1. Metric System
Solve problems in various contexts involving conversion of weights, capacities, geometric measurements, and times within measurement systems using appropriate lengths.

2. I can… Change from one metric unit to another Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

3. Metric Conversions Using the Ladder Method
To convert to a smaller unit, move decimal point to right.
Base Unit
Meter
Liter
gram
To convert to a larger unit, move decimal point to left.

4. Large Units Ex: 10 meters (m) = ______ km 10.0 m = 0.01 km ÷ 10 ÷ 10
Base Unit
Meter
Liter
Gram
Deka
10 Units
Kilo
1000 Units
Hecto
100
Units
÷ 10
÷ 10
10.0 m
= km
To convert to a larger unit, move decimal point to left.

5. Smaller Units
To convert to a smaller unit, move decimal point to right.
Base Unit
Meter
Liter
Gram
Deka 10
Units
Kilo
1000 Units
Hecto
100
Deci
0.1 (1/10)
Centi
0.01 (1/100)
units
Milli
0.001 (1/1000)
x 10
x 10
Ex: 10 meters (m) = ______ cm
10.0 m
= 1000 cm

6. Convert 47 Dekameters to Decimeters.
Largest Basic Unit Smallest
Kilo- Hecto Deka * Deci Centi Milli-
Convert 57 Decimeters to Dekameters

7. Move decimal 2 places to the left
Comparing Measures
>
170 cm ______ 1.6 m
Change 170 cm to meters so that the units are the same for both measures.
Move decimal 2 places to the left
170 cm = (170 ÷ 100) m
1.7m

8. Multi-Step Problems Step 1 Mass quarters = 2.3 kg - 0.9 kg 1.4 kg
A jar filled with state quarters has a mass of 2.3 kilograms. The jar’s mass is 0.9 kilograms when empty. Each quarter has a mass of about 5.6 grams. About how many quarters are in the jar?
Step 1
Mass quarters = Mass full jar – Mass empty jar
Mass quarters = 2.3 kg kg
1.4 kg

9. Multi-Step Problems Step 2 1.4 kg = (1.4 X 1000) g 1400 g
A jar filled with state quarters has a mass of 2.3 kilograms. The jar’s mass is 0.9 kilograms when empty. Each quarter has a mass of about 5.6 grams. About how many quarters are in the jar?
Step 2
Change mass of quarter to grams to match up with problem.
1.4 kg = (1.4 X 1000) g
1400 g

10. Multi-Step Problems Step 3 1400 g = 5.6 g 250 state quarters
A jar filled with state quarters has a mass of 2.3 kilograms. The jar’s mass is 0.9 kilograms when empty. Each quarter has a mass of about 5.6 grams. About how many quarters are in the jar?
Step 3
Divide to find number of quarters in jar.
1400 g = 5.6 g
250 state quarters

11. Practice Problems
Try these conversions, using the ladder method.
1000 mg = _______ g
1 L = _______ mL
160 cm = _______ mm
1.4 km = _______ m
10.9 cg = _______________ kg
0.250 m = ______________ km 1
1000
1600
1400

12. I can… Change from one metric unit to another Self Assessment
5- I can do it without help & teach others.
4- I can do this with no help, but I don’t know if I can explain it.
3- I can do this with a little help.
2- I can do this with a lot of help!
1- I don’t have a clue.

13. Units must be the same in order to compare!
Daily Check 4.8
in your math notebook
Change 2.8 Liters to milliliters.
Complete each statement with <, >, or =.
2005 L ____ kL
0.15 m ____ 1.5 cm
A jar filled with quarters has a mass of 4.5 kilograms. The jar’s mass is 0.86 kilograms when empty. Given that a quarter has a mass of about 5.6 grams, about how many quarters are in the jar?
Units must be the same in order to compare!