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- What does the total number of rocks collected in one column represent?
- What do the numbers to the right of the columns mean?
- How does Grace figure out how many rocks are left in the bag after each try?
- When does Grace decide she is done with the problem?
- What does it mean to say that there are four rocks left over? Why doesn't Grace divide them into the columns too?
When Grace can no longer divide the remaining rocks evenly into the cups, she has carried the division as far is it will go (since she cannot cut rocks into pieces). The number of rocks that are left in the bag is called the remainder.
Remainders can be written in several ways. A common way to express a remainder is with the letter 'R.' For example, in Grace's problem, the quotient and remainder can be written the following ways:
132 R4 or 132 r4
- Nila has a bag of 837 shells to share equally among her five classmates. Help her use Grace's Column Method to figure out how many shells each person gets.
- Draw and label the columns Nila needs to solve this problem.
- “Fill” the columns equally.
- How many shells did each classmate get?
- How many shells are left over?
- What should Nila do with the leftover shells?
Use the Column Method to solve the problems on the Dividing into Columns pages in the Student Activity Book.