Metric System 6.3.3.1 Solve problems in various contexts involving conversion of weights, capacities, geometric measurements, and times within measurement systems using appropriate lengths.

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.

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.

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 = 0.01 km To convert to a larger unit, move decimal point to left.

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

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

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

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 - 0.9 kg 1.4 kg

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

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

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 0.000109 0.000250

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.

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 ____ 2.05 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!