# Metric Conversion - Thomas County Schools Metric Conversion You dont really think I can do this?? The Metric Staircase A staircase is an excellent model of how the prefixes of metric units relate to each other.

The Metric Staircase Kilo 1,000 Hecto 100 Deka 10

Ones/Base 1 Deci 1/10 or 0.1 Centi 1/100 or 0.01 Milli These are the prefixes that apply to all metric units. 1/1000 or 0.001 Kilo Kids

Hecto Have Deka Dropped Ones Over Deci Dead Centi Changing Milli Metrics Here is a sentence to help you remember the prefixes. Length

Kilometer km Hectometer hm Dekameter dkm Meter m Decimeter dm La rg er

Centimeter cm Millimeter mm The standard unit of length is the meter. Mass Kilogram kg Hectogram hg

Dekagram dkg Gram g Decigram dg La rg er Centigram cg Milligram mg

The standard unit of mass is the gram. Volume Kiloliter kl Hectoliter hl Dekaliter dkl Liter l Deciliter dl

La rg er Centiliter cl Milliliter ml The standard unit of volume is the liter. Kilo

The Metric Staircase Hecto Deka Ones/Base Deci Centi Milli The staircase also tells us which way to move the decimal. As the unit gets smaller, you shift the decimal to the right. As the unit gets larger, the

decimal shifts to the left. Kilo The Metric Staircase Hecto Deka Ones/Base Deci Centi Milli

The metric staircase is easy to use because each unit differs from the next by a factor of 10. Units get larger as you climb. Units get smaller as you descend. Kilo The Metric Staircase Hecto Deka

Ones/Base Deci Centi Milli When converting between units, move the decimal one place for every step taken. Move it in the direction shown on the staircase. If there is not a number in the moved place, place a zero in the spot.

km hm dkm m dm cm mm Lets use a line to represent a distance of a kilometer. 1 km=10 hm=100 dkm=? m = ? dm = ?cm= ? mm

Sample Problem: km hm 7.359 m = ???? cm dkm m dm cm mm

To get from m to cm, we must take 2 steps to the right. Therefore, we must shift the decimal two places to the right. Answer: . 7.359 m = 7 . 3 5 9 cm

735.9 cm Sample Problem: km hm 1200 m = ???? km dkm m

dm cm . 1200 m = 1 2 0 0 . km

mm Answer: 1.2 cm 45.6 cm = ?? m 45.6 cm = .456 m 4568 g = ?? kg

4568 g = 4.568 kg 9.08 l = ?? ml 9.08 l = 9,080 ml 320 mg = ?? g 320 mg = 0.320

g Homework 1) 10 L = ?? ml 2) 123 mm = ?? cm 3) 3000 g = ?? kg 4) 1.2 kg = ?? dkg 5) 1.2 kg = ?? dg

6) 5 g = ?? mg 7) 50 g = ?? kg