Time for MATH MINUTE! (provide your favorite theme music
here).
Get out
your paper & pencil, because I have a new puzzle for you!!
Responses/hints to PUZZLE #85 Building numbers
Part A. How
many whole numbers can you build using only the numbers 1, 2, 3, and using only
the operations of addition, subtraction, multiplication, and division, if you
have to use ALL 3 and ONLY the 3 numbers 1, 2, 3 in each calculation?
I got the 9
numbers: 1, . . . , 9.
If
you got some others, let me know!
If
you are still working on this one do not look below at the answers.
Part B. Same as
above, but using ALL 4 and ONLY all 4 numbers 1, 2, 3, 4.
I got the 30
numbers: 1, . . . , 22, 24, . . . , 28, 30, 32, 36 using calculations like the
above.
I
will try to write them all down if there is any interest in it. Let me know.
Answers to Part A (if you have different calculations, send them
to me).
1 = (1+2)/3 = (3-1)/2 = (3-2)/1 = (3-2)x1
2 = 1-2+3 = (1+3)/2
3 = 3/(2-1)
4 = -1+2+3
5 = (1x2)+3 = (1x3)+2 = (2+3)x1 = (2x3)/1
6 = 1+2+3 = 1x2x3 = (2x3)/1
7 = 1+(2x3)
8 = (1+3)x2
9 = (1+2)x3
Have
fun!
Send
your comments, ideas and solutions before Monday to the email below, and
in the subject line be sure to put
MM in the subject line
Visit
us here online at:
http://www2.potsdam.edu/parksjm/MM1.1.htm
to see the results every Friday.
See you next time on MATH MINUTE! (theme music fades out here).