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Welcome to SCIE 0910. Why do we study science?. Need a basic understanding of science Difference between science and technology Science = process to understand and explain the natural world Technology = application of scientific principles Helps us to make informed decisions
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Why do we study science? • Need a basic understanding of science • Difference between science and technology Science = process to understand and explain the natural world Technology = application of scientific principles • Helps us to make informed decisions • Using the Scientific Method to approach a problem and find a reasonable solution.
To be successful in the study of science; you must…. • Identify and locate information to be learned • Organize the information so it can be learned efficiently and effectively • Interpret the spoken, written and symbolic language of science • Use and apply the information you have learned.
The Learning Pyramid Lecture Listen Study Sessions Read Lecture Audiovisual Lecture & Lab Demonstration Study Sessions Discussion group Lab Practice by doing Study Sessions Teach others or immediate use Lab
Why SCIE 0910? • To introduce you to skills that will make you more successful in future science classes • Chemistry • Biology • Physics
Addition • Sum of 2 or more numbers called addends 2 + 4 = 4 + 2
Addition of numbers w/different signs (a good understanding is needed when we work with numbers expressed in Scientific Notation) 4 + 2 = 6 -4 + (- 2)= -6 -4 + 2 = -2
Combine numbers w/same sign 4 + (-5) + (-3) + 7 +(-9) = (-5) + (-3) + (-9) = -17 4 + 7 = 11 Finish the problem: -17+11 = -6 OR 11 + (-17) = -6
Subtraction 4 – (-2) = 4 + 2 = 6 4 – (+2) = 4 -2 = 2
-4 – (+2) = -4 – 2 = -6 -4 – (-2) = -2 -4 + 2 = -2
Multiplying 8 x 4 = 32 (positives) (-6) x (-3) = 18 (negative x negative = positive) (-2) x 4 = -8 negative x positive = negative
More than one number (-2) x 5 x (-3) x 4 = (-2 x 5) x (-3) x 4 = (-10) x (-3) x 4 = (-10) x (-12) = 120
4 x 3 x 7 x (-3) = 12 x 7 x (-3) = 12 x (-21) = - 252
Dividing Signed Numbers 16 ÷ 2 = 8 (-64) ÷ (-8) = 8 Same signs = positive answer
210 ÷ (-42) = -5 (-77) ÷ 11 = -7 different signs = negative answer
Fractions • Way of representing the division of a “whole” into “parts” 1 2 • The numerator expresses how many “parts” • The denominator expresses the total number of parts. numerator denominator
Proper Fraction • A proper fraction has a value less than one • The numerator is smaller than the denominator.
Properties of Fractions • Value of a fraction is not altered if numerator and denominator are multiplied • Or divided
Multiplying Fractions By a whole number: 2 3 2 X 6 3 X 1 12 3 4 = = 6 = X
Multiplying Fractions By another fraction: 2 15 2 x 15 30 15 3 16 3 x 16 48 24 X = = =
Dividing Fractions 1 1 ÷ = 2 4 becomes 4 1 x = 2 2 1
Need to be equivalent fractions to add correctly Numerators are added Denominators stay the same 1 + 1=2which reduces to 1 2 2 2 Adding Fractions
Denominator must be the same Usually is the least common denominator (LCD) Change to equivalent fractions EX: ½ + ¼ = 2 2 2 4 2 1 2 + 1 3 4 4 4 4 Adding Fractions = X = + =
Subtracting – same rules as for addition 1/3 – 1/4 = Determine LCD: 1/3 x 4/4 = 4/12 1/4 x 3/3 = 3/12 Answer: 4/12 - 3/12 = 1/12