Chatting about Juxtaposition as a Multiplication Indicator

[lookagain]

As you pointed out 10ⁿ⁺¹ = 10 10ⁿ,

so let's write that as

10ⁿ⁺¹ = 10 10ⁿ

= (1 + 9) 10ⁿ \(\displaystyle \ \ \ \) <------- There can't be a space after the close parenthesis for all of that to be a product.

= 10ⁿ + 9 10ⁿ >

n + 9 10ⁿ

since 10ⁿ > n.

You weren't showing multiplication above. Using asterisks and/or parentheses, but not exclusively, can achieve this:


As you pointed out 10ⁿ⁺¹ = 10*10ⁿ

, so let's write that as 10ⁿ⁺¹ = 10*10ⁿ

= (1 + 9)10ⁿ

= 10ⁿ + 9*10ⁿ >

n + 9*10ⁿ

 

[Ishuda]

Thank you so much. That was just the help I needed. (I'm assuming you used spaces instead of multiplication signs.)

You are very welcome. Yes, I tend to use spaces when it is clear what is meant but then someone else's feeling of unclear differs from mine sometimes

 

[lookagain]

Yes, I tend to use spaces when it is clear what is meant but then
someone else's feeling of unclear differs from mine sometimes

No, it is not a matter of what you mean. What you showed is unambiguously wrong,
and it is independent of the "someone else's feeling of unclear differs from mine sometimes"
idea. That is, you are to not shirk your responsibility of writing/typing it correctly onto me
or anyone else reading it.
Your intentions don't matter. Either you bother to show the correct multiplication(s) or
leave out that/those particular step(s).

 

[mmm4444bot]

The student correctly understood the tutor, so communication was successful.

Juxtaposition is used to indicate multiplication, in various ways.

We can discuss whether it's right or wrong or when it's problematic versus when it's not, but let's not do that in student threads.

I hope that I've never written or typed anything like 10 10^n. (Is that binary? heh, heh)

However, I don't have an issue with (1+9) 10^n, as long as the context is clear. I once used an old, programmable calculator that would interpret (1+9)10^n as a product. :cool:

 

[lookagain]

The student correctly understood the tutor, so communication was successful. That's irrelevant. If they're being shown wrong,
then it needs to be corrected.


However, I don't have an issue with (1+9) 10^n, Well, you *should*, because it's meaningless. There is no multiplication
going on there because of that gap.

as long as the context is clear.

I once used an old, programmable calculator that would interpret (1+9)10^n as a product. Interpretation should not even be an issue there.
It follows the Order of Operations. It is a product without question.

Please stop being an apologist, an enabler, and an excuse-maker.

 

[Ishuda]

The student correctly understood the tutor, so communication was successful. ...

Hey, haven't you ever heard about 'don't feed the trolls' (unless you want to have a little fun watching them foam & drool that is). BTW: You can't mention what you are doing or the trolls tend to sneak away into their darkness.