How do you get 23 25 27 and 29 in 4 4s no more no less

- Trisaba

How do you get 23 25 27 and 29 in 4 4s no more no less

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- Trisaba

im new

- Trisaba

i will give medals

- Trisaba

@dan815

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## More answers

- dan815

what do yo mean in 4 4s?

- Trisaba

four fours like the way to get 16 is \[4+4+4+4\]

- dan815

ah okay so divide each of those numbers by 5

- dan815

by 4*

- dan815

23/4
you can rewrite 23 as 20+3
(20+3)/4
=20/4 + 3/4 = 5+3/4
so
each of the part will be 5 and 3/4th

- Trisaba

?

- dan815

it doesnt make sense?

- dan815

okay for example you want to split 16 into 4 4s right

- Trisaba

yeah

- dan815

|dw:1439936653692:dw|

- dan815

16/4+16/4+16/4+16/4=16 does this make sense

- dan815

you added a quarter of 16s 4 times so it will be 16

- Trisaba

oh ok

- dan815

1/4 of 16 was added 4 times
and u simplied that 1/4th of 16 to 4
since 16/4=4

- dan815

now we do the same thing with each number and write it in simplified form

- Trisaba

i can only use the number 4

- dan815

|dw:1439936765478:dw|

- dan815

wait what lol

- dan815

you can only use the number 4?

- Trisaba

i need to find 23 by using only 4 4s and operations

- dan815

ahh lol now the question is clear okay

- dan815

|dw:1439937238061:dw|

- Trisaba

what is !

- dan815

that is sign for factorial 4! = 4*3*2*1

- Trisaba

then factorial isn't ok

- dan815

okay did they give u a list of operators that are okay to use

- Trisaba

my computer is glitching sorry they gave me \[\div \times -+\sqrt{4} 4^{2}\] that is it

- dan815

kk

- Trisaba

4 squared and sqrt of 4 count as one 4

- dan815

yea

- Trisaba

what do you have in mind i think it should start with \[4^{2}\]

- dan815

can u see how to hit 7 with 3 4s

- dan815

thats what im trying to do still

- Trisaba

no that is what i tried

- dan815

i think we should make a list this is looking more difficult than i thought

- dan815

lets make a list of all the numbers we can get with
1 4
then with 2 4s and so on

- Trisaba

me two

- Trisaba

one 4 is 2, 4, and 16

- dan815

we can stack operators ther actually a lore more

- dan815

(4^2)^2

- Trisaba

cant do that

- dan815

i thought squaring operation is allowed

- Trisaba

yeah bot not stacked

- Trisaba

\[4^{2}\] is the only thing we can do with it no altering in any way

- dan815

what about embeded square is that allowed

- dan815

|dw:1439938669932:dw|

- Trisaba

and cant use two fours to make 44 'cause then \[(44+\sqrt{4})\div \sqrt{4}\] would be the answer and no

- dan815

ok

- dan815

lets do 2,4s then

- Trisaba

two 4 is 0, 2, 4, 6, 12, 14, 18, 20

- Trisaba

oh and 1

- Trisaba

and 8 that is it

- dan815

and 32 and 64 too

- Trisaba

how 64

- Trisaba

i got 32

- dan815

4^2*4

- Trisaba

oh

- Trisaba

16

- dan815

is 4^-2 allower

- Trisaba

no just \[4^{2}\] no altering in any way

- Trisaba

no way we can make seven in three 4s

- Trisaba

lets put ideas together

- dan815

sqrt(4) is plus or minus 2

- dan815

im giving up -.-

- Trisaba

we use it as the positive root

- Trisaba

:(

- dan815

thehyh arent giving me enough freedom wiht operations..

- dan815

what about .4

- Trisaba

no

- Trisaba

me and my classmates think they should link

- dan815

look even this one lets u use 44s and factorials
https://www.mathsisfun.com/puzzles/four-fours-solution.html

- Trisaba

i know but my teacher wont let me

- dan815

what country are you inĂ‰

- Trisaba

USA

- dan815

mhm

- Trisaba

MHM?

- dan815

:)

- dan815

i wanna see how ur teacher did it

- Trisaba

he didnt tell us do tommorow

- Trisaba

due typo

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