I.
Writing a Number as a Product of Primes
We call a whole number greater than one prime if it cannot be divided evenly
except by itself and one. For example the number 7 is prime but the
number 6 is not, because
6 = 2x3
A number that is not prime is call
I.
The Number System and Base 10
The number system is constructed based on the principal that we have ten
fingers. When we count after 9 we arrive at the two digit number 10. Similarly
after 99 we arrive at a three digit number. We call the rightmost digi
I.
Strategies For Solving Application Problems
Application problems, a.k.a. word problems or story problems, traditional pose
the greatest challenge to math students. We must keep in mind, however, that
other then just enjoying math as a beautiful art for
II.
Exercises
Simplify the following
14
A.
35
Hold mouse over the yellow rectangle for the solution
24
B.
33
Hold mouse over the yellow rectangle for the solution
If we do not immediately see the common factor, we can factor the numerator
and the denomina
I.
No Borrowing
To subtract whole numbers we write them as in an addition problem and subtract each
digit moving from the right to the left.
Example:
789
- 34
755
II.
Note that 9 - 4 = 5,
8 - 3 = 5, and 7 - 0 = 7
Borrowing is Necessary
If when subtracting
I.
Definitions
In module A, all the numbers that we encountered were whole numbers.
Although the whole numbers are important, they only tell part of the story.
Module B is the study of fractions which are defined as parts of the whole.
Example
Consider th
The Number Line
I.
On of the most useful ways of displaying numbers is the number line which is
defined as follows. First draw a line. then label a number on the line (usually
0). To the left of that number represents values below and to the right of that
I.
Some Definitions
When multiplying two numbers such as
2x3 = 6
The numbers on the left (the 2 and the 3) are called factors and the result (the
6) is called the product.
II.
Properties of Multiplication
A.
The Zero Property
If you receive one million do
I.
Exponents
Recall that multiplication is defined as repeated addition, for example
4+4+4+4+4+4+4 = 4x7
What about repeated multiplication? For example, is there an easy way to
write
4x4x4x4x4x4x4
Fortunately, mathematicians have developed a convenient w
I.
Definition of Division
Example:
Suppose that we have twelve students in the class and we want to divide the
class into three equal groups. How many should be in each group?
Solution:
We can ask the alternative question, "Three times what number equals