Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
cathyangs
Group Title
Using each of the digits 2, 3, 4, 6, 7, and 8 exactly once, construct two 3digit integers M and N so that MN is positive and is a small as possible. Compute MN.
The smallest MN I found was 39. Anyone?
 one year ago
 one year ago
cathyangs Group Title
Using each of the digits 2, 3, 4, 6, 7, and 8 exactly once, construct two 3digit integers M and N so that MN is positive and is a small as possible. Compute MN. The smallest MN I found was 39. Anyone?
 one year ago
 one year ago

This Question is Closed

liza2 Group TitleBest ResponseYou've already chosen the best response.0
39 was the lowest I found as well
 one year ago

cathyangs Group TitleBest ResponseYou've already chosen the best response.0
I bet there's a mathematical way to figure out the smallest MN without knowing M or N, or something. >:( I never know with this questions if there's something wrong with my answer.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
234243=9
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Or cant we repeat digit for both M and N
 one year ago

cathyangs Group TitleBest ResponseYou've already chosen the best response.0
Sorry, you can't repeat digits.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Well Yes it is 39
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
And there is a mathematical way to do it.
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Let the first number "M" be = abc =a*100+b*10+c And the other number "N"be =a'b'c' = a'*100+b'*100+c' Then, MN=(a*100+b*10+c)(a'*100+b'*10+c') =(aa')*100+(bb')*100+(cc')
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So, MN to be minimum...... aa' must be positive smallest number (FIRST priority) bb' must be smallest (Second priority) cc' must be smallest (Third priority)
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
So, aa'=1 when a=4 and b=3 bb'=6 when b=2 and b'=6 cc'=1 when c=6 and c'=7
 one year ago

sauravshakya Group TitleBest ResponseYou've already chosen the best response.0
Thus, Smallest MN=1*100+(6)*10+(1)=39
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.