Decimal Metric Connections
Match Length Measurements
Draw a line to match each measurement to its equivalent.
Convert Lengths
Convert each measurement. Remember: 1 km = 1,000 m, 1 m = 100 cm, 1 cm = 10 mm.
2.5 km = ___ m
0.75 m = ___ cm
3.4 cm = ___ mm
1,250 m = ___ km
More Length Conversions
Convert each measurement.
0.35 km = ___ m
4.8 m = ___ cm
65 mm = ___ cm
3,750 m = ___ km
Quick Length Check
Circle the correct conversion.
3.2 km = ?
0.45 m = ?
1.8 cm = ?
5,000 m = ?
Match Equivalent Lengths
Draw a line to match equivalent measurements.
Convert Mass
Convert each measurement. Remember: 1 kg = 1,000 g.
3.5 kg = ___ g
0.25 kg = ___ g
4,750 g = ___ kg
500 g = ___ kg
More Mass Conversions
Convert each measurement.
1.75 kg = ___ g
0.6 kg = ___ g
2,250 g = ___ kg
850 g = ___ kg
Quick Mass Check
Circle the correct conversion.
2.5 kg = ?
750 g = ?
0.1 kg = ?
3,200 g = ?
Convert Capacity
Convert each measurement. Remember: 1 L = 1,000 mL.
2.75 L = ___ mL
0.5 L = ___ mL
3,250 mL = ___ L
750 mL = ___ L
More Capacity Conversions
Convert each measurement.
1.2 L = ___ mL
0.35 L = ___ mL
4,500 mL = ___ L
125 mL = ___ L
Match Capacity Equivalents
Draw a line to match equivalent measurements.
Quick Capacity Check
Circle the correct conversion.
1.8 L = ?
450 mL = ?
0.75 L = ?
6,000 mL = ?
Which Is More?
Circle the larger measurement in each pair.
Which is more?
Which is more?
Which is more?
Which is more?
Compare More Measurements
Circle the larger measurement in each pair.
Which is more?
Which is more?
Which is more?
Which is more?
Sort by Measurement Type
Sort each unit into the correct category.
Metric Word Problems
Solve each problem. Show your working.
A water bottle holds 0.75 L. You drink 350 mL. How many millilitres are left?
A bag of flour weighs 2.5 kg. You use 800 g. How many grams are left?
You run 1.2 km in the morning and 850 m in the afternoon. How many metres did you run in total?
Mixed Conversion Challenge
Convert each measurement to the unit shown.
3 km 450 m = ___ m
2 kg 350 g = ___ g
5 L 750 mL = ___ mL
4,250 g = ___ kg ___ g
Explain the Connection
Answer each question about the decimal-metric connection.
Why does the metric system use decimals? Explain in your own words.
Explain why 0.5 km, 500 m and 50,000 cm are all the same length.
Home Activity: Measure at Home
Explore metric measurements around your home!
- 1Weigh 3 items in the kitchen. Write each mass in both grams and kilograms.
- 2Measure the length of your bedroom in metres. Convert it to centimetres.
- 3Check a drink bottle. How many millilitres does it hold? Convert to litres.
- 4Estimate the distance from your front door to the letterbox in metres, then convert to kilometres.
- 5Find five packaged foods and convert their masses between grams and kilograms.
Time Conversions
Convert each time measurement. Remember: 1 hour = 60 min, 1 min = 60 s.
2.5 hours = ___ minutes
150 minutes = ___ hours ___ minutes
3.25 minutes = ___ seconds
4,500 seconds = ___ minutes ___ seconds
Choose the Best Unit
Circle the most appropriate unit of measurement.
Distance from Sydney to Melbourne:
Mass of a textbook:
Amount of medicine in a spoon:
Mass of a car:
Match Measurement to Object
Draw a line to match each measurement to the most likely object.
Area and Volume — Metric Connections
Convert these area and volume measurements.
1 m² = ___ cm²
1 km² = ___ m²
1 m³ = ___ cm³ = ___ L
500 cm² = ___ m²
Sort: Larger or Smaller?
For each pair, circle the larger measurement.
Perimeter and Metric Conversions
Calculate each perimeter in the requested unit.
Rectangle: 3.5 m × 1.25 m. Perimeter in cm = ___
Square with side 850 mm. Perimeter in cm = ___. In m = ___
Triangle with sides 1.2 m, 0.85 m, 1.05 m. Perimeter in cm = ___
Metric Estimation
Estimate each measurement, then explain your reasoning.
Estimated mass of your school bag: ___ kg. Reasoning: ___
Estimated height of your classroom door: ___ m. Reasoning: ___
Estimated capacity of a kitchen sink: ___ L. Reasoning: ___
Metric Prefix Knowledge
Circle the correct meaning of each prefix.
'kilo-' means:
'milli-' means:
'centi-' means:
1 megametre = ___metres:
Decimal and Metric Connection
Explain the decimal-metric connection for each.
Why is 0.1 km the same as 100 m? ___
Why is 0.001 kg the same as 1 g? ___
Create your own example: ___ = ___ (different units but same quantity)
Comparing Distances
The graph shows distances walked each day (each icon = 0.5 km). Answer the questions.
| Monday | |
| Tuesday | |
| Wednesday | |
| Thursday | |
| Friday |
What was the total distance walked in the week (in km)?
What was the mean daily distance (in metres)?
On which day was the least distance walked? How many metres?
Mass of Objects
Record how many objects fall into each mass category.
| Item | Tally | Total |
|---|---|---|
< 100 g | ||
100–500 g | ||
500 g–1 kg | ||
> 1 kg |
Speed and Decimal Metrics
Answer these metric problems involving speed.
A car travels at 90 km/h. How many metres does it travel in 1 minute? ___
A runner completes 2.4 km in 12 minutes. Speed = ___ km per minute = ___ m per second
Larger Metric Conversions
Convert these large-scale measurements.
1 tonne = ___ kg = ___ g
1 megaliter = ___ kL = ___ L
2.5 tonnes = ___ kg
4,750 kg = ___ tonnes = ___ t ___ kg
Multi-Step Metric Problems
Solve each multi-step problem using metric conversions.
You drink 250 mL of water 8 times a day. How many litres per week? ___
A school buys 24 bottles of hand sanitizer, each holding 0.5 L. Total = ___ L = ___ mL
You walk 350 m to school and back, 5 days a week. Total km per week = ___
Match Metric Conversions
Draw a line to match each measurement to its equivalent.
Metric Scales and Maps
Answer these scale and map problems.
A map has a scale of 1 cm : 2 km. A road is 5.5 cm on the map. Real length = ___ km
A model car is 1:50 scale. If the real car is 4.5 m long, the model is ___ cm long.
Metric Capacity in Cooking
Solve these cooking-context capacity problems.
A recipe needs 0.75 L of milk. You have a 2 L bottle. After using it, how many mL are left? ___
Triple a recipe that uses 250 mL of oil. New amount = ___ mL = ___ L
You make 5 batches, each needing 350 mL of water. Total = ___ L ___ mL
Metric Length in Construction
Solve these construction-context length problems.
A fence needs 3 sections, each 2.35 m long. Total length = ___ m = ___ cm
Tiles are each 30 cm × 30 cm. How many tiles fit in a row of 3.6 m? ___
A room is 4 m 25 cm long. Convert to mm: ___
Classify Measurements by Size
Sort these metric measurements from smallest to largest.
Metric Connections Summary
Complete this summary of key metric connections.
Complete: 1 km = ___ m = ___ cm = ___ mm
Complete: 1 kg = ___ g. 1 t = ___ kg = ___ g
Complete: 1 L = ___ mL. 1 kL = ___ L = ___ mL
Which metric conversions do you find easiest? Why? ___