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Calculator that shows remainder?


cathmom
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I mean, for example, you have 47/7. A normal calculator shows 6.7142857. This calculator would show 6 R 5 instead. Does it exist?

 

You probably know this but you can find the remainder by:

 

47/7 [6.7142857]

-6 [0.7142857]

*7 [5]

 

47/7 = 6R5

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Huh? I get that you subtracted the 6, but what did you do after that?

 

She multiplied by 7--the number you divided by in the first place effectively cancelling out the division. I never would have thought of that.

 

Cool!

 

I come here as much for MY education. :D

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Huh? I get that you subtracted the 6, but what did you do after that?

 

The remainder can be expressed as a fraction:

5/2 = 2 R1 = 2 1/2

4/3 = 1 R1 = 1 1/3

5/2 = 1 R 2 = 1 2/3

 

Back to the original example:

47/7 [6.7142857]

-6 [0.7142857]

*7 [5]

 

.7142857 is the decimal remainder of 47/7,

 

Let x be the remainder (i.e. 47/7 = 6Rx = 6 x/7)

so .7142857 = x/7

and x = .7152857 * 7 = 5

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The remainder can be expressed as a fraction:

5/2 = 2 R1 = 2 1/2

4/3 = 1 R1 = 1 1/3

5/2 = 1 R 2 = 1 2/3

 

Back to the original example:

47/7 [6.7142857]

-6 [0.7142857]

*7 [5]

 

.7142857 is the decimal remainder of 47/7,

 

Let x be the remainder (i.e. 47/7 = 6Rx = 6 x/7)

so .7142857 = x/7

and x = .7152857 * 7 = 5

 

OK, I think I am following that on my 5 hours sleep - maybe - but it certainly would not help my dyslexic child LOL! Which is why I was looking for the calculator that shows a remainder.

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I was just looking at the TI site and in the tour of the TI 15 is says the Integer divide key would show a whole number remainder.

 

You may want to check it out.

 

I was just looking at the demos and it will also show them as a fraction using different keys.

 

There is also a TI-10 which has a default setting of a quotient/whole number remainder setting.

Edited by nukeswife
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OK, I think I am following that on my 5 hours sleep - maybe - but it certainly would not help my dyslexic child LOL! Which is why I was looking for the calculator that shows a remainder.
If you're using it to check work, just show the algorithm.

 

1. Do the division

2. Subtract the whole number

3. multiply by the divisor

4. If the answer is not a whole number or *very* close to a whole number, a mistake has been made and repeat 1-3

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I was just looking at the TI site and in the tour of the TI 15 is says the Integer divide key would show a whole number remainder.

 

You may want to check it out.

 

I was just looking at the demos and it will also show them as a fraction using different keys.

 

There is also a TI-10 which has a default setting of a quotient/whole number remainder setting.

 

Thanks! I will check these out.

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