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This course provides a basic understanding of science and technology, helping students make informed decisions through the scientific method. Topics include math principles, fractions, and skills for future science classes.
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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.
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 0900? • 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 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 • A proper fraction has a value less than one • The numerator is smaller than the denominator. numerator denominator
Properties of Fractions • Value of a fraction is not altered if numerator and denominator are multiplied • Or divided
Denominator must be the same Usually is the least common denominator (LCD) Change to equivalant fractions EX: ½ + ¼ = 2 2 2 4 2 1 2 + 1 3 4 4 4 4 Adding and Subtracting Fractions = X = + =
Subtracting 1/3 – ¼ = Determine LCD: 1/3 x 4/4 = 4/12 ¼ x 3/3 = 3/12 Answer: 4/12 - 3/12 = 1/12
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 = = =
Multiplying fractions with calculator 245.8 24.9 12.8 3.85 675.9 28.4 Enter into calculator 2 ways: 245.8 x 24.9 x 12.8 ÷ 3.85 ÷675.9 ÷28.4 = 1.06 245.8 ÷ 3.85 x 24.9 ÷ 675.9 x 12.8 ÷ 28.4 = 1.06 X X =
Dividing Fractions 1 1 ÷ = 2 4 becomes 4 1 x = 2 2 1