Can someone explain this calculation

[robemorg]

Hi I understand the basics here 5*1+1=10 and 5*65=325 but how does that simplify to 13,25? which is the answer.

 

[robemorg]

5*(1+1,65) I interpret this to be 10,325 but the result was 13,25 why was that?

 

[Deleted member 4993]

5*(1+1,65) I interpret this to be 10,325 but the result was 13,25 why was that?

5*(1+1,65) = 5*(1+1.65) {European convention}

 

[robemorg]

5*(1+1,65) = 5*(1+1.65) {European convention}

Thanks for the reply but I don't know what the European convention means.

if you could show the workings as to how 13,25 became the answer it would help.

 

[mmm4444bot]

… I don't know what the European convention means …

When writing a decimal point, some countries use a comma while other countries use a period.

Europe is one place where countries use a period.

 

[mmm4444bot]

5*(1+1,65)

I interpret this to be 10,325 …

So, you are thinking that:

(5)(number) = 10,325

This means number must be 2,065 (because 10,325 ÷ 5 = 2,065).

But:

5(1 + 1,65) is 5(2,650)

not 5(2,065)

Looks like you incorrectly added 1 + 1,65

 

[mmm4444bot]

… I understand the basics here

5*1+1=10

That is not correct.

5·1 + 1 = 6

This is correct:

5(1 + 1) = 10

 

[JeffM]

Thanks for the reply but I don't know what the European convention means.

if you could show the workings as to how 13,25 became the answer it would help.

To show where the decimal point is in a number, Europeans use a comma whereas Americans use a period. Consequently, as subhotosh explained,

\(\displaystyle (1 + 1,65) \text { European style } = (1 + 1.65) \text { American style, and, clearly}\)

\(\displaystyle 5(1 + 1.65)= 5(2.65) = 13.25.\)

EDIT: As mmm pointed out, I should have addressed the order of operations issue.

 

[robemorg]

Thanks JeffM for the clearest explanation.

Thanks to everyone for else for replies.

 

[mmm4444bot]

Things may have changed, since I was in Europe. I remember prices listed using a period as a decimal point (except at a farmer's market in Italy).

Okay -- I just looked it up at wikipedia. The names "American convention" or "European convention" are obsolete.

Some American countries use a comma, and some use a period.

Some European countries use a comma, and some use a period.

Interesting page, there.

 

[mmm4444bot]

Thanks JeffM for the clearest explanation.

We're glad you understand.

Jeff didn't address your Order of Operations mistake.

Make sure to ask, if you don't understand why the first line below is incorrect.

5·1 + 1 = 10

5(1 + 1) = 10

:cool:

 

[robemorg]

Things may have changed, since I was in Europe. I remember prices listed using a period as a decimal point (except at a farmer's market in Italy).

Okay -- I just looked it up at wikipedia. The names "American convention" or "European convention" are obsolete.

Some American countries use a comma, and some use a period.

Some European countries use a comma, and some use a period.

Interesting page, there.

Thank you, must be confusing for the Swiss

 

[JeffM]

Interesting page, there.

Interesting indeed.

Thanks.