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avatar+480 

Can anyone solve this?

 Mar 13, 2019
 #2
avatar+5172 
+1

\(\text{What are we supposed to vary here in order to get the max and min values?}\\ \text{The order of the numbers? The parens, or lack of them?}\\ \text{This is a very unclear question}\)

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 Mar 14, 2019
 #3
avatar+480 
+1

Here are your limitations (what you need to do):

  • Use all three numbers
  • Use the + and divide only once in the expression and you have to use both of them in an expression

You can use as many parentheses as you want, and you can vary the order of the numbers.

dgfgrafgdfge111  Mar 14, 2019
edited by dgfgrafgdfge111  Mar 14, 2019
 #6
avatar+101751 
+3

 

This is a play with numbers exercise.  You can use a calculator.

The idea is that you try different combinations and see what happens (write down the question and answer each time, neatly underneath each other)

This will help teach you how numbers work together.

 

If we just hand you the answer then you will learn nothing.

 

Suggestion and hints:

1)  First put the numbers from smallest to largest.

 

2)  If you divide a number by something bigger than 1 then your number will get smaller.

            

3)  If you divide a number by something smaller than 1 then your number will get bigger.

              So if you want a big number which out of those 3 will you be dividing by? 

 

4) Division usually has more impact than addition.

 

Now thinking about what I have said and you can try your own combinations and tell us what you think the answer is.

Remember that this site is a calculator site.  wink

 

 

Please no one answer over the top of me.  I am trying to teach.

 

EDIT:

Oh dear I ahve missed out the absolute bit.   Another thing for you to play with.     

I also missed your comment about the 'book' answer. 

When you asked this question you would have been better off to tell us what answer you were trying to get and also tell us what the closest you had got so far was, with the working of course.   Then I would have formed a more appropriate answer for you because I would have understood better what you already knew and what you had tried already.

You can still tell us the closest you have got though.

 Mar 14, 2019
edited by Melody  Mar 14, 2019
edited by Melody  Mar 14, 2019
 #8
avatar+480 
0

Yes, yes I know. I have tried all of these problems before I post them. I just kept getting a different answer than the correct one, so I was trying to see if anyone else got it right so that I could learn from it. But thanks anyway!!! Does anyone know how to solve this problem?

dgfgrafgdfge111  Mar 14, 2019
edited by dgfgrafgdfge111  Mar 14, 2019
 #9
avatar+101751 
+1

Why don't you answer my question.

What is the closest combinations you have come up with?

 

You have posted a lot of questions.  11 questions in the last 50 minutes. Do you just want people to do all your homework for you?

I suppose it is obvious that you do.

Melody  Mar 14, 2019
 #10
avatar+480 
-1

I have worked on these problems since last week. I have now posted these problems. By the way, these aren't my homework problems. I'm practicing for a competition. I like your help, and actually I'm trying your method right now. Thanks!

dgfgrafgdfge111  Mar 14, 2019
edited by dgfgrafgdfge111  Mar 14, 2019
 #11
avatar+480 
+1

Here's what I tried (maybe I will figure it out with Melody's advice. Who knows?):

 

So, first let's order the numbers from least to greatest:

1/10 = 0.1

3 1/2=3.5

2 4/5=2.8

 

So, our order is 1/10, 2 4/5, 3 1/2.

 

First, I will try to make the biggest number that I can.

 

Since, as Melody said:

So, to find the biggest number, I will have something like this: (big thing + big thing)/(small thing) 

 

So we will have (2.8+3.5)/0.1 = 6.3/0.1 = 6for our biggest number.

 

Now I will try to make the smallest number that I can.

 

We can have the reciprocal of the biggest number we can get, which we just found to be 33. So, the smallest number is 1/63.

 

So, our answer is 63 - 1/63 = 62 62/63.

 

Wow, I just solved my own question. Thanks a lot for your help Melody. I wouldn't have solved it without your suggestions and hints (or your help).

 

Thanks a lot smiley.

 

Now let's do the next problem. wink

 Mar 14, 2019

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