Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #51 2014-06-12 23:31:13

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

Which is 6? I don't know.

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #52 2014-06-12 23:32:26

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
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.

Offline

## #53 2014-06-12 23:33:11

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

K I agree, you agree, we agree.

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #55 2014-06-12 23:38:14

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

I see

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #57 2014-06-13 00:02:55

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

I see

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #59 2014-06-13 00:10:54

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

I see but then we will have to multiply them?

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #61 2014-06-13 00:30:46

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

I see, sorry was eating.

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #62 2014-06-13 00:33:31

bobbym
bumpkin
From: Bumpkinland
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.

Offline

## #63 2014-06-13 00:36:05

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

Thanks for your time and everything bobbym. See you later too.

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #65 2014-06-13 12:39:45

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

Yes

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #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.

Offline

## #68 2014-12-05 02:12:32

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

Explain

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #70 2014-12-05 02:17:30

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

How does it work again?

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #72 2014-12-05 02:20:44

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

Yes.

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline

## #74 2014-12-05 02:23:04

David
Member
From: Bumpkinland
Registered: 2014-04-23
Posts: 3,137

### Re: Find the unit digit of the number n

I just did.

Meaningless, meaningless, Everything is meaningless! - Ecclesiastes 1:2

Offline

## #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.

Offline