Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

# Make numbers 1-50 with 1997. HELP.?

You are to use 1997 to make the numbers 1 through 50, inclusive. You can use any math, any order, you must use exactly one 1, two 9's and one 7 to generate each number. For example : 13 = 9+7-1x the square root of 9.

Relevance

There would not be any point in my finding these for you -

the purpose of the assignment is for you to do the work.

Here are some hints and suggestions.

Most of them can be found without too much trouble.

The really hard (maybe impossible?) ones are: 39, 44, and 50.

All the others can be done.

These can be done without using √9 = 3.

1-12, 14-20, 24-27, 45, 47, 49

(some require using exponentiation when √9 is not used).

Here's how to get started:

Instead of looking for 1, 2, 3, 4, ... etc in order,

just start writing down random formulas and see what you get.

That should get you at least half way to all that you can find.

When you run out of ideas, *then* start a more careful

search for the missing ones.

9 + 9 + 7 + 1 = 26

9 * (9 - 7) + 1 = 19

and so on like that.

Also note that if you use 7, 9, 9 and still have 1 to use,

that gives you 3 numbers for the price of one.

For example:

7 + 9/9 = 8

subtract 1 and you get 7

times 1 and get 8

add 1 and you get 9.

7 + 9/9 - 1 = 7

7 + 9/9 * 1 = 8

7 + 9/9 + 1 = 9

That little trick can build up your list pretty quickly.

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