 13 m

Basic Units & Symbols Meter m ex. 13 m Gram g ex. 156 g

Basic Units & Symbols Meter m ex. 13 m Gram g ex. 156 g Liter l or L ex. 2 L

How are “variations” of the base units determined?

These are called “derived units.”

Derived units are arrived by multiplying or dividing the base units by various powers of ten.

This is simplified to simply adding a prefix to the base unit, thus changing its value.

Common Prefixes ~increase the value of the Base Unit

Mega = 1,000,000 base units Common Prefixes ~increase the value of the Base Unit

Mega = 1,000,000 base units Kilo = 1,000 base units Common Prefixes ~increase the value of the Base Unit

Mega = 1,000,000 base units Kilo = 1,000 base units Hecto = 100 base units Common Prefixes ~increase the value of the Base Unit

Mega = 1,000,000 base units Kilo = 1,000 base units Hecto = 100 base units Deca = 10 base units Common Prefixes ~increase the value of the Base Unit

Common Prefixes ~decreases the value of the Base Unit

deci = .1 or 1/10 base unit Common Prefixes ~decreases the value of the Base Unit

deci = .1 or 1/10 base unit centi = .01 or 1/100 base unit Common Prefixes ~decreases the value of the Base Unit

deci = .1 or 1/10 base unit centi = .01 or 1/100 base unit milli = .001 or 1/1000 base unit Common Prefixes ~decreases the value of the Base Unit

deci = .1 or 1/10 base unit centi = .01 or 1/100 base unit milli = .001 or 1/1000 base unit micro = .000001 or 1/1,000,000 base unit Common Prefixes ~decreases the value of the Base Unit

Common Prefixes & their Symbols mega M deci d kilo k centi c hecto h milli m deca da micro μ

Base Unit Metric Ladder Base Unit is the Starting point for ALL SI measures

M - mega Base Unit Metric Ladder

M k - kilo Base Unit Metric Ladder

M k h - hecto Base Unit Metric Ladder

M k h da - deca Base Unit Metric Ladder

M k h da - deca Base Unit Metric Ladder These INCREASE the size/amt of the Base Unit

M k h da Base Unit d - deci Metric Ladder

M k h da Base Unit d c - centi Metric Ladder

M k h da Base Unit d c m - milli Metric Ladder

M k h da Base Unit d c m μ – micro Metric Ladder

M k h da Base Unit d c m μ Metric Ladder These DECREASE the size/amt of the Base Unit

M k h da Base Unit d c m μ Metric Ladder To convert to a larger unit, move decimal point to the left one place for each step

M k h da Base Unit d c m μ Metric Ladder Convert: 123.45 cm = _____ dam

M k h da Base Unit d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 1: FIND WHERE TO BEGIN

M k h da Base Unit d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 1: FIND WHERE TO BEGIN 123.45 c m

M k h da Base Unit d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 2: FIND WHERE TO END = _____ da m

M k h da BU d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 3: Count # of steps from start to end

M k h da BU d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 3: Count # of steps from start to end 1

M k h da BU d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 3: Count # of steps from start to end 1 2

M k h da BU d c m μ Metric Ladder Convert: 123.45 cm = _____ dam STEP 3: Count # of steps from start to end 1 2 3

Metric Ladder STEP 4: Now, move the decimal ONE place FOR EACH STEP on the ladder you took to get from the starting unit to the ending unit.

Metric Ladder Step 4 continued… Move in the same direction you moved on the ladder.

M k h da BU d c m μ Metric Ladder Convert: 123.45 cm = _____ dam To move from c to da you must move to the decimal LEFT … 3 places! 1 2 3

Metric Ladder 1 2 3 . 4 5 c m

Metric Ladder 1 2 3 . 4 5 c m 1

Metric Ladder 1 2 3 . 4 5 c m 1 2

Metric Ladder 1 2 3 . 4 5 c m 1 2 3

Metric Ladder 1 2 3 . 4 5 c m 1 2 3 .1 2 3 4 5 da m

Metric Ladder What if there is NO decimal in my number??? Example: 375

Metric Ladder Example: 375 Solution: The decimal is put at the END of the number… 375.0

M k h da Base Unit d c m μ Metric Ladder To convert to a smaller unit, move decimal point to the right one place for each step.

M k h da Base Unit d c m μ Metric Ladder Convert: 14 Mg = ______ hg

M k h da Base Unit d c m μ Metric Ladder Now, follow the steps just like before! STEP 1: FIND WHERE TO BEGIN Convert: 14 Mg = ______ hg

M k h da Base Unit d c m μ Metric Ladder STEP 1: FIND WHERE TO BEGIN 14 M g Convert: 14 Mg = ______ hg

M k h da Base Unit d c m μ Metric Ladder STEP 2: FIND WHERE TO END = ______ h g Convert: 14 Mg = ______ hg

M k h da Base Unit d c m μ Metric Ladder Convert: 14 Mg = ______ hg STEP 3: Count # of steps from start to end

M k h da Base Unit d c m μ Metric Ladder Convert: 14 Mg = ______ hg STEP 3: Count # of steps from start to end 1

M k h da Base Unit d c m μ Metric Ladder Convert: 14 Mg = ______ hg STEP 3: Count # of steps from start to end 1 2

M k h da Base Unit d c m μ Metric Ladder Convert: 14 Mg = ______ hg 1 2 To move from M to h you must move to the decimal RIGHT … 2 places!

Metric Ladder 1 4. 0 0 0 M g

Metric Ladder 1 4. 0 0 0 M g 1

Metric Ladder 1 4. 0 0 0 M g 1 2

Metric Ladder 1 4. 0 0 0 M g 1 2 1 4 0 0.0 h g

Now let’s try some conversions!

Metric System

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Metric System