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Understanding Positive Integer Powers: Identifying, Reading, and Writing Exponents

Learn how to identify, read, and write positive integer powers of nonnegative integers, essential for math and problem-solving. Explore exponent notations, bases, and applications in daily life.

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Understanding Positive Integer Powers: Identifying, Reading, and Writing Exponents

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  1. Today we will understand how to identify, read, and write positive integer powers of nonnegativeintegers. Identify=to point out Positive integer=whole numbers greater than zero nonnegative numbers=positive numbers

  2. 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.

  3. Understanding Exponents Base Exponent 4 3

  4. 4 Exponential Form 3 3 1 3 3 Expanded Form 3 x 3 x 3 x 3 2 4 3 3 Multiply 3x3x3x3 = 81 Standard Form 81

  5. 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?

  6. Definition of Exponent • An exponent tells how many times a number is multiplied by itself. Exponent 3 4 Base

  7. What an Exponent Represents • An exponent tells how many times a number is multiplied by itself. 4 = 3 x 3 x 3 x 3 3

  8. How to read an Exponent • This exponent is read three to the fourth power. Exponent 3 4 Base

  9. How to read an Exponent • This exponent is read three to the 2nd power or three squared. Exponent 3 2 Base

  10. How to read an Exponent • This exponent is read three to the 3rd power or three cubed. Exponent 3 3 Base

  11. Read These Exponents 3 2 6 7 2 3 5 4

  12. What is the Exponent? 3 2 x 2 x 2 = 2

  13. What is the Exponent? 2 3 x 3 = 3

  14. What is the Exponent? 4 5 x 5 x 5 x 5 = 5

  15. What is the Base and the Exponent? 4 8 x 8 x 8 x 8 = 8

  16. What is the Base and the Exponent? 5 7 x 7 x 7 x 7 x 7 = 7

  17. What is the Base and the Exponent? 9 x 9 = 9 2

  18. So What did we learn? An exponent tells how many times a number is multiplied by itself. What is an exponent? 2 How do you write 5 squared? 5 How do you write 3 cubed? 3 3

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