my math world

Monday 26 November 2012

Zero and One in Division (Example problems)


Example problems

1. Do the divisions but cross out all the problems that are impossible.  You can think about dividing bananas between certain number of people to help you.
4 ÷ 1 =
4 ÷ 0 =
0 ÷ 1 =
0 ÷ 4 =
14 ÷ 14 =
14 ÷ 0 =
0 ÷ 14 =
14 ÷ 1 =
0 ÷ 5 =
10 ÷ 10 =
10 ÷ 0 =
10 ÷ 1 =


 2.  Remember how zero and one work in multiplication?
Multiplication is REPEATED ADDITION:
7 × 6 = 6 + 6 + 6 + 6 + 6 + 6 + 6 = 42
6 added seven times
Therefore,
6 × 1 =1 + 1 + 1 + 1 + 1 + 1 = 6         1 × 4 = 4 × 1 =1 + 1 + 1 + 1 = 4
1 added six times1 added four times
 
5 × 0 = 0 + 0 + 0 + 0 + 0 = 00 × 3 = 3 × 0 = 0 + 0 + 0 = 0
0 added five times0 added three times


3.  For each division, make a multiplication sentence if possible.  Some divisions are not possible!
6 ÷ 1 =
  __ ÷ __ =
42 ÷ 7 =
  __ ÷ __ =
0 ÷ 7 =
  __ ÷ __ =
81 ÷ 9 =
  __ ÷ __ =
0 ÷ 0 =
  __ ÷ __ =
6 ÷ 6 =
  __ ÷ __ =

4.  For each multiplication, make a division sentence if possible.  Some divisions are not possible!
6 × 1 = __
__ ÷ __ = __
0 × 8 = __
__ ÷ __ = __
6 × 8 = __
__ ÷ __ = __
 
10 × 11 = __
__ ÷ __ = __
1 × 1 = __
__ ÷ __ = __
9 × 0 = __
__ ÷ __ = __


5.  Write a division OR multiplication sentence for each word problem.
a)  Grandma's chickens laid one day 60 eggs.  She divided them into 12-egg cartons.
How many cartons did she get?
b)  Each mini-van taxi can hold 7
passengers and there are 6 taxis
waiting on the airport.  How many
passengers can they take?
i)  Six children earned 36 dollars by doing yard work together.  They divide the money equally.  How much does each one get?j).  Kathy needs to read a 27-page booklet.  She plans to finish it in three days.  If she reads the same amount each day, how many pages will she read each day?


What happens if she instead plans to finish it within a week? 


6.  Fill the multiplication facts from the table of 7 and a corresponding division fact for each. Do the same for table of 6.
1 × 7 = __
2 × 7 = __
3 × 7 = __
4 × 7 = __
5 × 7 = __
6 × 7 = __
     7 ÷ 7 = __
14 ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __
7 × 7 = __
8 × 7 = __
9 × 7 = __
10 × 7 = __
11 × 7 = __
12 × 7 = __
     __ ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __
__ ÷ 7 = __

No comments:

Post a Comment