Solving Basic Subtraction with Multiple Zeros

  • Context: High School 
  • Thread starter Thread starter Dav333
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Discussion Overview

The discussion revolves around solving basic subtraction problems that involve multiple zeros, specifically focusing on the example of subtracting 7986 from 8000. Participants explore different methods and approaches to handle the zeros in subtraction.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant asks for help with the subtraction problem involving multiple zeros, expressing confusion about the process.
  • Another participant suggests breaking down the numbers into their place values (thousands, hundreds, tens, ones) to simplify the subtraction.
  • A different participant expresses that the explanation provided is too complex and requests a more straightforward method, similar to what children learn.
  • One response emphasizes the importance of understanding the underlying concepts rather than just memorizing procedures.
  • Another participant points out a mistake in a different subtraction example and encourages the original poster to apply the same breakdown method to the current problem.
  • One participant shares a traditional borrowing method for subtraction, detailing the steps to handle zeros effectively.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best method for handling subtraction with multiple zeros. Various approaches are suggested, and some participants express differing levels of understanding and preference for simplicity versus conceptual depth.

Contextual Notes

Some participants express confusion about the traditional methods of subtraction, particularly when multiple zeros are involved, indicating a need for clarity in the explanation of these techniques.

Who May Find This Useful

This discussion may be useful for students struggling with basic subtraction, educators looking for different teaching methods, or anyone interested in understanding various approaches to arithmetic problems involving zeros.

Dav333
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how do i do:

8000
-7986
=

i have trouble with multiple zeros, thanks.
 
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Well, you have 8 thousands.

You may write that like
8000=7000+900+90+10
(7 thousands+9 hundreds+9 tens+10 ones)
Thus, we have:
8000-7986=(7000-7000)+(900-900)+(90-80)+(10-6)=0+0+10+4=14
 
Last edited:
thx. that's a bit over my head. :(

i was looking for the basic way kids do it, like this:

http://img18.imageshack.us/img18/3850/37640968.jpg

just when there are zeros together I get confused. thanks.
 
Last edited by a moderator:
Dav333 said:
thx. that's a bit over my head. :(

s.

Well, develop your head a bit, then, and make an EFFORT to understand it.

Maths isn't a set of meaningless routines where what you are seeking is a Tutor who can say them in such a way that you memorize it.
 
Look at your example. You were trying to find out 8321-4031 but you turned 8321 (8 thousands +3 hundreds +2 tens +1 ones) into (8 thousands + 2 hundreds + 12 tens + 1 ones).

Now, can you try and extend the same idea to break up 8000 in such a way as to solve the subtraction problem? Arildno has the answer, and if you think about what he said, you should be able to apply that idea to the way kids do it.
 
The way I learned it years ago:
You move to the left until you get to the first nonzero number from which you can borrow. Cross that number out, subtract 1 from it, and write that number above it (cross out 8 and write 7 above it in your problem). Cross out all the zeros and write 9 above them except for the rightmost 0; that zero gets a 1 before it so it becomes a 10. Then you can subtract each column of numbers.
 

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