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 Exponents Materials: 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 powerThere are 3 factors. = 6  6  6 baseexponent Powers and Exponents

Writing a Power EXAMPLE 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 “5 ³” ?

Powers and Exponents Find the value of five cubed. = 125 Write 5 as a factor three times. Multiply. Finding the Value of a Power EXAMPLE 2 = 5  5  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. 11 ²

Powers of 2 Powers of 4Powers of =4 4 =10 4 = 2 3 = 22=22= 21=21= 20=20=

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  = =64 You 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.