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Metric, rounding, scientific notation Name_______________________ Period______________________ Prefix abbrev METRIC CONVERSIONS Giga (G) 1 Gm = 1 x 10 9 m or 1,000,000,000 m mega (M) 1 Mm = 1 x 10 6 m 1,000,000 m kilo (k) 1 km = 1 x 10 3 m 1,000 m deka (da) 1 dam = 10 m meter, seconds , liters, grams (BASE UNIT) 1m = 100 m deci (d) (1 x 10 -1) m = 1 dm centi ( c ) (1 x 10 -2) m = 1cm milli ( m ) (1 x 10 -3) m = 1mm micro (μ ) ( 1 x 10 -6) m = 1 μm nano (n) ( 1 X 10 -9) m = 1 nm pico (p) ( 1 x 10 -12) m = 1 pm If you give the bigger unit the one and you will always have positive exponents. Example: 1m = 103 mm **Metric to English 1 inch = 2.54 cm Practice: a) 1 mm = _________m b) 1 m = _______cm c) 10 inches = ______ cm d) 1 m = _______ nm g) 1 m = _______Gm e) 1m = _________km h) 5 Mm = __________m f) 1 m = _________μm i) 2 pm = ________m Rounding Rules: If a number ends in 5 or higher, round up If a number ends in 4 or lower, round down Round the following to the nearest one-tenth of a meter: Ex: 2.45 m round to 2.5m Ex: 2.43 m rounds to 2.4 m j) 10.09m k) 9.51m Round to the nearest gram. o) 9.9 g p) 14.595g l) 9.995m q) 84.73g m) 9.985 m n) 9.85m r) 82.495 g Scientific notation: a given number is written as the product of two numbers EX: 2.0 x 10 5 grams (a coefficient and an exponent) * you can only have one number before the decimal, the exponent tells you how many places to move the decimal, negative exponents are numbers smaller than one, positive exponents are numbers larger than one Ex: 2x 10 3 g = 2000g Ex: 1.20 x 10 -2 g = 0.0120g Change S-V into scientific notation, W-Z to standard notation. s) 0.00301 m ____________ t) 310 m____________ u) 0.0000006m ___________ v) 6020000m___________ w) 1.30 x 10-5 m ___________ x) 5.2 x 10 1 m_________ y) 8.9 x 10 -4 m ___________ z) 2.175 x 10 0 m _________________