Question

Fill in the blank with a digit such that the resulting number is divisible by 11.
(a) 962,974,__34


(b) 92,818,__21


(c) 57,13__,473

Answer 1

Does it mean the number following will be able to be divided by 11?

Answer 2

what do you suppose the answer is?

Answer 3

@markchernioglo I will watch you do this, because I think I know the answer, but not too sure.. :p

Answer 4

lol same but ill try

Answer 5

I believe I know what it is..

Answer 6

so i think A. could be eliminated becuase 962,974 is not a factor of 11.

Answer 7

(a) 962,974,__34 When divided by 11, we don't get a whole number.


(b) 92,818,__21 When divided by 11, we don't get a whole number.


(c) 57,13__,473 When divided by 11, we get 43.

Answer 8

yup maddie you got it.

Answer 9

that is correct

Answer 10

for the question its asking to find the missing blank number

Answer 11

@markchernioglo I took the thunder, you were starting tho.

Answer 12

:)

Answer 13

to make it true for it to be divided by 11

Answer 14

It is the last one, the number must be 43. Right @markchernioglo

Answer 15

yup

Answer 16

correct

Answer 17

Thought so. :-)

Answer 18

C is your correct answer @Jackiemelbs

Answer 19

yup

Answer 20

If you want to go the extra mile, the answer you get from dividing that by 11 should be the fill in the blank spot.

Answer 21

well igtg if anyone needs help maddy you are smart :)

Answer 22

its not asking for which one is correct, for each letter it wants you to put the 1 missing number to make it true that the number can be divided by 11

Answer 23

@markchernioglo trust me you are uber smart too!! You were right there with me :-) I will fan you!

Answer 24

lol same

Answer 25

So whatever you get from dividing by 11, they want in there?

Answer 26

Or that the answer is divisable by 11?

Answer 27

no its something with some sort of divisibility rule of 11 that we have to use in order to find it and thats why i posted cause i get stuck on it

Answer 28

Ah okay. One second (-: Sorry, I misinterpretted.

Answer 29

Does it request any special numbers, is there a rule to these numbers in the sequence?

Answer 30

Here an easy way to test for divisibility by 11. Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2-7+2-8 = -11. (I've tried using this but I can never get it to work)

Answer 31

i guess what i don't understand is how to determine this if you are missing a number

Answer 32

Well, I understand that. But, you could honestly put in any numbers. There must be a catch,

Answer 33

Fill in the blank with a digit such that the resulting number is divisible by 11
(a) 962,974,__34


(b) 92,818,__21


(c) 57,13__,473

What I think is they want us to add up all the numbers up until the point of the blank spot possibly

Answer 34

Like for C, 5+7+1+3=16, but see that is not divisible by 11..

Answer 35

and 57 + 13 = 70 which is not divisible by 11, either.

Answer 36

right....ugh this problem sucks haha

Answer 37

It does! I mean, I understand the rule. But there is a trick within these numbers.

Answer 38

And there is no pattern, the numbers are inconsistent.

Answer 39

right....oh well i guess I'll just ask my professor cause i honestly have no idea

Answer 40

Its gotta do with the numbers, if they were in sequence, it would seem more reasonable, but the numbers fluctuate a lot. So, that doesn't help. you could pick any number under these circumstances, for it to be divisble by '11', unless there was something in your lesson that went over these.

Answer 41

Well I have one proposition

Answer 42

We could take each end number, such as a) for 34, times it by 11, giving us 374, putting that into the blank spot.

Answer 43

That is a multiply of 11, and dividing it by 11 yields 34.

Answer 44

b) 21 x 11 = 231. 231 is a factor of 11, so it could be a possible answer.

Answer 45

And mybe put in 43 for c, because that multiplies out to give us 473.

Answer 46

So,
A) 374
B) 231
c)43 ( maybe )

Answer 47

do u know the divisibility test for 11

Answer 48

@imqwerty am I somewhat right? Haha

Answer 49

wait a sec ima see :)
i ddin't read anything i jst cmnted cx

Answer 50

Haha okay XD

Answer 51

what digits are u filling in the 1st one?
i dun get it
u wrote 374 but there are only 2 spaces

Answer 52

A) 374
B) 231
c)43
Are my answers

Answer 53

I disregarded the spaces, I think it was just spaces to be space

Answer 54

I highly doubt c is 5203. That seems to be too large.

Answer 55

However, if you divide 473 x 11 = 5203. Which then divided by 11 yields 473, so, that is a possibility.

Answer 56

multiply, not divide..

Answer 57

A) 374
B) 231
c)43 or 5203.

Answer 58

a) 0
b) 1
c) 4

Works:
a) 9 -6 + 2 - 9 + 7- 4 + x - 3 + 4 = closest number divisible by 11
0 + x = closest number divisible by 11, in this case it is 0
0 + x = 0, x = 0

b) 9 - 2 + 8 - 1 + 8 - x +2 -1 = closest number divisible by 11
23 - x = closest number divisible by 11, in this case it is 22
23 - x = 22, x = 1

c) 5 - 7 + 1 - 3 + x - 4 + 7 - 3 = closest number divisible by 11
-4 + x = closest number divisible by 11, in this case it's 0
-4 + x = 0, x = 4

Answer 59

(a) 962,974,034
(b) 92,818,121
(c) 57,134,473

Answer 60

Refer to the attached Mathematica calculation.