Question

the number 1234/9999 can be written in decimal form. What is the 29th decimal place? (please explain)

Answer 1

are you allowed to use a calculator?

Answer 2

yup

Answer 3

okay show me what you get when dividing 1234 by 9999?

Answer 4

0.123412341

Answer 5

what comment would you give about this number? can you notice anything?

Answer 6

yup the 1234 is being repeated

Answer 7

exactly. so it's repeating itself after each four digits.

Answer 8

now you can just write all the number till you reach the 29th decimal place, which would not be difficult in this case.

Answer 9

but there is another way, that's similar to what we did with the hours question.

Answer 10

so what way do you prefer to use?

Answer 11

both are easy and straight forward.

Answer 12

do we times the 1234 by 29?

Answer 13

no no

Answer 14

4 times 29? :S

Answer 15

since its repeating itself after each 4 digits, and you're looking for the 29th decimal place.
divide 29 by 4 ( tell me the integer quotient and the reminder)

Answer 16

I mean when you divide 29 between 4 people, how much will each one get and what's the left over?

Answer 17

each gets 7 and left over would be 25 :s ?

Answer 18

are you sure about your left over? all you have is 29 :)

Answer 19

i put 29 devided by 3 and i got 7.25 :S

Answer 20

okay you mean by 4, it would be easier if you didn't use a calculator. but this is fine.
your reminder is 0.25*4=?

Answer 21

1

Answer 22

no no no srry

Answer 23

why? it's right.

Answer 24

oh .. ok :D

Answer 25

now we have 29/4= 7 and reminder 1..
that says that the 4 decimal digits will be repeated "7 times" and it will be back to the "1st digit" in the 29th digit.
so what is the 29th decimal digit?

Answer 26

1 ?

Answer 27

yeah that's right. what if it's asking about the 30th decimal digit?

Answer 28

2 ?

Answer 29

exactly.. what if it's asking about the 61st decimal digit? take your time!

Answer 30

4?

Answer 31

why 4?

Answer 32

cz i counted till i got to 61 and i landed on 4 :S is it wrong?

Answer 33

the point is at the reminder of 61/4?

Answer 34

if you can't directly figure out the reminder, you just multiply the decimal part by 4 to get the reminder.

Answer 35

61/4=15.25, then the reminder is?

Answer 36

1?

Answer 37

yeah, and so the 61st decimal digit is?

Answer 38

1 ?

Answer 39

that's right. :)
I suck at teaching, don't I? :(

Answer 40

lool are u kidding?!?! ur better than my teacher ! xD! i actually thought u were a teacher for a minute :S
are u in university ?

Answer 41

lol I don't think you're serious.. yeah in university.

Answer 42

no for real ! u would be a great math teacher :D what are u studying ?

Answer 43

math :)

Answer 44

lol there u go then :) that explains everything then xD!

Answer 45

well actually I just transferred to mathematics this semester, I was studying electrical engineering.

Answer 46

nice ... most Arabs study engineering anyway :P

Answer 47

they do?

Answer 48

yea :S ! holy man u should come see our universities here -.-! u ask an arab wat r u studying they be like ENGINEERING! and im like yea i guessed :P

Answer 49

OH I didn't know that at all.

Answer 50

lol oh well its for a good cause any way cz most canadians dont like engineering so we tend to balance them out :P

Answer 51

haha.. you see you're good at math!

Answer 52

i am? how? :S

Answer 53

you understand the balance principle :P

Answer 54

lool well i was just assuming :P

Answer 55

have you ever been to Palestine?

Answer 56

nope i was born in syria

Answer 57

I see.. I hope one day we all can go there!

Answer 58

im going though next year inshallah :)

Answer 59

you can, but I can't :(.. you have a Canadian citizenship right?

Answer 60

yup

Answer 61

but y do u want to go so bad though? lol r u from palestine too ?

Answer 62

no.. I am Saudi :)

Answer 63

thats a pleasure :)

Answer 64

i have a question :D

Answer 65

the pleasure is all mine.. sure ask away.

Answer 66

so i have here a square thats perimeter is 20 cm and its inside a bigger square thats perimeter is 28 cm how do i find the area of the space between them :S

Answer 67

here let me draw it :S

Answer 68

haha.. the area between them is equal to the area of the big square minus the area of the smal one.

Answer 69

can you find the area of each square?

Answer 70

i have to find the area of the shaded part here i sent it

Answer 71

excuse my silly drawing :$

Answer 72

lol

Answer 73

are they both squares?

Answer 74

yes :S

Answer 75

okay.. what does the area of a square equal to?

Answer 76

u mean L x W ?

Answer 77

it's a square right?

Answer 78

so the length is equal to the width, tight?

Answer 79

yea so its base x height

Answer 80

no, it's x times x

Answer 81

you multiply one side by itself, that's the area of a square.

Answer 82

yea thats wat i meant :P

Answer 83

okay good :).. now you need to find the length of one side (that's the same as all other sides).

Answer 84

so thats 28/4 = 7 for the big square and 20/4=5 for the small square

Answer 85

exactly..

Answer 86

so the area of the big square would be?

Answer 87

and that means that the area of the small square is 25 cm2 and the big square = 28cm2 ?

Answer 88

no no no

Answer 89

ahan?

Answer 90

big square = 49 am2

Answer 91

amazing!!

Answer 92

cm!!

Answer 93

LOL!

Answer 94

then the area between them is?

Answer 95

24

Answer 96

are you sure you're not cheating? :P

Answer 97

woooow u think im that bad at math D: