You can add in any order and make a ten. Adding three numbers uses both.
Key idea
With three numbers, look for two that make 10, or a double. Add those first.
- Pairs that make 10: 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5.
- Doubles: 2 and 2, 3 and 3, 4 and 4 …
- If you find neither, add the first two, then the third.
Why it works
You can add in any order and group the numbers any way you like. The total stays the same.
Worked example: Find the ten
What is $7 + 2 + 3$?
- 7 and 3 make 10.
- $10 + 2 = 12$
Answer: 12
Worked example: Find a double
What is $5 + 4 + 5$?
- $5 + 5 = 10$.
- $10 + 4 = 14$
Answer: 14
For grown-ups: Roll three dice and add. Ask, “Which two did you add first? Why?”