Download Understanding Exponents - Pacoima Charter School

Today we will compute
positive integer powers of
nonnegative integers.
compute= to solve
positive integer = whole numbers greater
than zero
nonnegative integers = positive numbers
Positive integer- a whole number greater than
0.
Examples of positive integers:
1
5
19 1,008
1,500,609,433
Non examples of positive integers:
-1 -5 -19 ½ 1.5 -1.909
Nonnegative integer- a whole
number greater than 0.
Examples of nonnegative integers are:
1
50
600 7,000
8,000,454,099
Non examples on nonnegative integers:
-1 -1.5
-1,009,857
-1/2
Power or Exponent- a mathematical notation indicating
the number of times a quantity is multiplied by itself.
Examples of power or exponent:
Non examples of power or exponents:
10 -210
½ ¼ 1.5 -4.5
• Base
6
4
Exponent
The exponent is
sometimes referred to as
the power.
- Name the following
What’s
this?
What’s this?
What is the meaning of
•
6
4 means
6
4
?
to multiply
the base 4 by itself 6
times.
4
3
31
3
3
3 x 3 x 3 x 3
3
2
4
3
Multiply 3x3x3x3 = 81
81
It is important to know how to compute
exponents because they are used when
finding the area of certain places.
It is on your grade level standards
probably all the way until you graduate
12th grade
What other reasons can you think of why
it is important to compute exponents?
Definition of Exponent
• An exponent tells how many
times a number is multiplied by
itself.
Base
3
4
Exponent
What an Exponent Represents
• An exponent tells how many
times a number is multiplied by
itself.
4
3 =3x3x3x3
How to multiply out an Exponent to
find the
Standard Form
4
3 =3x3x3x3
9
27
81
Write the Power in
Standard Form
4
2
= 16
4 x 4 = 16
Make sure that you do not read
this question as 4 x 2.
Write the Power in
Standard Form
2
3
= 8
2x2x2=
4x2= 8
How did you
do?
Write the Power in
Standard Form
3
2
= 9
3x3= 9
Again, make sure that you do
not read this question as 3 x 2.
You try these . . .
• 72
49
•
625
4
5
Write as the product?
2
3 3x3=9
Write as the Product?
5
5
5 x 5 x 5 x 5 = 3125
Write in standard form?
5
2
5x5
3
What is an exponent?
An exponent tells how many times
a number is multiplied by itself.
Congratulations, now you know
a little more about exponents.
The End