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# Metric Prefixes PowerPoint PPT Presentation

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

Metric Prefixes

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## Metric Prefixes

Look along on your

Conversion Factor sheet

### 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)

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

### Example 1)

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

• Prefix: centi-

• Base unit: meters

1m = 100cm

m m

### Example 2)

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

• Prefix: milli-

• Base unit: gram

1g = 1000mg

g g

### 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

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

• Prefix: nano-

• Base unit: second

1s = 109 ns

s s

## Conversion Factors

### 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

Example

• For each conversion factor, there are

ratios possible.

• 1 in = 2.54 cm

2

### 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

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 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 Problem

Step

Example

• Write this conversion factor as a ratio.

• 2.75 in = ________ cm

Relationship: 2.54cm = 1in

### 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 Problem

• Let’s Practice:Step 2

• 6,280 m = _____________ km

1,000 m = 1 km

### Part 2: Writing Ratios from a Problem

• Let’s Practice:Step 3

• 6,280 m = _____________ km

1,000 m = 1 km

## 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 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 Problems

Step

Example 1

3) Multiply across the top, then divide.

• 2.75 in = ________ cm

2.75 in

= 6.985 cm

### Solving Conversion Problems

• Example 2)

• 6,280 m = _____________ km

6,280 m

### Solving Conversion Problems

• Example 2)

• 6,280 m = _____________ km

6,280 m

### Solving Conversion Problems

• Example 2)

• 6,280 m = _____________ km

6,280 m

= 6.28 km