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Metric Prefixes

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Metric Prefixes

Look along on your

Conversion Factor sheet

- 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)

1 Megameter =

From here to Oklahoma

1 Megameter = 1Mm

Mega = M

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

2.5 laps =

1 kilometer

1 kilometer = 1km

kilo = k

1 km = 1,000 m = 103m

The width of your thumb = 1 cm

1 centimeter = 1cm

centi = c

1 m = 100cm = 102cm

The width of a quarter = 1 mm

1 millimeter = 1 mm

milli = m

1 m = 1000 mm = 103mm

The width of a hair = 1 μm

1 micrometer = 1 μm

micro = μ

1 m = 1,000,000 μm = 106μm

- How many centimeters (cm) are in 1 meter (m)?
- Prefix: centi-
- Base unit: meters

1m = 100cm

m m

- How many milligrams (mg) are in 1 gram (g)?
- Prefix: milli-
- Base unit: gram

1g = 1000mg

g g

- What is the relationship between Liters (L) and kiloLiters (kL)?
- Prefix: kilo-
- Base unit: Liter

L L

1000L = 1kL

- How many nanosecond (ns) are in 1 second (s)?
- Prefix: nano-
- Base unit: second

1s = 109 ns

s s

Conversion Factors

- Line is 2.75 inches long
- We need to know the length in cm

Example

- For each conversion factor, there are
ratios possible.

- 1 in = 2.54 cm

2

- Let’s Practice:1,000 mg = 1 g
- What are my possible ratios?

Step

Example

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

- 2.75 in = ________ cm

Known: in

Unknown: cm

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

Step

Example

- Write this conversion factor as a ratio.

- 2.75 in = ________ cm

Relationship: 2.54cm = 1in

- Let’s Practice:Step 1
- 6,280 m = _____________ km
Known: m

Unknown: km

- Let’s Practice:Step 2
- 6,280 m = _____________ km
1,000 m = 1 km

- Let’s Practice:Step 3
- 6,280 m = _____________ km
1,000 m = 1 km

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

Step

Example 1

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

- 2.75 in = ________ cm

2.75 in

Step

Example 1

3) Multiply across the top, then divide.

- 2.75 in = ________ cm

2.75 in

= 6.985 cm

- Example 2)
- 6,280 m = _____________ km

6,280 m

- Example 2)
- 6,280 m = _____________ km

6,280 m

- Example 2)
- 6,280 m = _____________ km

6,280 m

= 6.28 km