Transcript NS1_3C Understanding positive integer powers of nonnegative

Today we will compute
examples (of positive integer
powers of nonnegative
integers) as repeated
multiplication.
compute=to solve
positive integer =whole numbers greater
than zero
nonnegative integers =positive numbers
•
Positive integer- a whole number greater than 0.
•
Nonnegative integer- a whole number greater than 0.
•
Power or Exponent- a mathematical notation indicating the
number of times a quantity is multiplied by itself.
– A power or exponent is placed to the right of and above
another number.
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 read and
write 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 read and write
exponents?
Definition of Exponent
• An exponent tells how many
times a number is multiplied by
itself.
Base
3
4
Exponent
Repeated Multiplication
• Sometimes multiplication
is done over and over and
over.
• To write 3x3x3x3 we write
34
What an Exponent Represents
• An exponent tells how many
times a number is multiplied by
itself.
4
3 =3x3x3x3
Products of powers with the same base can be
found by writing each power as a repeated
multiplication.
To write
5x5x5x5 we
4
write 5
Combining Exponents
x x
 x x  xxx
2
x
Fall 2004
3
5
9
EXPONENTS
• Writing numbers with exponents is a
method to write repeated multiplication
2
• Five squared is: 5  5  5  25
• Four cubed is: 4  4  4  43  64
• Two to the fourth power is:
2  2  2  2  2  16
4
What does the dot mean?
2 . 2 . 2 = 16
The . (dot)
means you
multiply
EXPONENTS
• Five squared is: 5  5  52  25
• Four cubed is: 4  4  4  43  64
• Two to the fourth power is:
2  2  2  2  2  16
4
Write as using exponents
5.5.5.5=
4
5
What is the Exponent?
5.5.5.5=
5
4
What is the
Exponent ?
8.8.8.8=
8
4
Now you try
Write as Exponent
7.7.7.7.7=
7
5
Now you try
Write as Exponent
8 . 8 . 8 . 8 . 8 =8
5
The dot means
you multiply.
What does the dot mean in 2.2.2.2?
How do you write 5.5.5.5.5 in
exponent form?
5
5