## Re: 34 x 86

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• ... Here s what Javi was getting at: 34 is a multiple of 17. (2x17) 86 is CLOSE to a multiple of 17. (5x17 + 1) So 34 x 86 = (2 x 17) x [(5 x 17) + 1] = [(2 x
Message 1 of 9 , Jun 14, 2007
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>
> How did you come to 17 x 172 = 289 x 10 is there some quick way.
>
> Mark
>
>
> Yes, i know its late , but i read the last messages now.
>
> I prefer this way : In 34 x 86 I hear "seventeen , seventeen.." ,
>
> i.e. 34 x 86 =
>
> 17 x 17 2 =
>
> 289 (x 10) + 34 = 2924
>
> Best wishes.
>

> Javi.

Here's what Javi was getting at:

34 is a multiple of 17. (2x17)
86 is CLOSE to a multiple of 17. (5x17 + 1)

So 34 x 86 = (2 x 17) x [(5 x 17) + 1]
= [(2 x 17) x (5 x 17)] + [(2 x 17) x 1] = 2x5x17x17 + 34
=[10 x (17^2)] + 34 = 2890 + 34

Does that clear things up?

Al Stanger
• I see his way as simpler than the last explanation... 34 x 86 is 2 x 17 x 86 which is 17 x 86 x 2 which is 17 x 172, which is 17 x 170 + 17 x 2 which is 17
Message 2 of 9 , Jun 14, 2007
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I see his way as simpler than the last explanation...
34 x 86 is 2 x 17 x 86 which is 17 x 86 x 2 which is 17 x 172, which is 17
x 170 + 17 x 2 which is 17 squared x 10 plus 34, which is 2890 + 34 = 2924.
Best wishes, Ian

-----Original Message-----
From: MentalCalculation@yahoogroups.com
Sent: Friday, 15 June 2007 4:03 AM
To: MentalCalculation@yahoogroups.com
Subject: [Mental Calculation] Re: 34 x 86

How did you come to 17 x 172 = 289 x 10 is there some quick way.

Mark

Yes, i know its late , but i read the last messages now.

I prefer this way : In 34 x 86 I hear "seventeen , seventeen.." ,

i.e. 34 x 86 =

17 x 17 2 =

289 (x 10) + 34 = 2924

Best wishes.

Javi.

[Non-text portions of this message have been removed]
• wow, you make it seem so beautiful and easy, i felt some new connections occur between some brain cells *wink*, it was a feeling of being high for a moment.
Message 3 of 9 , Jun 15, 2007
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wow, you make it seem so beautiful and easy, i felt some new connections occur between some brain cells *wink*, it was a feeling of being high for a moment. Thanks for helping to make this easier, i never realized you could do that to the numbers and get the same result.

twh

Ian Stewart-Koster <ian@...> wrote: I see his way as simpler than the last explanation...
34 x 86 is 2 x 17 x 86 which is 17 x 86 x 2 which is 17 x 172, which is 17
x 170 + 17 x 2 which is 17 squared x 10 plus 34, which is 2890 + 34 = 2924.
Best wishes, Ian

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• 34 x 86 = 102/3 * 86 = 8772/3 = 2924 I find it very interesting to see the different ways everyone uses to calculate a multiplication. We should do this more
Message 4 of 9 , Jun 15, 2007
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34 x 86 = 102/3 * 86 = 8772/3 = 2924

I find it very interesting to see the different ways everyone uses to calculate a multiplication. We should do this more often.

Jan

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• Sorry, I noticed too late that this was already mentioned by Ron. Jan ... From: Jan van Koningsveld To: MentalCalculation@yahoogroups.com Sent: Friday, June
Message 5 of 9 , Jun 15, 2007
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Sorry, I noticed too late that this was already mentioned by Ron.

Jan

----- Original Message -----
From: Jan van Koningsveld
To: MentalCalculation@yahoogroups.com
Sent: Friday, June 15, 2007 11:40 PM
Subject: Re: [Mental Calculation] Re: 34 x 86

34 x 86 = 102/3 * 86 = 8772/3 = 2924

I find it very interesting to see the different ways everyone uses to calculate a multiplication. We should do this more often.

Jan

[Non-text portions of this message have been removed]

[Non-text portions of this message have been removed]
• 34 x 86 this is the way I do it as a beginner..... I put the 34 (over the eighty six) 86 then I multiply 6 x 4 = 24 then I add 6 x 30 = 180 so then I get 204
Message 6 of 9 , Jun 15, 2007
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34 x 86

this is the way I do it as a beginner.....

I put the

34 (over the eighty six)
86

then I multiply

6 x 4 = 24
then I add 6 x 30 = 180
so then I get 204
then I add 80 x 4 = 320
so then I get 524
then I multiply 80 x 30 and get 2400
and add it to 524 and get

2924

thats how I multiply 2 x 2 digit numbers.

AIM: vfuturist
Skype.com : visionaryfuturist

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• In fact, since the ratio first digit:second digit in the first number (3:4) is the same as the ratio second digit:first digit in the second number (6:8 = 3:4)
Message 7 of 9 , Jun 16, 2007
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In fact, since the ratio first digit:second digit in the first number (3:4) is the same as the ratio second digit:first digit in the second number (6:8 = 3:4) then both figures can be reversed.
Therefore the answer is the same as 43x68, and the sum can be negotiated this way if that's easier.
Andy

----- Original Message ----
To: MentalCalculation@yahoogroups.com
Sent: Saturday, 16 June, 2007 6:41:06 AM
Subject: Re: [Mental Calculation] Re: 34 x 86

34 x 86

this is the way I do it as a beginner.... .

I put the

34 (over the eighty six)
86

then I multiply

6 x 4 = 24
then I add 6 x 30 = 180
so then I get 204
then I add 80 x 4 = 320
so then I get 524
then I multiply 80 x 30 and get 2400
and add it to 524 and get

2924

thats how I multiply 2 x 2 digit numbers.

AIM: vfuturist
Skype.com : visionaryfuturist

--------
Affordable Web Hosting Solutions
http://www.1st- amendment. org

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Get the free Yahoo! toolbar and rest assured with the added security of spyware protection.

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