Download 1. session-1 - Tony`s Teaching & Learning

Session 1
Topic 3 : Academic
Numeracy
Introduction
• Tony D Susanto (Tony)
PhD Student – Computer
email: [email protected]
Web: tonyteaching.wordpress.com
--------------------------------------------------------1. Now, Get information about person next
to you (name, address, height, weight,…)
 You should describe about that person
later (as clear as possible)
--------------------------------------------------------QUANTITATIVE Information
e.g. 30 years old, 160 cm, has 2 sons
INFORMATION
QUALITATIVE Information
e.g. tall, beautiful, brown eyes, curly hair
2. Mention one of your daily
activities that requires
mathematical skill !
• Understanding the place values of number
Millions 
Hundreds of  Tens of  Thousands  Hundreds
Thousands
Thousands
Tens  Units
8,901,634
(put coma in groups of three digits)
• Meaning of + and e.g. +5 or often written as 5, - 3
+ and - are shown position from zero value
Positive value is
quantities
more than zero
2
1
-5
-4 -3 -2
-1 0
Negative value is
quantities
less than zero
1
2
3
4
5
0
-1
-2
Zero value is
Reference point
~ Sea level
~ Starting point
~ You don’t have any
money & don’t have
any debt
Basic Operations: Addition (+), Subtraction
(-), Multiplication (x), Division (/), Power,
and Roots (√ )
1. Addition (+)
is combining two numbers.
A+ B =B + A
A + (-B) = A - B
e.g.: 3 + 2 = 2 + 3
3 + (-2) = 3 - 2
2. Subtraction (-)
is taking one number from another.
A - B ≠B - A
A - B = A + (-B)
e.g.: 3 - 2
3 -2
≠ 2-3
= 3 + (-2)
•
Brackets ( ) { } [ ]
“all inside the brackets are one unit so do it first!”
e.g.:
10 + (2 – 1) = 10 + 1 = 11
10 x (2 – 1) = 10 x 1 = 10
Nested Brackets
(10 x (2 – 1)) x 2 = (10 x 1) x 2 = 10 x 2 = 20
3. Multiplication
x
*

3 x 2 multiplying 3 with 2 means “adding 2 units of 3”
+
=
= 6
AxB=BxA
Ax1=A
Ax0=0
A x (B x C) = ( A x B ) x C
=AxBxC
e.g.: 3 x 2
= 2x3
1000 x 1 = 1000
19878 x 0 = 0
3 x (2 x 4) = (3 x 2) x 4 = 3 x 2 x 4 = 24
4. Division

/ ‒
“To share some quantity and then calculate the size
of each share”
Is the inverse of multiplication
3
32 = 3/2 =
2
Dividing by zero is not permissible (not available)
3  0 = no result
Rules for Multiplication and Division when
working with positive or negative
numbers
Same signs (all number are positive or all numbers are
negative) = Positive answers
Different signs (a number is positive and the other is
negative) = Negative answers
3 x (-2) = -6
-3 x (-2) = 6
3x2=6
6/2=3
(-6) / 2 = -3
6 / (-2) = 3
5. Power
“multiplying a number by itself one or more times
(based on the exponent)”
32 = 3 x 3 = 9
24 = 2 x 2 x 2 x 2 = 16
Any number raised to the power of zero is 1
n0=1
e.g. 1987670=1
10=1
Negative Exponents
a-n=
1
an
1
n
=a
a-n
6. Roots
n

Inverse of Powers
 16 = ?
?2 = 16
“What number that if multiplied by itself twice will get 16”
3
 27 = ?
?3 = 27
“What number that if multiplied by itself three times will get 27”
Order of Operation
•
BEDMAS:
1.
2.
3.
4.
5.
6.
Brackets
Exponents
Division
Multiplication
Addition
Subtraction