Question

HAPPY NUMBERS--- 1. add the squares of the digits of a whole number to produce a new number.
2. if you repeat this process and end up with the number 1, you have found the happy number. (e.g. 32 is a happy number) 32- 9+4=13 - 1+9= 10- 1 + 0 = 1 - is an arrow that is an example. Find the happy numbers greater than 40....

Answer 1

confused

Answer 2

happy numbers

Answer 3

So say we have the number 11 (this is a whole number by the way)
\[1^2+1^2=1+1=2\]
So since we didn't get 1, 11 is not a happy number
But they say 32 is
\[3^2+2^2=9+4=13\]
\[1^2+3^2=1+9=10\]
\[1^2+0^2=1+0=1\]
So yes indeed 32 is happy! :)
-----
So we want to find a happy number greater than 40...
lets think for a sec (or let me think for a second)

Answer 4

This is a good question...I think I need help...
Let me see if I can get some
@imranmeah91 @bahrom7893 @jamesj @zarkon @pre-algebra

Answer 5

ok

Answer 6

it doesn't say from a happy number greater than 40
it says find all happy numbers greater than 40
that scares me a bit

Answer 7

find*

Answer 8

lol no need to include my name if myin needs help hahah

Answer 9

Let's try 42.. the answer to everything:
4^2+2^2=16+4=20
nah doesn't work

Answer 10

wait all happy numbers? uh oh... other numbers are getting depressed..

Answer 11

they just use + and = in this

Answer 12

So if 32 is happy, then 320,3200,32000,320000, and so on is...

Answer 13

@Zed

Answer 14

Bahrom also mentioned 1,10,100,1000,10000,10000, and so on is...

Answer 15

i am sorry it says find the first two happy numbers greater than 40

Answer 16

Oh thank god...

Answer 17

LOL that's like *facepalm*....

Answer 18

41:
4^2+1^2=16+1=17
1^2+7^2=1+49=50
5^2=25
4+25=29
4+81=85
64+25=89
64+81=.. do i keep going like this?

Answer 19

41
\[4^2+1^2=16+1=17\]
\[1^2+7^2=1+49=50\]
\[5^2+0^2=25\]
\[2^2+5^2=29\]
\[2^2+9^2=85\]
\[8^2+5^2=89\]
\[8^2+9^2=145\]
\[1^2+4^2+5^2=42\]
\[4^2+2^2=20\]
\[2^2+0^2=4 \neq 1\]
So 41 is not happy

Answer 20

lol myin im impressed by your patience

Answer 21

and 42 is not happy looking at this also

Answer 22

yea i got that

Answer 23

Writing a computer program for this would help greatly, although it would be cheating :P Checking for every number is gonna be a daunting task

Answer 24

43
\[4^2+3^2=25\]
we showed this was not happy when we were showing that 41 wasn't

Answer 25

44
\[4^2+4^2=32\]
32 is happy so 44 is

Answer 26

45=16+25=41 unhappy

Answer 27

46
\[4^2+6^2=16+36=52\]
\[5^2+2^2=29\]
We already showed 29 is not happy when we looked at 41 so 46 is not happy

Answer 28

did u get the file

Answer 29

yes we already found one memelee

Answer 30

44

Answer 31

Now we are looking at 47

Answer 32

i know thank you i thought if you could see what i am trying to help my child with it would be easier all thiese r crazy

Answer 33

16+49=65
36+25=61
36+1=37
9+49=68
36+64=100
yay HAPPY!

Answer 34

yea we are happy now! :)

Answer 35

check my arithmetic btw

Answer 36

Thank you guys for coming and helping memelee and me. I was freakin' out for a sec about finding all happy numbers greater than 40.

Answer 37

no memelee 47
he just checked 47 and it was happy

Answer 38

o lol i am so confused you all r the best

Answer 39

if anyone would like to look at this attachment any help is welcomed so 44 and 47 R HAPPY

Answer 40

44, 49

Answer 41

44,47

Answer 42

\[\cancel{47}\]

Answer 43

so I need to check bahrom's arithmetic lol

Answer 44

9+49=58 not 68

Answer 45

ok can you all see my attachment i need help with alot of it and i dont know if i sent it lol;

Answer 46

just so you know...according to my new 'happy' program

103456789298765430297364521

is happy ;)

Answer 47

thank you i still dont know how to show this to my child and can you see my attachment?

Answer 48

1034567892987654302973645212657823642782587562742523534535245306 is happy...these are fun ;)

Answer 49

which one are you working on?

Answer 50

all

Answer 51

i am trying to help my child but if i dont know it how can i show her

Answer 52

it looks like you have answers to a couple of them

Answer 53

by the way...
1404720637424776171015893285076586022511883944493227893407007626053358017096629130428838656664914644591216791171720794830512795459486045059833726538116396895070853996153616905628590023123719241557756032598746616630754153537124256386206122191082028591423913406779794362892355305148462788276820994110962089346622067555874958960623925865096155643308442373668252970647464664574958103406799756720487147207232270715918418384253720418235996188915183594994097160164143780453560562915252718288547951629007629788316036656675693169670540801230860237114576538746238796835257460586564933573664427518014073628649955202214934233356041506519165812

is happy :)

Answer 54

yes if they are correct i do believe # 29 is roman catholic

Answer 55

wow thats alot of happy numbers

Answer 56

looks right

Answer 57

I wrote a program on my TI-Nspire CX CAS

Answer 58

no clue what that is

Answer 59

http://www.schoolmart.com/images/products/detail/DAD004.jpg

Answer 60

which problem are you working on now...and don't say all of them.

Answer 61

24

Answer 62

vertical angles are congruent.

Answer 63

is x 150 also

Answer 64

yes it is 150

Answer 65

k so 150 so that is exackly the same

Answer 66

#25 B

Answer 67

no

Answer 68

c cause of the top is the same

Answer 69

no

Answer 70

has to be A

Answer 71

yes

Answer 72

confused cause the shape for the top looks like C

Answer 73

but the sides are triangles

Answer 74

ok

Answer 75

and the base of A is a rectangle

Answer 76

got it

Answer 77

#30 is D

Answer 78

yes

Answer 79

# 27, 28, 31, and 32

Answer 80

# 31 is 15?

Answer 81

16

Answer 82

can u show me

Answer 83

solve \[\frac{3}{2}=\frac{w+8}{w}\] for w

Answer 84

w is 2

Answer 85

w=16

Answer 86

3/2 = w+8 over 2 = 16

Answer 87

\[\frac{3}{2}=\frac{w+8}{w}\]
\[\Rightarrow 3w=2(w+8)\]
\[\Rightarrow 3w=2w+16\]
\[\Rightarrow w=16\]

Answer 88

k wrote that down so i can show my child thank you