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Combinations


On a calculator you are allowed to use only these five keys: 3, 4, x, -, =. You can press them as often as you like. Find a sequence of key presses that produces a given number in the display. For example, 3 x 4 - 3 - 3 = will produce 6. Find a way to produce each of the numbers from 1 to 10. Clear your calculator before each new sequence.

(Source: Adapted from Mathematics Teaching in the Middle School, Nov-Dec 1997)



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