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mathsmart
mathsmart, Tutor
Category: Homework
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Experience:  BA in Math. Over six years experience in teaching and tutoring math and standardized test prep.
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Using only four 3s and any order of operation (PEMDAS) only

Resolved Question:

Using only four 3s and any order of operation (PEMDAS) only 1 time use to get
answer 2, 4 and 7
show me the way to get each answer.
Submitted: 10 years ago.
Category: Homework
Expert:  mathsmart replied 10 years ago.
Hello,

Does this mean you can only use each operation once in all three equations?



Customer: replied 10 years ago.
Reply to mathsmart's Post: Yes
Customer: replied 10 years ago.
Yes
Expert:  nasacort replied 10 years ago.

3/3+3/3=2


3/3+3=4


3/3+3+3=7

Customer: replied 10 years ago.
Reply to nasacort's Post: I am sorry, my bad.
You cannot use + , 2 times.
1 times only of the operation.
Please do , again.
Thank you.
Customer: replied 10 years ago.
example, like this

3/3+3-3=1
3x3-3+3=9
Customer: replied 10 years ago.
How much longer should I wait for this
Expert:  nasacort replied 10 years ago.
I have given it more thought; but I have not been able to come up with the form you want. Is the 2nd one OK with only 3 threes? Is there a textbook involved with these puzzels?
Customer: replied 10 years ago.
Reply to nasacort's Post: Well, like I gave you example, you can use only one time of each operstion.

like 3+3x3-3=15

using only four 3 s

This is all I can explain to you.
Expert:  mathsmart replied 10 years ago.
Hi again,

I'm sorry too. I just don't see how to do it if you aren't allowed to repeat the operations.

I've got one that works for 4, but I for 2 and 7 I have only come up with the same ones nasacort has... the ones that repeat operations.

Here's one for 4:

3^(3-3) + 3 = 3^0 + 3 = 1 + 3 = 4

I will keep thinking about it and you can keep this question open for twenty-four hours. If you still don't have an answer you are satisfied with at that point, you can either let the question close without accepting any answers or you can re-list it.













mathsmart, Tutor
Category: Homework
Satisfied Customers: 909
Experience: BA in Math. Over six years experience in teaching and tutoring math and standardized test prep.
mathsmart and other Homework Specialists are ready to help you
Expert:  nasacort replied 10 years ago.
THIS ANSWER IS LOCKED!

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