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Explore the principles of scientific notation and the metric system in detail. Learn to express measurements in scientific notation and convert between various metric units, such as grams, liters, and meters, using prefixes like kilo, centi, and milli. This guide covers essential base units, provides examples, and offers practice exercises to reinforce your understanding. Discover how to move the decimal point to express very large or small numbers efficiently, making complex calculations simpler and clearer.
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Write QUESTION DOWN Provide the scientific notation for 0.00125 grams Entry Task: Sept 24th Monday
Sign off on Ch. 2 reading notes In class discuss base units and metrics In class discuss Scientific notation Agenda:
Convert metric data from one unit to another Express numbers in scientific notation. I can…
Prefix kilo 1000 hecta 100 deca 10 Base 1 deci 0.1 centi 0.01 milli 0.001
The Metric System Base Units Length meter Mass gram Volume liters
Put in the prefix Prefix + base = measurement kilo- meter 1000 meters centi- liter 0.01 liters deca- gram 10 grams
Conversions kilo hecta deca Base deci centi milli 300. centimeters = hm Move the decimal point toward the prefix you want. 0.03 hm The decimal moved to the left 4 times 0 0 3 0 0
Practice kilo hecta deca Base deci centi milli 250000 25 kilograms to _______________ decigrams Where do we start? Kilo Where do we end? deci How many spots and which direction? 4 to the right
Practice kilo hecta deca Base deci centi milli 0.0043 grams to hectograms 0.000043 hm 38508 meters to kilometers 38.508 km 1.34 milliliters to liters 0.00134 L 975.6 liters to kiloliters 0.9756 kL 0.365 millimeters to meters 365 m 12.30 decagram to decigram 1230 dm
Used to express really big or small numbers Really big- power of 10 is in the positive Really small- power of 10 is in the negative You move the decimal point behind the first NON ZERO number. Scientific Notation
1392000 km Is this a big number or small? Is my power of 10 in the positive or negative? Where does the decimal go? 1.392 x 106 km Practice
Practice Scientific Notation 0.000003457 grams 3.457 x 10-6 grams 48000 meters 4.8 x 104 meters 0.0002563 meters 2.563 x 10-4 meters 0.00000000967meters 9.67 x 10-9 meters 8,900,000,000,000 kilometers 8.9 x 1012 km 120.00 grams 1.2 x 102 g 1342.35 liters 1.34235 x 103 L 0.00123 grams 1.23 x 10-3 g