Check-In: Question 5

  1. John and Roberto built 6 houses with blocks. Each one was made of exactly 76 blocks. John used the compact method to find out how many blocks they used in all.
    1. Why did John place a 3 above the problem? What does the 3 mean?
    2. How did John get the 5 in the tens place of the answer?
    3. How did John get the 4 in the hundreds place of the answer?
  2. Find the following products. Try to use the compact method or mental math. Estimate to make sure your answers are reasonable.
    1. 794 6 =
    2. 4 27 =
    3. 72 9 =
    1. Choose one problem from Question 6 and show or tell how you can use mental math to solve it.
    2. Show or tell how you estimated for Question 6F.

Multiplying Two-Digit Numbers

Mr. Todd owns the TIMSville Toy Store. He sells the same blocks that the students are using to build their cities. He sells packets of blocks with 42 blocks in each packet. There are 37 packets in the bin. Frank and Tanya figure out how many total blocks are in the bin.

  1. Frank thinks about the problem this way:
    1. The students call Frank's method the “combination” method. Why do you think they chose that name?
    2. Explain how Frank divided the problem into two smaller problems.
    3. What method do you think Frank used to solve 42 30?
    4. What does the 1 mean above the tens column in 42 7?
  2. Solve these problems using Frank's “combination” method.