Expressions and Equations Powers and Exponents Materials: pencil, journal, glue, highlighter CCSS6.EE.1 Write and evaluate numerical expressions involving whole number exponents. Created by Mary Vogt Heritage Middle School
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Expressions and Equations
Powers and Exponents
Materials: pencil, journal, glue, highlighter
CCSS6.EE.1 Write and evaluate numerical expressions involving
whole number exponents.
Created by Mary Vogt
Heritage Middle School
Expressions and Equations
Powers and ExponentsMaterials: pencil, journal
CCSS6.EE.1 Write and evaluate numerical expressions involving whole number
exponents.
You will get a new assigned seat today.
Created by Mary Vogt
Heritage Middle School
Light-year A light-year is the distance light travels in one year. Astronomers estimate that the distance across the Virgo Spiral Galaxy is about 100,000 light -years. You can write 100,000 as a product.
In the Real World
Powers and Exponents
Light-year A light-year is the distance light travels in one year. Astronomers estimate that the distance across the Virgo Spiral Galaxy is about 100,000 light -years. You can write 100,000 as a product.
In the Real World
Powers and Exponents
When whole numbers other than zero are multiplied together, each number is a factor of the product. To write a product that has a repeated factor, you can use a power.
100,000 = 10 10 10 10 10
This product has five factors of 10.
NOTE BOOK
Powers, Bases, and Exponents
The base of the power is the repeated factor and the exponent is the number of times the factor is repeated.
6 3
power There are 3 factors.
= 6 6 6
base exponent
Powers and Exponents
Powers and Exponents
Writing a PowerEXAMPLE 1
Use the distance across the Virgo Spiral Galaxy, 100,000 light-years. Write the distance as a power.
10 10 10 10 10 = 10 5 There are 5 factors.
ANSWER
Write the product as a power.
8 x 8 x 8
8ᶟ
Reading Powers
When powers have an exponent of 2, the base is “squared.”
3 2 is read “3 to the second power,” or “3 squared.”
4 3 is read “4 to the third power,” or “4 cubed.”
2 5 is read “2 to the fifth power.”
When powers have an exponent of 3, the base is “cubed.”
Powers and Exponents
How do you read “5³” ?
Powers and Exponents
5 3
Find the value of five cubed.
= 125
Write 5 as a factor three times.
Multiply.
Finding the Value of a PowerEXAMPLE 2
= 5 5 5
2 6
Find the value of two to the sixth power.
= 64
Write 2 as a factor six times.
Multiply.
= 2 2 2 2 2 2
Find the power as a product. Then find the value.11²
Powers of 2 Powers of 4 Powers of 10
24 = 44 = 104 =
23 =
22=
21=
20=
WHAT IS 20? WHAT IS 40? WHAT IS 100?
Powers and Exponents
Telephone Calls You need to contact members of your softball league. You call 4 members in the morning. Those 4 people each call 4 more people in the afternoon. That night, those additional people each call 4 others. How many people are called that night?
Powers in Real-World Problems
SOLUTION
EXAMPLE 3
4 4 4 = 4 3 = 64
You call 4 people.
They each call 4 people.
They each call 4 people.
That night, 64 people are called.ANSWER
Complete the practice in your handout. It is due Wednesday.
Also, please return your Newsletter signed by a parent by Wednesday.
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