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Science Starter!. Be seated in assigned seat before the bell rings, with desk clear of anything except your binder, pen/pencil, calculator and signed syllabus/lab safety contract. Mathematics Review. Scientific Notation. a.bc X 10 d ALWAYS in the same format! NEVER: ab.c X 10 d
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Science Starter! Be seated in assigned seat before the bell rings, with desk clear of anything except your binder, pen/pencil, calculator and signed syllabus/lab safety contract.
Scientific Notation a.bcX 10 d ALWAYS in the same format! NEVER: ab.cX10 d 0.abcX 10 d
Writing in Scientific Notation 143,000,000,000. Move decimal left or right until there is ONE digit in the one’s place. Count the spaces moved: 1.43000000000 [11 spaces] Write the number as a decimal, and use the number of spaces moved as the exponent [ Positive if the number is larger than 1, Negative if the number is a decimal ] 1.43 x10 11
Example 1: 0.000000056 Example 2: 537.0 Example 3: 0.50
Example 980 nm • Identify the prefix and the unit “n”: nano “m”: meter • Scientific notation form: replace prefix with multiplier. 980 x 10-9 m • Expanded form 0.000000980 m
Prefixes Letters used to represent powers of 10:
Conversions Factor-Label Method tips: • Write the quantity you are given. • Next to your “given”, write the conversion factor as a fraction, with the same unit that is in the “given” on the bottom. 3. Multiply across the top and the bottom, then simplify.
Conversion Factors Metric / English 1 yard = 3 ft 1 ft = 12 in 1 mi = 5,280 ft 1 in = 2.54 cm 1 m = 3.281 ft Metric / Metric 1,000,000,000 nm = 1 m 1,000,000 μm = 1 m 1,000 mm = 1m 100 cm = 1 m 1,000 m = 1 km
Ex: How many centimeters are in 5.5 ft? (1) (2) (3)
Try These: 560 ft m 25 km in 6 cm yards
Dimensional Analysis Ex. Convert 20 m/s to ft/min. • Write the “given” as a fraction: • Convert the distance to the right: • Convert the time to the left:
4) Multiply across the top and bottom: 5) Simplify your answer:
Try These… • 50 mi/hr ft/min 2) 10 m/s mi/hr 3) 5 m/s mi/hr
1) 2) 3)