Welcome to SCIE 0900
Instructor: Bernadine Cutsor
Why do we study science?
1. Need a basic understanding of science
2. Difference between science and
technology
Science = process to understand and
explain the natural world
Technology = application of scientific
principles
3. Helps us to make informed decisions
4. Using the Scientific Method to approach
a problem and find a reasonable
solution.
The Learning Pyramid
Listen
Study Sessions
Lecture
Read
Audiovisual
Demonstration
Study Sessions
Lecture
Lecture & Lab
Discussion group
Practice by doing
Lab
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
Review of Math Principles
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”
numerator
1
denominator
2
• 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
1x 3  3
2x3  6
• Or divided
Adding and Subtracting Fractions
• Denominator must be
the same
• Usually is the least
common denominator
(LCD)
• Change to equivalant
fractions
• EX:
½+¼=
1
2 =
X
2
2
2
4
2
4
2+1
4
+
1
4
=
=
3
4
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
2X6
X
6
=
3 X1
=
12
3
= 4
Multiplying Fractions
By another fraction:
2
15
X
=
3
16
2 x 15 30
3 x 16 = 48
15
= 24
Multiplying fractions with calculator
245.8
3.85
X
24.9
12.8
X
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
Dividing Fractions
1
÷
2
1
=
4
becomes
1
2
4
x
1
= 2