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## 'Playing Connect Three' printed from http://nrich.maths.org/

**In the first game:**
Suppose you rolled a $6$ and a $2$.

You can make totals of $8$ or $4$ or $^-4$:

$6 + 2 (\text{or } 2 + 6) = 8$

$6 - 2 = 4$

$2 - 6 = ^-4$

**In the second game:**
Suppose you rolled a $3$ and a $^-1$.

You can make totals of $2$ or $4$ or $^-4$:

$3 + (^-1) = 2$

$3 - (^-1) = 4$

$^-1 - 3 = ^-4$