Number Sentences

  1. Professor Peabody looked for shorter ways to represent the moves of the base-ten hoppers. Study the number line below.
    1. The professor wrote the number sentence below to show how the hopper moved:
      233 = 100 + 100 + 10 + 10 + 10 + 1 + 1 + 1
      Explain how each number in the number sentence shows how the hopper moved.
    2. The professor thought of a shorter way to write a number sentence:
      233 = 200 + 30 + 3
      Explain how this number sentence shows how the hopper moved.

      Professor Peabody decided it would be more efficient sometimes to show the hops using multiples of hundreds, tens, and ones like this:
  2. Study the number line and number sentences below. Do you agree that the number sentences show how the hopper moved? Why or why not?
    1. 4  100 + 2  10 + 3  1 = 423
    2. 400 + 20 + 3 = 423