How Can I Calculate Negative Multiplication Without Following Traditional Rules?

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Discussion Overview

The discussion revolves around the calculation of negative multiplication, specifically how to interpret the multiplication of a positive number by a negative number without adhering to traditional mathematical rules. Participants explore the implications of starting with a certain quantity and how that affects the outcome of the multiplication.

Discussion Character

  • Exploratory
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant suggests that multiplying 6 pencils by negative two could be interpreted as taking away 6 pencils twice, leading to a result of -6.
  • Another participant argues that starting with 6 pencils means the calculation should be framed as 6 + (-2 x 6), resulting in -6, while noting that starting from zero would yield -12.
  • A further inquiry is made about the reasoning behind starting with zero instead of 6, questioning the interpretation of the initial quantity in the context of the multiplication.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the multiplication of a positive number by a negative number, with no consensus reached on the correct interpretation or methodology.

Contextual Notes

The discussion highlights the ambiguity in interpreting initial quantities and the implications of different starting points in mathematical operations, particularly in the context of negative multiplication.

pyroclasticsoul
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Do NOT delete your Original Post after you have received replies and help
TL;DR
Negative times positive
Say I have 6 pencils. I want to times this by negative two. Now ignoring the rules that your teacher taught you work this out. 6 pencils negative 2 times. Negative one time would be 0 and another negative times would be -6 right? So 6 x - 2 = -6 according to simple logic. The calculator will say -12 but if I took 6 away from 6 3 times that would be -12.
 
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pyroclasticsoul said:
TL;DR Summary: Negative times positive

Say I have 6 pencils. I want to times this by negative two. Now ignoring the rules that your teacher taught you work this out. 6 pencils negative 2 times. Negative one time would be 0 and another negative times would be -6 right? So 6 x - 2 = -6 according to simple logic. The calculator will say -12 but if I took 6 away from 6 3 times that would be -12.
No. You started out with 6. "I have 6 pencils." You're describing 6 + -2x6 which equals -6.

If you had started out with zero, then the final answer would indeed be -12.
 
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DaveC426913 said:
No. You started out with 6. "I have 6 pencils." You're describing 6 + -2x6 which equals -6.

If you had started out with zero, then the final answer would indeed be -12.
I thought about that but why do I start with 0 and not 6 since 6 is the number adjusted by -2.
 
pyroclasticsoul said:
why do I start with 0

Read the problem statement you wrote.

"I have 6 pencils"

The problem starts at +6 pencils.
 
Note -- the OP deleted their first post after getting help from Dave. This is not allowed. The OP text is restored and this thread is now closed.
 
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