Question

if I pick any single digit number and multiply it by 12345679. Then multiply the result by 9. How can I explain how this happens?

Answer 1

explain how what happens ??

Answer 2

that is kind of cool, isn't it?

Answer 3

its cool but but is there a trick to why this happens?

Answer 4

123456789 x 9 = 1111111101

So if you pick any SINGLE digit number "a" and multiply it by 123456789 and then by 9 you are actually multiplying "a" by 1111111101 and you will get:
aaaaaaaa0a

Answer 5

one answer is because \(123456789\times 9=111,111,111\) but that might not be a very satisfying answer, just changes the question as to why that is so

Answer 6

im still a little confused. No matter what single digit I multiply I will still get that number repeated 9 times..

Answer 7

to see what the second thing is true, it is because we write out numbers in base ten
what happens when you divide \(111,111,111\) by \(9\) ?
try it and you will see why you get \(123,456,789\)

Answer 8

@helpmath123 multiply \(123,456,789\) by \(9\) and see that you get \(111,111,111\)
do you see it?

Answer 9

Yea, I understand it a little more

Answer 10

Thanks

Answer 11

yw

Answer 12

@dumbcow the result. Explaining what happens when I get the result

Answer 13

Oh, I did not notice that 8 was omitted. So it is
12,345,679 * 9 = 111,111,111

a * 12,345,679 * 9 = a * 111,111,111 = aaa,aaa,aaa

Answer 14

@aum oh now i get it. Thanks

Answer 15

You are welcome.