Transcript Warm-Up

EXPONENTS
 Today
you will learn how to represent
numbers using exponents.
 We will discuss vocabulary.
 We will discuss exponential form and
evaluate expressions involving
exponents.
 We will practice examples.
Vocabulary
Word
Definition
factor
a number multiplied by another number to get a
product. 2 x 3 = 6 (2 and 3 are factors of 6)
exponent
The number that indicates how many times the base is
used as a factor. Example: 34
The exponent is 4. Meaning 3 x 3 x 3 x 3—multiply 3
four times.
base
When a number is raised to a power, the number that is
used as a factor is the base. Example: 34
The base is 3. “Big, Base”
power
A number produced by raising the base to an exponent.
53
How we speak math: “5 raised to the third power”
“The exponent has power over the base”
Special Powers
squared—when the exponent is a 2 you can say “squared”
cubed—when the exponent is a 3 you can say “cubed”
SPECIAL RULES!!!!
Any base that is raised to the zero power always equals 1.
Any base raised to the first power always equals the base.
Perfect square—you can take any number,
square it, and find a perfect square
Examples:
Examples to try together:
Evaluate each expression.
1.
2.
3.
4.
4³
2 to the 4th power
5²
7 to the 0 power
Write each expression in exponential form.
1.
2.
3.
4.
7x7x7x7x7
1x1x1x1
9x9x9
18x18
In case Dana’s school closes, a phone tree is
used to contact each student’s family. The
secretary calls 3 families. Then each of
those families calls 3 other families, and so
on. How many families will be notified during
the 6th round of calls?
Examples to try on your own
Write each expression in exponential form.
1.
8x8x8
2.
7x7x7x7x7x7x7x7
3.
3x3x3x3
Evaluate each expression.
1.
6²
2.
3³
3.
1 to the 12th power
4.
12 to the 1st power
5.
789 to the zero power
One person will contact 4 people. Each of
those will contact 4 other people, and so
on. How many people will be contacted
in the 5th round?
HOMEWORK
Exponent Worksheet 1-3