| Unit | Equivalent in Meters | Conversion Factor |
|---|---|---|
| Kilometer (km) | 1000 m | × 1000 |
| Hectometer (hm) | 100 m | × 100 |
| Decameter (dam) | 10 m | × 10 |
| Meter (m) | 1 m | Base unit |
| Decimeter (dm) | 0.1 m | ÷ 10 |
| Centimeter (cm) | 0.01 m | ÷ 100 |
| Millimeter (mm) | 0.001 m | ÷ 1000 |
a) How many centimeters are in 3 meters?
b) How many meters are in 500 centimeters?
c) How many millimeters are in 2 meters?
Length: Distance between two points, measured in meters (m), centimeters (cm), or kilometers (km) in the metric system.
- Identify the starting unit and target unit
- Find the conversion factor in the chart
- Determine if you need to multiply or divide
- Perform the calculation
- Include the correct unit in your answer
3 meters × 100 = 300 centimeters
500 centimeters ÷ 100 = 5 meters
2 meters × 1000 = 2000 millimeters
a) There are 300 centimeters in 3 meters.
b) There are 5 meters in 500 centimeters.
c) There are 2000 millimeters in 2 meters.
• Conversion factor: 1 meter = 100 centimeters
• Conversion factor: 1 meter = 1000 millimeters
• Multiplication: To convert larger to smaller units
• Division: To convert smaller to larger units
Measuring Length in Metric System:
- Remember: 1 meter = 100 centimeters = 1000 millimeters
- When converting from larger to smaller units, multiply
- When converting from smaller to larger units, divide
- Use the chart to find the correct conversion factor
- Always include the correct unit in your answer
| Unit | Equivalent in Liters | Conversion Factor |
|---|---|---|
| Kiloliter (kL) | 1000 L | × 1000 |
| Hectoliter (hL) | 100 L | × 100 |
| Decaliter (daL) | 10 L | × 10 |
| Liter (L) | 1 L | Base unit |
| Deciliter (dL) | 0.1 L | ÷ 10 |
| Centiliter (cL) | 0.01 L | ÷ 100 |
| Milliliter (mL) | 0.001 L | ÷ 1000 |
a) How many milliliters are in 4 liters?
b) How many liters are in 3000 milliliters?
c) How many milliliters are in 2.5 liters?
Liquid volume: The amount of space a liquid takes up, usually measured in liters (L) or milliliters (mL).
4 liters × 1000 = 4000 milliliters
3000 milliliters ÷ 1000 = 3 liters
2.5 liters × 1000 = 2500 milliliters
a) There are 4000 milliliters in 4 liters.
b) There are 3 liters in 3000 milliliters.
c) There are 2500 milliliters in 2.5 liters.
• Conversion factor: 1 liter = 1000 milliliters
• Multiplication: To convert liters to milliliters
• Division: To convert milliliters to liters
Measuring Liquid Volume in Metric System:
- Remember: 1 liter = 1000 milliliters
- Milliliters are used for small amounts of liquid
- Liters are used for larger amounts of liquid
- When converting from larger to smaller units, multiply
- When converting from smaller to larger units, divide
| Unit | Equivalent in Grams | Conversion Factor |
|---|---|---|
| Kilogram (kg) | 1000 g | × 1000 |
| Hectogram (hg) | 100 g | × 100 |
| Decagram (dag) | 10 g | × 10 |
| Gram (g) | 1 g | Base unit |
| Decigram (dg) | 0.1 g | ÷ 10 |
| Centigram (cg) | 0.01 g | ÷ 100 |
| Milligram (mg) | 0.001 g | ÷ 1000 |
a) How many grams are in 5 kilograms?
b) How many kilograms are in 4000 grams?
c) How many milligrams are in 3 grams?
Weight: How heavy something is, measured in grams (g) or kilograms (kg) in the metric system.
5 kilograms × 1000 = 5000 grams
4000 grams ÷ 1000 = 4 kilograms
3 grams × 1000 = 3000 milligrams
a) There are 5000 grams in 5 kilograms.
b) There are 4 kilograms in 4000 grams.
c) There are 3000 milligrams in 3 grams.
• Conversion factor: 1 kilogram = 1000 grams
• Conversion factor: 1 gram = 1000 milligrams
• Multiplication: To convert larger to smaller units
• Division: To convert smaller to larger units
Measuring Weight in Metric System:
- Remember: 1 kilogram = 1000 grams
- Grams are used for light objects
- Kilograms are used for heavy objects
- When converting from larger to smaller units, multiply
- When converting from smaller to larger units, divide
Metric System: A decimal-based system of measurement used worldwide, based on units of ten.
Length: Distance between two points, measured in meters (m), centimeters (cm), or kilometers (km).
Liquid Volume: The amount of space a liquid takes up, measured in liters (L) or milliliters (mL).
Weight: How heavy something is, measured in grams (g) or kilograms (kg).
Time: Duration or interval, measured in seconds, minutes, hours, etc.
Conversion: Changing from one unit of measurement to another.
Base Unit: The fundamental unit of measurement in the metric system (meter, liter, gram).
Prefix: Words added to base units to show different sizes (kilo, centi, milli).
Conversion Factors: 1 meter = 100 centimeters = 1000 millimeters
Conversion Factors: 1 kilometer = 1000 meters
Conversion Factors: 1 liter = 1000 milliliters
Conversion Factors: 1 kilogram = 1000 grams
Conversion Factors: 1 hour = 60 minutes = 3600 seconds
Multiplication Rule: When converting from larger units to smaller units, multiply.
Division Rule: When converting from smaller units to larger units, divide.
- Identify: Determine the original unit and target unit
- Recall: Remember the conversion factor between the units
- Decide: Determine if you need to multiply or divide
- Calculate: Perform the conversion calculation
- Verify: Check that your answer makes sense
- 1 meter = 100 centimeters
- 1 liter = 1000 milliliters
- 1 kilogram = 1000 grams
- Convert 2.5 km to meters
- Convert 750 mL to liters
- Convert 3.2 kg to grams
- Remember: Kilo = 1000, Centi = 1/100, Milli = 1/1000
- Multiply when going smaller → larger
- Divide when going larger → smaller
- Mixing up multiplication and division
- Forgetting conversion factors
- Not including units in answers
• Always remember: The metric system is based on tens
• Multiply: When converting from larger units to smaller units
• Divide: When converting from smaller units to larger units
• Check: That your answer makes sense (larger unit → smaller number)
• Practice: Regularly to memorize conversion factors
| Measurement Type | Large Unit | Small Unit | Conversion Factor |
|---|---|---|---|
| Length | Kilometer (km) | Meter (m) | 1 km = 1000 m |
| Length | Meter (m) | Centimeter (cm) | 1 m = 100 cm |
| Liquid Volume | Liter (L) | Milliliter (mL) | 1 L = 1000 mL |
| Weight | Kilogram (kg) | Gram (g) | 1 kg = 1000 g |
| Time | Hour (hr) | Minute (min) | 1 hr = 60 min |
| Time | Minute (min) | Second (sec) | 1 min = 60 sec |
| Unit | Equivalent in Seconds | Conversion Factor |
|---|---|---|
| Hour (hr) | 3600 s | × 3600 |
| Minute (min) | 60 s | × 60 |
| Second (s) | 1 s | Base unit |
| Millisecond (ms) | 0.001 s | ÷ 1000 |
a) How many minutes are in 3 hours?
b) How many hours are in 240 minutes?
c) How many seconds are in 5 minutes?
Time measurement: Duration or interval, measured in seconds, minutes, hours, days, etc.
3 hours × 60 = 180 minutes
240 minutes ÷ 60 = 4 hours
5 minutes × 60 = 300 seconds
a) There are 180 minutes in 3 hours.
b) There are 4 hours in 240 minutes.
c) There are 300 seconds in 5 minutes.
• Conversion factor: 1 hour = 60 minutes
• Conversion factor: 1 minute = 60 seconds
• Multiplication: To convert larger to smaller units
• Division: To convert smaller to larger units
Measuring Time in Metric System:
- Remember: 1 hour = 60 minutes
- Remember: 1 minute = 60 seconds
- Time conversions follow the same principle: multiply or divide
- Always check that your answer makes sense
- Use multiplication when going from larger to smaller units
| Problem | To Convert | Answer |
|---|---|---|
| 2 liters + 500 mL | milliliters | 2500 mL |
| 3 meters + 50 cm | centimeters | 350 cm |
| 4 kilograms - 300 g | grams | 3700 g |
a) What is 2 liters + 500 milliliters in milliliters?
b) What is 3 meters + 50 centimeters in centimeters?
c) What is 4 kilograms - 300 grams in grams?
Mixed conversions: Problems that require converting between different units before performing arithmetic operations.
2 liters = 2000 mL, 2000 mL + 500 mL = 2500 mL
3 meters = 300 cm, 300 cm + 50 cm = 350 cm
4 kilograms = 4000 g, 4000 g - 300 g = 3700 g
All answers use the correct conversion factors.
a) 2 liters + 500 milliliters = 2500 milliliters.
b) 3 meters + 50 centimeters = 350 centimeters.
c) 4 kilograms - 300 grams = 3700 grams.
• Consistent units: Convert all measurements to the same unit before calculating
• Arithmetic operations: Perform addition/subtraction after conversion
• Conversion factors: Use correct factors for each unit
Mixed Conversions:
- Always convert to the same unit before adding or subtracting
- Convert to the unit required for the answer
- Check that your answer is reasonable
- Remember: 1 L = 1000 mL, 1 m = 100 cm, 1 kg = 1000 g
- Double-check your calculations to avoid errors
Instructions: Use the conversion chart to solve these problems.
Instructions: Convert the following liquid volume measurements.
Instructions: Convert the following weight measurements.
Instructions: Convert the following time measurements.
Instructions: Solve the following mixed conversion problems.
Memory Aid: "King Henry Died By Drinking Chocolate Milk" - Kilo, Hecto, Deka, Base, Deci, Centi, Milli.
Visual Cue: Think of the metric ladder where each step is 10 times the previous.
Story Method: Create stories about the relative sizes of units to remember conversion factors.
Evaluation Criteria:
- Conversion accuracy: Correct application of conversion factors (30%)
- Calculation precision: Accurate mathematical operations (25%)
- Unit notation: Proper use of units in answers (25%)
- Problem solving: Logical approach to mixed conversions (20%)