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**Meters, Grams and Liters**

The Metric System Meters, Grams and Liters

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The Metric System The metric system is a measurement system based on our decimal (base 10) number system. Other countries and all scientists and engineers use the metric system for measurement.

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**Metric Prefixes Prefix Symbol Factor Number Factor Word Kilo- k 1000**

Metric Units The metric system has prefix modifiers that are multiples of 10. Prefix Symbol Factor Number Factor Word Kilo- k 1000 Thousand Hecto- h 100 Hundred Deca- da or dk 10 Ten Unit m, l, or g 1 One Deci- d .1 Tenth Centi- c .01 Hundredth Milli- m .001 thousandth

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**Meters Meters measure length or distance**

One millimeter is about the thickness of a dime.

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**Meters One centimeter is about the width of a large paper clip**

or your fingernail.

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Meters A meter is about the width of a doorway

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**Meters A kilometer is about six city blocks or 10 football fields.**

1.6 kilometers is about 1 mile

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Gram Grams are used to measure mass or the weight of an object.

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Grams A milligram weighs about as much as a grain of salt.

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**Grams 1 gram weighs about as much as a small paper clip.**

1 kilogram weighs about as much as 6 apples or 2 pounds.

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Liters Liters measure liquids or capacity. 2 Liter Soda

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Liter 1 milliliter is about the amount of one drop

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Liter 1 liter is half of a 2 liter bottle of Coke or other soda

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What unit would you use to measure each of the following items?

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**Which unit would you use to measure the length of this bicycle?**

km m cm mm

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**Which unit would you use to measure the mass of a penny?**

km g cL mg

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**Which unit would you use to measure the water in an aquarium?**

L m cL mg

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**Which unit would you use to measure the mass of a feather?**

L m cL mg

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**Which unit would you use to measure the mass of a student desk?**

kg g cL mg

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**Which unit would you use to measure the mass of a whole watermelon?**

kg g cL mg

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**Which unit would you use to measure the mass of an egg?**

kg g mm mg

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**Which unit would you use to measure a can of soup?**

kL L mm mL

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**Which unit would you use to measure this glass of milk?**

kL L cL mL

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**Which unit would you use to measure the distance across Kansas?**

km m cm mL

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**Which unit would you use to measure the height of a tree?**

km m cm mm

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**Which unit would you use to measure the length of a bracelet?**

km m cm mm

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Changing Metric Units To change from one unit to another in the metric system you simply multiply or divide by a power of 10.

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**Place Values of Metric Prefixes**

Move the decimal point to the right to multiply. Move the decimal point to the left to divide.

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**Commonly used Metric Units of Length, Mass and Volume**

Length mm cm m km (small) (big) Mass Mg g kg (small) (Big) Volume mL L (small) (Big)

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**To change from a larger unit to a smaller unit, you need to multiply.**

km m (x 1000) 1000 m = 1 km m cm (x 100) 100 cm = 1 m cm mm (x 10) 10 mm = 1 cm Length Example- 15 km = ____m 15 x 1000 = 15,000 m

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Mass g mg (x 1000) 1,000 mg = 1kg kg g (x 1000) 1,000 g = 1kg Example- 9 g = ____ mg 9 x 1000 = 9,000 mg

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**Volume L mL (x 1000) 1,000 mL = 1 L Example- 60 L = ___ mL 60 x 1000 = 60,000 mL **

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**To change from smaller units to larger units you divide by a power of ten.**

Length Example- 50 cm = ____ m 50 ÷ 100 = .5 m 75 mm = ___ cm 75 ÷ 10 = 7.5 cm mm cm (÷ 10) 10 mm = 1 cm cm m (÷ 100) 100 cm = 1m m km (÷ 1000) 1,000 m = 1km

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Mass mg g (÷ 1000) 1,000 mg = 1kg g kg (÷ 1000) 1,000 g = 1kg Example- 600 mg = ____ g 600 ÷ 1000 = .6 g

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**Volume mL L (÷ 1000) 1,000 mL = 1 L Example- 500 mL = ____ L 500 ÷ 1000 = .5 L **

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**Setting up a Proportion or Conversion Ratio**

60 cm = ____ m -Write your conversion factor 100 cm = 1 m -Set up your proportion/conversion ratio 60 cm X -Cross multiply and solve for X X = 60 100 cm = 1 m 60 cm X X = .6 m

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