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Topic: Decimal & Fractions Challenge
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Kaidy@aol.com

Posts: 7
Registered: 12/6/04
Decimal & Fractions Challenge
Posted: Aug 23, 1995 3:48 PM
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On 8/21/95 we posted a response to Ted Alper regarding the Numbers Challenge
Game and a variation of it using a decimal or a fraction in place of one of
the whole numbers on each four-number card. We got so many requests for
answers to our sample problems that we decided to post the following. These
are possible solutions to reach every target number from 1 to 24. There are
other ways of reaching each target number.

An example of Fractions Challenge: use 1,3,6 and 2/3 to reach 1 to 24:

2/3 x 6 - 3 / 1 = 1
2/3 x 6 + 1 - 3 = 2
(6+1) / (3-2/3) = 3
1 x 6 - 2/3 x 3 = 4
1 + 6 - 2/3 x 3 = 5
2/3 x 1 x (3+6) = 6
2/3 x 3 + 6 - 1 = 7
2/3 x 6 + 1 + 3 = 8
2/3 x 3 + 1 + 6 = 9
2/3 x 3 x (6-1) = 10
2/3 x 6 x 3 - 1 = 11
(1+3) / 2/3 + 6 = 12
2/3 x 6 x 3 + 1 = 13
2/3 x 3 x (1+6) = 14
( 1+3+6 ) / 2/3 = 15
2/3 x 6 x (3+1) = 16
(6-2/3) x 3 + 1 = 17
( 2/3x3+1 ) x 6 = 18
( 1+6-2/3 ) x 3 = 19
1 x 3 x (2/3+6) = 20
(2/3+6) x 3 + 1 = 21
1 x 6 x (3+2/3) = 22
(2/3+3) x 6 + 1 = 23
( 6/2/3-1 ) x 3 = 24

An example of Decimal Challenge: use 2,3,6 and .5 to reach 1 to 24:

(.5+3) x 2 - 6 = 1
2 + 3 - .5 x 6 = 2
.5 x 2 + 6 / 3 = 3
.5 x 2 + 6 - 3 = 4
(.5+2) x 6 / 3 = 5
2 x 6 - 3 / .5 = 6
(6+2) x .5 + 3 = 7
3 + 6 - .5 x 2 = 8
.5 x 2 x 3 + 6 = 9
.5 x 2 + 3 + 6 = 10
.5 x 6 x 3 + 2 = 11
.5 x 3 x (2+6) = 12
3 - 2 + 6 / .5 = 13
3 x 6 - 2 / .5 = 14
.5 x 6 x (3+2) = 15
(2+3) / .5 + 6 = 16
3 x 6 - 2 x .5 = 17
2 x 3 + 6 / .5 = 18
.5 x 2 + 3 x 6 = 19
(6+3) / .5 + 2 = 20
6 x 2 / .5 - 3 = 21
( 2+3+6 ) / .5 = 22
(.5+3) x 6 + 2 = 23
(6-2) x 3 / .5 = 24

Remember, the use of the dice to determine the target number makes it
possible to modify the game for four levels of ability: beginners use one
die to reach a target number of 1 to 6; two dice reach 1 to 12, 1 to 18, or 1
to 24.

We would appreciate receiving feedback from any of you out there with
suggestions about the appropriate grade level for Fractions Challenge and
Decimal Challenge. Just e-mail us or post to the list. Thanks!





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