Translation of Sentence Into An Equation

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Discussion Overview

The discussion revolves around translating a verbal sentence into a mathematical equation. The specific sentence to be translated is "The difference of a number times 8 and 5 is 3," with the variable c designated for the unknown number. The scope includes mathematical reasoning and conceptual clarification regarding the translation process.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • Some participants propose starting with the variable c and consider how to represent multiplying it by 8.
  • One participant suggests the equation might be 8c*5=3, expressing uncertainty about the correct formulation.
  • Another participant clarifies that the difference of a number times 8 and 5 means subtracting 5 from 8 times c, leading to the equation 8c - 5 = 3.
  • There is a question about whether the equation needs to be simplified further.

Areas of Agreement / Disagreement

Participants generally agree on the formulation of the equation as 8c - 5 = 3, but there is some uncertainty regarding the need for simplification or solving for c.

Contextual Notes

Some participants express confusion about the initial translation, indicating that the process may require practice to become clearer. There is also a mention of solving for c, which introduces additional steps that are not fully explored in the discussion.

zolton5971
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Translate the sentence into an equation.

The difference of a number times 8 and 5 is 3.

Use the variable c for the unknown number.

How do I write this as an equation?
 
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zolton5971 said:
Translate the sentence into an equation.

The difference of a number times 8 and 5 is 3.

Use the variable c for the unknown number.

How do I write this as an equation?

Starting with $$c$$ - how would you represent multiplying this by 8?

edit: these do seem hard to begin with but get clearer with practice :)
 
Would it be 8c*5=3?

Im struggling with this one!
 
zolton5971 said:
Translate the sentence into an equation.

The difference of a number times 8 and 5 is 3.

Use the variable c for the unknown number.

How do I write this as an equation?

The difference of a number $a$ and $b$ means that you substract the number $b$ from $a$.

You have a number $c$ times $8$, so you multiply $c$ by $8$ ($8 \cdot c$) and you want to find the difference from this number and $5$ and this difference is equal to $3$.

So you get the following equation:

$$8c-5=3$$
 
Ok thanks so the answer is 8c-5=3? Do I need to simplify it at all?
 
zolton5971 said:
Ok thanks so the answer is 8c-5=3?

Yes! (Smile)

zolton5971 said:
Do I need to simplify it at all?

You could solve for $c$.
 

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