Unknowns

Mrs. Dewey wrote the equation below on the board. The n is called an unknown. She said one thing that mathematicians do is to look for the number to replace n that will make the number sentence true.

Romesh studied the equation: 3072 = 3000 + n + 2

  1. Replace the letter with a number to make each equation true.
    1. 892 = 800 + n + 2
    2. 892 = 700 + n + 2
    3. 783 = n + 80 + 3
    4. 783 = 700 + 70 + n
    5. 3000 + 10 + 7 = n
    6. 3000 + 10 + 7 = 3000 − n
    7. 982 + 8 + 10 = 982 + 10 + 10 − n
  2. Explain how you know your answer to Question 8D is true.
  3. Ming decided that n equals 6 in the following number sentence:
  4. 1000 = 324 + 600 + 70 + n

    He used the following number line to explain his thinking. Do you agree with Ming? Why or why not?