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 worked examples of adding columns with multiple multi-digit 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