1. One type of airplane can carry up to 376 passengers. How many people can 4 flights of the airplane carry?

Nicholas did this problem using the compact method.

    1. Why did Nicholas place a 2 above the tens column? What does this 2 mean?
    2. How did Nicholas get the 0 in the tens column of the answer?
    3. Why did Nicholas place a 3 above the hundreds column? What does this 3 mean?
    4. How did Nicholas get the 5 in the hundreds column of the answer?
    5. How did Nicholas get the 1 in the thousands column of the answer?
  1. Nicholas looked back at his answer and said, “4 300 is 1200 and 4 400 is 1600. 76 is close to 100, so I know my answer will be more than 1200 and closer to 1600.” Is Nicholas's answer reasonable? Why or why not?

Do the following problems using the compact method. Estimate each product to make sure your answer is reasonable.

  1. Explain your estimation strategy for Question 26. Is your answer reasonable? Why or why not?
  2. Maya multiplied 2046 6 and got 1476. She looked at her answer and said, “That can't be right. My answer is smaller than one of the numbers I was multiplying!” Here is Maya's work.
    1. What did Maya do wrong?
    2. What is the correct answer?