Transcript Business Math

Discovering Mathematics
Week 3
Unit 2: Mathematical Models
Unit 3: Numbers
Unit 2: Mathematical Models
• Using Formulas
o From words to letters
o Writing formulas concisely
o Constructing your own formulas
• Inequalities:
– Notation for working with inequalities
– Illustrating inequalities on a number line
3. Using Formulas
• In every day life, many things are represented by
symbols. Give examples.
• Solving a problem in mathematics often involves
using a formula. For example:
distance (d) = average speed (s) x time (t)
 To find the value of d, take the value of s and
multiply by the value of t, this process is called
substitution. (give examples)
Using formula
Writing formulas concisely
Substituting negative numbers
Try this examples
Constructing your own formulas
•
You can construct a formula by following the three
steps:
- first, identify the subject of the formula.
- Next, find the relationship between the variables.
- Finally, write down all the details of the formula.
Let us solve some examples:
Construct your formula
4. Inequalities
Examples:
Put the correct sign (< or > ):
1- 12 __3
2- -2.5 __ -4.5
Students: solve activity 26 and 26
UNIT 3. Numbers
• Natural numbers
• Rational numbers
• Irrational numbers and real numbers
• Ratios
1. Natural Numbers
Multiples:
Common multiples
• A common multiples of two or more numbers is a
number that is a multiple of all of them.
• Multiple of 6: 6, 12,18, 24, 30, 36, 42, 48,..
• Multiple of 8: 8, 16, 24, 32, 40, 48, 56,..
• Number 24 appears in both multiples, then 24 is a
common multiple of 6 and 8. What else?
Lowest common multiple
The lowest common multiple (LCM) of two or more
numbers is the smallest number that is a multiple of all of
them.
- What is the lowest common multiple for numbers 4 and 6?
Multiple of 4= 4,8,12,16,..
Multiple of 6= 6,12,18,24,30,..
Then, LCM = 12
- Solve activity 3, page 122.
Factors
- A natural number that divides exactly into a second natural
number is called a factor or divisor of the second number.
- Find all the factors of 28
- First pair is 1, 28
- Second pair is 2, 14
Find the factors of number 45
- Third pair is 4, 7
- Try 5, 5 is not a factor. 6 is not a factor either
- Try 7, yes it is 7 and 4 and it is already there, so stop here. The
factors of 28 is 1,2,4,7,14 and 28
Common factor
• A common factor of two or more numbers is a number
that is a factor of all of them. The highest common factor
(HCF) of two or more numbers is the largest number that
is a factor of all of them.
• Find the HCF for numbers 12 and 24
the factors of 12 = 1,2,3,4,6,12
the factors of 24 = 1,2,3,4,6,8,12,24
the highest common factors = 12
Powers
Dividing numbers in index form
Raising numbers in index form to powers
Rational numbers
Multiplying fractions
Thank you