Dividing with Base Ten Blocks

1. Dividing with Base Ten Blocks

2. Ex # 123  3Finding how many subsets – repeated subtraction • 23 is 2 longs and 3 units. • There are no 3’s in 2 longs, so exchange the 2 longs for 20 units.

3. Ex # 123  3Finding how many subsets – repeated subtraction • I now have 23 units.

4. Ex # 123  3Finding how many subsets – repeated subtraction • Make groups of 3 units. • I have 7 groups of 3 units with 2 units left over. • 23  3 = 7 r 2

5. Ex # 223  3Finding how many in each subset – sharing • 23 is 2 longs and 3 units. • I want to share the pieces equally among 3 groups. • I can’t share the 2 longs with 3 groups, so I exchange the 2 longs for 20 units.

6. Ex # 223  3Finding how many in each subset – sharing • I now have 23 units. • Give each group 1 unit.

7. Ex # 223  3Finding how many in each subset – sharing • Give each group a 2nd unit.

8. Ex # 223  3Finding how many in each subset – sharing • Give each group a 3rd unit.

9. Ex # 223  3Finding how many in each subset – sharing • Continue this until all the units are given out. • Each group has 7 units and there are 2 units left over. • 23  3 = 7 r 2

10. Ex # 3221  3Finding how many subsets – repeated subtraction • 221 is 2 flats, 2 longs, and 1 unit. • There are no 3’s in 2 flats, so exchange the 2 flats for 20 longs.

11. Ex # 3221  3Finding how many subsets – repeated subtraction • I now have 22 longs and 1 unit.

12. Ex # 3221  3Finding how many subsets – repeated subtraction • Make groups of 3 longs. • I have 7 groups of 3 longs and 1 long and 1 unit remaining. • Exchange the 1 remaining long for 10 units.

13. Ex # 3221  3Finding how many subsets – repeated subtraction • I now have 7 groups of 3 longs and 11 units.

14. Ex # 3221  3Finding how many subsets – repeated subtraction • Make groups of 3 units. • I now have 7 groups of 3 longs and 3 groups of 3 units and 2 units remaining. • 221  3 = 73 r 2

15. Ex # 4221  3Finding how many in each subset – sharing • 221 is 2 flats, 2 longs, and 1 unit. • I want to share the pieces equally among 3 groups. • I can’t share the 2 flats with 3 groups, so I exchange the 2 flats for 20 longs.

16. Ex # 4221  3Finding how many in each subset – sharing • I now have 22 longs and 1 unit.

17. Ex # 4221  3Finding how many in each subset – sharing • Give each group an equal number of longs. • Each group has 7 longs and there is 1 long and 1 unit remaining.

18. Ex # 4221  3Finding how many in each subset – sharing • Exchange the 1 remaining long for 10 units. • I now have 11 units remaining to be distributed.

19. Ex # 4221  3Finding how many in each subset – sharing • Give each group an equal number of units. • Now each group has 7 longs and 3 units and there are 2 units remaining. • 221  3 = 73 r 2