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#51 2014-06-12 23:31:13
- David
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- From: Bumpkinland
- Registered: 2014-04-23
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Re: Find the unit digit of the number n
Which is 6? I don't know.
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#52 2014-06-12 23:32:26
- bobbym
- bumpkin
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- Posts: 109,606
Re: Find the unit digit of the number n
Let's forget the answer for now. We just agreed that taking any number mod 10 gets the last digit.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#53 2014-06-12 23:33:11
- David
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- From: Bumpkinland
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Re: Find the unit digit of the number n
K I agree, you agree, we agree.
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#54 2014-06-12 23:35:46
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
So if we could mod 10 that whole expression we would get the unit digit of it and solve the problem.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#55 2014-06-12 23:38:14
- David
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- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
I see
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#56 2014-06-12 23:44:00
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
Now the mod operator as I told you can be split up:
is the same as
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#57 2014-06-13 00:02:55
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
I see
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#58 2014-06-13 00:04:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
If you take the mod 10 of each parentheses you will get a 6 for each parentheses.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#59 2014-06-13 00:10:54
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
I see but then we will have to multiply them?
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#60 2014-06-13 00:18:23
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
Yes but you will take the mod 10 of each pair.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#61 2014-06-13 00:30:46
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
I see, sorry was eating.
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#62 2014-06-13 00:33:31
- bobbym
- bumpkin
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- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
( 6 x 6 ) mod 10 = 6
( 6 x 6 ) mod 10 = 6
( 6 x 6 ) mod 10 = 6
( 6 x 6 ) mod 10 = 6
Now you only have 4 sixes.
( 6 x 6 ) mod 10 = 6
( 6 x 6 ) mod 10 = 6
Now you only have 2.
( 6 x 6 ) mod 10 = 6 and you are done. Notice the first way was easier. See you a little later.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#63 2014-06-13 00:36:05
- David
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- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
Thanks for your time and everything bobbym. See you later too.
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#64 2014-06-13 04:56:42
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
Do you understand everything up to here?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#65 2014-06-13 12:39:45
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
Yes
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#66 2014-06-13 13:42:20
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
Okay, then we will cover a few more when I get them ready.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#67 2014-06-14 02:44:33
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
Hi chooipian;
This one is easy so we will start there.
What is the units digit of
or
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#68 2014-12-05 02:12:32
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
Explain
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#69 2014-12-05 02:16:05
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
It is a 1.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#70 2014-12-05 02:17:30
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
How does it work again?
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#71 2014-12-05 02:19:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
8^2014 is really 8 x 8 x 8 x 8 when there are 2014 8's. Yes?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#72 2014-12-05 02:20:44
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
Yes.
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#73 2014-12-05 02:21:41
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
Take a look at post #56 again as a review.
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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#74 2014-12-05 02:23:04
- David
- Member
- From: Bumpkinland
- Registered: 2014-04-23
- Posts: 3,164
Re: Find the unit digit of the number n
I just did.
His dominion is an everlasting dominion, Which shall not pass away, And His kingdom the one Which shall not be destroyed.
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#75 2014-12-05 02:24:21
- bobbym
- bumpkin
- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606
Re: Find the unit digit of the number n
So what do you say about
(8 x 8 x 8 x 8 ... 8) mod 7 ?
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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