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Understanding Whole Number Exponents and Powers of Ten

In this lesson, you'll learn how to express whole numbers using exponents to represent powers of ten. We will explore the concept of place value, breaking down numbers like 100 (10^2) and 104 (10^4 = 10,000). You'll understand how to write whole numbers such as 103 (1,000) and 106 (1,000,000) using these exponent techniques. Through hands-on activities, you'll match exponents with their corresponding whole numbers, enhancing your knowledge of exponential notation. Master the pattern and improve your math skills with this engaging lesson!

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Understanding Whole Number Exponents and Powers of Ten

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  1. How do you write 104 as a whole number?

  2. In this lesson you will learn to use whole number exponents to denote powers of tenby using your understanding of place value.

  3. Exponent 4 x 4 x 4 = 4 3 Four cubed Base = Power Base Exponent +

  4. 101 = 10 102 = 10 x 10 = 100 103 = 10 x 10 x 10 = 1,000 104 = 10 x 10 x 10 x 10 = 10,000 105 = 10 x 10 x 10 x 10 x 10 = 100,000

  5. How do you write 106as a whole number? 106 = 10 x 10 x 10 x 10 x 10 x 10 = 1,000,000 Whole Number

  6. Hundred thousands Ten thousands thousands hundreds Millions ones tens 1 0 0 0 0 0 0 , , 106 105 104 103 102 101 100

  7. How do you write 104 as a whole number? 104 = 10 x 10 x 10 x 10 = 10,000 Whole Number

  8. Hundred thousands Ten thousands thousands hundreds Millions ones tens 1 0 0 0 0 , , 106 105 104 103 102 101 100

  9. In this lesson you have learned to use whole number exponents to denote powersof ten by using your understanding of place value.

  10. How do you write 103 as a whole number? 103 = 10 x 10 x 10 = 1,000 Whole Number

  11. Hundred thousands Ten thousands thousands hundreds Millions ones tens 1 0 0 0 , , 106 105 104 103 102 101 100

  12. Exponent Match Up Write the following exponents on index cards: 1 100 101 102 103 104 105 106 107 108 109 2 Write 1 10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 and 1,000,000,000 on index cards. 3 • Place all the cards upside down and try to • match the exponents with the whole numbers.

  13. Pick the Exponent 1 • What exponent will produce the answer? 10? = 100 10? = 100,000 10? = 1,000 10? = 1 10? = 10,000 10? = 1,000,000 10? = 1,000,000,000 10? = 10 • With a partner fill in the missing exponents. 2 3 • Explain the pattern you can use to find the • missing exponent when the whole number is • given.

  14. How do you write 108as a whole number? How do you write 102as a whole number?

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