Download Chapter 1 Variables, Expressions, and Integers

1.3 (Powers and Exponents)
DATE
Vocabulary
*** Expanded notation: a number expanded by place value.
Ex: 325,706 = 300,000 + 20,000 + 5,000 + 700 + 6
*** Standard Form: written as a whole number.
Ex: 325,706
*** Word Form: Three Hundred Twenty-five Thousand Seven
Hundred Six
*** Factor: Whole numbers other than 0 that are multiplied
together to get the answer (product).
Ex: 12 x 10 x 4 x 14
*** Power: Used to write a product that has a repeated factor.
Ex: 10 x 10 x 10 x 10 = 104
*** Base: The number that is the repeated factor.
*** Exponent: The number of times the factor is repeated
Base
Exponent (Power)
63 = 6 x 6 x 6
There are 3 factors
*** Exponential Form: 63
*** Reading Powers: 32 is read “3 to the second power” or “3
squared.”
Ex: 43 is read “4 to the third power” or “4 cubed.”
25 is read “2 to the fifth power.”
Examples
** Ex. 1: Writing a Power
100,000 = 10 x10 x 10 x 10 x 10 = 105
There are 5 factors of 10 in 100,000
Try these on your own
a. 8 x 8 x 8 =
c. 20 x 20 =
e. 7 x 7 x 7 x 7 x 7 =
b. 6 x 6 x 6 x 6 =
d. 11 x 11 x 11 x 11 x 11 =
f. 15 x 15 x 15 =
** Ex. 2: Finding the value of a power
a. Find the value of five cubed
53 = 5 x 5 x 5
= 125
Write 5 as a factor three times
Multiply
b. Find the value of two to the sixth power
26 = 2 x 2 x 2 x 2 x 2 x 2
Write 2 as a factor six times
= 64
Multiply
Try these on your own
Write the products. Then find the value.
a. 112
b. 54
c. 3 to the sixth power
d. 6 squared
** Ex. 3: Powers in the Real-World Problems
Listen to the following story problem and write an equation
using powers and exponents and find the value.
Review/Ticket out the Door