Multiplication Of Whole Numbers & Factors Worksheet With Answers - Professor Weissman'S Algebra Classroom
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12Lesson
Multiplication of Whole
Number 3
Numbers & Factors
Professor Weissman‟s Algebra Classroom
Martin Weissman, Jonathan S. Weissman. & Tamara Farber
What Are The Different Ways To Show Multiplication?
Before you see how we show Multiplying, let‟s just say that we are not going to use the letter X any more!
That‟s because we use the letter X in Algebra to stand for a number. That being said, if we want to show
7 times 5 we have all these ways:
7(5)
(7)5
(7) (5)
Using Parentheses around either number or both
7•5
Using a „dot‟ , but be careful. The dot must be raised to the middle so that it will not be con-
fused with a decimal point.
x (y)
(x) y
(x) (y)
7xy
xy Neither parentheses nor a dot is really needed.
5(y)
(5)y
(5) (y)
5•y
5y Neither parentheses nor a dot is really needed.
Why is Multiplication Called A
Why Is An Exponent Called A
Shortcut?
Shortcut?
Inside this issue:
Multiplication is a shortcut for addition. For
An exponent is a shorthand way to show that
example if the cost of a bus ride is $3 then
we are MULTIPLYING with the same num-
Multiplication
1
the cost of 4 bus rides would be $12.
ber. Suppose that we are multiplying with a
3, four times. That’s 3•3•3•3. Here we can
Properties Of Multipli-
2
We can say that 4 threes are 8. What we
say that 4 threes are 81.
mean is that is we ADD 4 threes then the
Powers Of Ten
2
sum is 12. The 4 tells us the number of times
3
=3•3•3•3=81
4
to ADD 3.
Multiplying With Zeros
2
4•3=3+3+3+3=12
Estimate
2
3 is called the base. 4 is called the exponent.
Powers of Ten
2
What Are Powers Of Ten?
What Are Factors?
Factors
2
In a multiplication problem each
Some powers of ten are the numbers in the
Primes Composites
2
sequence 10, 100, 1000, 10000, etc.
of the numbers being multiplied is
These numbers are generated by using 10 as
called a factor. For example, 7ab
Area/Perimeter
3
a base with exponents (or powers) of 1, 2, 3,
would have 3 factors, 7, a, and b.
4, 5, etc. The exponent tells you how many
The entire expression 7ab is called
zeros follow the 1.
a product.
1
2
10
=10
10
=100
Professor‟s Class
4-9
How many factors are in: 9x
y ?
2
Exercises
10
3
4
10
=1000 10
=10000
When expanded it looks like this:
Fun Page
11
5
10
=100000
9•x•x•y There are 4 factors.
Solutions Page
8
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