This document provides tips for efficiently adding long columns of numbers. It recommends looking for combinations of 10 when adding and adding those combinations first. When a number repeats, it advises using multiplication rather than repeatedly adding the number. The document demonstrates these techniques through examples of adding columns of numbers.

1. Shortcuts in Addition
By Monica Yuskaitis

2. Adding Long Columns
• Since addition is Commutative it
doesn’t matter which numbers you
add first.
4 + 2 + 5 + 1 = 12
1 + 4 + 5 + 2 = 12

3. Adding Long Columns
• Begin by looking for combinations
of ten.
34
57
83
+ 26

4. Adding Long Columns
• Add up your ten combinations
first. 2
34
57
83
+ 26
0

5. Adding Long Columns
• Add up your ten combinations
again. 2
34
57
83
+ 26
200

6. Review Combinations of Ten
•1 + 9 = 10 5+ 5 = 10
•8 + 2 = 10 7+ 3 = 10
•2 + 8 = 10 6+ 4 = 10
•4 + 6 = 10 3+ 7 = 10
•9 + 1 =10

7. Adding Long Columns
• When a number keeps repeating
use multiplication. 2
32
36
88
26
+
36
8

8. Adding Long Columns
• When a number keeps repeating
use multiplication. 2
32
36
88
26
+ 36
218