Metric prefixes
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Metric Prefixes. Look along on your Conversion Factor sheet. Metric System Review. Metric Prefix. Metric Prefix – symbol that goes in front of a base unit that indicates a portion of that unit Example: kilo + meter = kilometer = 1,000 meters 1 km = 1,000 m

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Metric Prefixes

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Metric prefixes

Metric Prefixes

Look along on your

Conversion Factor sheet


Metric system review

Metric System Review


Metric prefix

Metric Prefix

  • Metric Prefix – symbol that goes in front of a base unit that indicates a portion of that unit

  • Example:

    kilo + meter = kilometer = 1,000 meters

    1 km = 1,000 m

  • Common Base Units: meters (m), grams (g), Liters (L), seconds (s)


Metric prefixes

1 Megameter =

From here to Oklahoma

1 Megameter = 1Mm

Mega = M

1 Mm = 1,000,000 m = 106m


Metric prefixes

2.5 laps =

1 kilometer

1 kilometer = 1km

kilo = k

1 km = 1,000 m = 103m


Metric prefixes

The width of your thumb = 1 cm

1 centimeter = 1cm

centi = c

1 m = 100cm = 102cm


Metric prefixes

The width of a quarter = 1 mm

1 millimeter = 1 mm

milli = m

1 m = 1000 mm = 103mm


Metric prefixes

The width of a hair = 1 μm

1 micrometer = 1 μm

micro = μ

1 m = 1,000,000 μm = 106μm


Example 1

Example 1)

  • How many centimeters (cm) are in 1 meter (m)?

    • Prefix: centi-

    • Base unit: meters

1m = 100cm

m m


Example 2

Example 2)

  • How many milligrams (mg) are in 1 gram (g)?

    • Prefix: milli-

    • Base unit: gram

1g = 1000mg

g g


Quick check 1

Quick Check 1

  • What is the relationship between Liters (L) and kiloLiters (kL)?

    • Prefix: kilo-

    • Base unit: Liter

L L

1000L = 1kL


Quick check 2

Quick Check 2

  • How many nanosecond (ns) are in 1 second (s)?

    • Prefix: nano-

    • Base unit: second

1s = 109 ns

s s


Conversion factors

Conversion Factors


Why do we need conversions

Why do we need conversions?

  • Line is 2.75 inches long

  • We need to know the length in cm


Part 1 writing conversion factors as ratios

Part 1: Writing Conversion Factors as Ratios

Example

  • For each conversion factor, there are

    ratios possible.

  • 1 in = 2.54 cm

2


Part 1 writing conversions as ratios

Part 1: Writing Conversions as Ratios

  • Let’s Practice:1,000 mg = 1 g

  • What are my possible ratios?


Part 2 writing ratios from a problem

Part 2: Writing Ratios from a Problem

Step

Example

  • Find your known (this is the unit you want to convert) and your unknown.

  • 2.75 in = ________ cm

Known: in

Unknown: cm


Part 2 writing ratios from a problem1

Part 2: Writing Ratios from a Problem

Step

Example

  • Find the conversion factor that includes both known and unknown units.

  • 2.75 in = ________ cm

Known: in

Unknown: cm

Relationship: 2.54cm = 1in


Part 2 writing ratios from a problem2

Part 2: Writing Ratios from a Problem

Step

Example

  • Write this conversion factor as a ratio.

  • 2.75 in = ________ cm

Relationship: 2.54cm = 1in


Part 2 writing ratios from a problem3

Part 2: Writing Ratios from a Problem

  • Let’s Practice:Step 1

  • 6,280 m = _____________ km

    Known: m

    Unknown: km


Part 2 writing ratios from a problem4

Part 2: Writing Ratios from a Problem

  • Let’s Practice:Step 2

  • 6,280 m = _____________ km

    1,000 m = 1 km


Part 2 writing ratios from a problem5

Part 2: Writing Ratios from a Problem

  • Let’s Practice:Step 3

  • 6,280 m = _____________ km

    1,000 m = 1 km


Conversion problems

Conversion Problems


Solving conversion problems

Solving Conversion Problems

Step

Example 1

1) Set up the equation. The known goes in the upper left corner.

  • 2.75 in = ________ cm

2.75 in


Solving conversion problems1

Solving Conversion Problems

Step

Example 1

2) On the right side, put the conversion factor that will cancel.

  • 2.75 in = ________ cm

2.75 in


Solving conversion problems2

Solving Conversion Problems

Step

Example 1

3) Multiply across the top, then divide.

  • 2.75 in = ________ cm

2.75 in

= 6.985 cm


Solving conversion problems3

Solving Conversion Problems

  • Example 2)

  • 6,280 m = _____________ km

6,280 m


Solving conversion problems4

Solving Conversion Problems

  • Example 2)

  • 6,280 m = _____________ km

6,280 m


Solving conversion problems5

Solving Conversion Problems

  • Example 2)

  • 6,280 m = _____________ km

6,280 m

= 6.28 km


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