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Understanding the Metric System: Units, Conversions, and Scientific Notation

Dive into the essentials of the metric system, covering key metric prefixes such as kilo, hecto, deka, deci, centi, and milli. Learn how to measure length in meters, volume in liters, and mass in grams, along with their practical equivalents. Understand the process of metric conversion with the K.H.D.O.D.C.M. method, and master scientific notation for large and small numbers. This guide simplifies measurements, making it accessible for students and anyone keen to understand scientific concepts.

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Understanding the Metric System: Units, Conversions, and Scientific Notation

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Presentation Transcript

  1. Scientific Measurements The metric system

  2. Metric Prefixes Kilo = 1000 Hecto = 100 Deka = 10 Deci = 1/10 Centi = 1/100 Milli = 1/1000

  3. Meters, Liters, Grams • Meters measure length • Liters measure volume • Grams measure mass

  4. How Big? • A meter is about 39 inches • A kilometer is 0.6 mile • A centimeter is about the width of your little finger • A gram is about the mass of a paper clip • A kilogram is 2.2 pounds • You drink 2 liters of pop

  5. Other metric units • Temperature is measured in degrees celsius or centigrade • Heat is measured in calories or joules • Weight is measured in newtons • Mega = 1,ooo,ooo • Micro = one millionth • Nano = one billionth

  6. K H D O D C M • Changing from one metric unit to another is called metric conversion • “O” is the space where meter, liter, or gram belongs • Kids Have Dropped Over Dead Converting Metrics • Let’s practice!

  7. K H D O D C M • To change from one metric unit to another, we simply move the decimal point. • For example: • 25.4 km = _____________ cm? • K-H-D-O-D-C is 5 places to the right • 25.4 km = 2,540,000 cm

  8. K H D O D C M • 30 cm = ___________hm • C – D- O –D- H is 4 places to the left • 30 cm = 0.0030 hm • (this is the same as 0.003 hm) • 14 dal = _____dl • D- O –D is 2 places to the right • 14 dal = 1400 dl

  9. Scientific notation • Rules: 1 digit before the decimal point Multiply the number by a power of 10 • Example: Write 34,000 in scientific notation. • Solution: 3.4 x 104

  10. Write the following in scientific notation: 4.1 x 106 • 4,100,000 = _______________ • 345,600,000,000 = _________ • 0.0456= ________________ • 0.00000012=____________ • O.00305= ____________ 3.456 x 1011 4.56 x 10-2 1.2 x 10-7 3.05 x 10-3

  11. Write the following in standard form: 4670 • 4.67 x 103 =__________________ • 3.112 x 105 = _________________ • 3.112 x 10-4 = ________________ • 4 x 10-6 = ___________________ • 1 x 1011 = __________________ 311200 0.0003112 0.000004 100,000,000,000

  12. That’s all folks! • Time to try some on your worksheets!

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