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Exploring Expanded Notation with William the Elf

Meet William the Elf, your guide to understanding numbers in different forms! William shares how numbers can be expressed in standard and expanded notation, revealing their flexibility and magic. You’ll learn to practice using expanded notation, tackling both whole numbers and decimals. Engage with fun examples and activities, collaborating with a partner to sharpen your skills. Whether you’re writing numbers up to 10,000 or exploring decimals down to 0.0001, you’ll master this essential math concept while having fun. Enjoy a homework-free weekend!

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Exploring Expanded Notation with William the Elf

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  1. Warm Up 1.) 2(3 x 7) + 5 - 8 = 2.) 21 + 7 x 4 -3 + 2 = 3.) [3 x (2 + 4)] -3 + 17 =

  2. Hi! My name is William the Elf. Well, my mother calls me William, my friends call me Will, and Santa calls me Willie. I go by all three of these names, they are all OK with me!

  3. Just like I have many different names, numbers can be written in more than one way. Check out how we can write these numbers in different forms. Expanded Notation

  4. Now try a few on your own! Expanded Notation

  5. (Drag the numbers into place)

  6. Now try writing these expanded numbers in standard form. Expanded Notation Expanded 8000 + 500 + 40 + 3

  7. You can also use Expanded Notation to write decimals. Expanded Notation

  8. Now try a few examples with decimals! Expanded Notation

  9. Expanded Notation On a sheet of paper, write down 5 numbers in standard form. The maximum they can be is 10,000. Give that paper to a partner and have them write them in Expanded Form. Do not write down decimals.

  10. Expanded Notation Now on another sheet of paper, write down 5 decimals in standard form. The minimum they can be is 0.0001. Give that paper to a partner and have them write them in Expanded Form.

  11. Exit Slip Fill in the table on the exit slip. Make sure you turn it in by the end of class. Have a great weekend with no homework!

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