Division nach Adam Ries

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Andreas Vohns

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Andreas Vohns

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4 years, 3 months ago

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Andreas Vohns 4 years, 3 months ago

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Andreas Vohns 4 years, 3 months ago

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Question statement

Nach Adam Ries sei die Aufgabe $\var{c}:\var{a}$ schriftlich zu berechnen.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	integer	5
b_digits	list	[ 9, 8, 5 ]
c	integer	4925
b	integer	985
carry1	integer	4
carry2	integer	2
c1	integer	4
c2	integer	9
c3	integer	2
c4	integer	5

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
random(5..9)

JME function reference

Description

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `integer`

→ Used by:

c
carry1
carry2

This variable doesn't seem to be used anywhere.

Parts

Gap-fill
1. Gap a1 Number entry
  Add
2. Gap a2 Number entry
  Add
3. Gap a3 Number entry
  Add
4. Gap carry1 Number entry
  Add
5. Gap carry2 Number entry
  Add
6. Gap b1 Number entry
  Add
7. Gap b2 Number entry
  Add
8. Gap b3 Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Tragen Sie unten die fehlenden Ziffern ein.

In jede Lücke bitte nur genau eine Ziffer eintragen.

	carry1	carry2
{c1}	{c2}	{c3}	{c4}	\|	b1	b2	b3
	a1	a2	a3

Advice

Erster Schritt: Wir schreiben unter die 2. Stelle den Divisor, also $\var{a}$ . Wir rechnen $\var{(c1)*10+c2}:\var{a}=\var{b_digits[0]}$ , als Rest erhalten wir $\var{carry1}$ , den wir über die 2. Ziffer notieren.

	{carry1}
{c1}	{c2}	{c3}	{c4}	\|	{b_digits[0]}
	{a}

Zweiter Schritt: Wir schreiben unter die 3. Stelle den Divisor, also wieder $\var{a}$ . Wir rechnen $\var{(carry1)*10+c3}:\var{a}=\var{b_digits[1]}$ , als Rest erhalten wir $\var{carry2}$ , den wir über die 3. Ziffer notieren.

	{carry1}	{carry2}
{c1}	{c2}	{c3}	{c4}	\|	{b_digits[0]}	{b_digits[1]}
	{a}	{a}

Dritter Schritt: Wir schreiben unter die letzte Stelle wieder den Divisor, also $\var{a}$ . Wir rechnen $\var{(carry1*10+floor(mod(c,100)/10)-b_digits[1]*a)*10+c4}:\var{a}=\var{b_digits[2]}$ . Das geht sich ohne Rest aus, also haben wir die Lösung $\var{b}$ gefunden.

	{carry1}	{carry2}
{c1}	{c2}	{c3}	{c4}	\|	{b_digits[0]}	{b_digits[1]}	{b_digits[2]}
	{a}	{a}	{a}

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
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Gap-fill		Hasn't run yet
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This question is used in the following exams:

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Andreas Vohns 4 years, 3 months ago

Andreas Vohns 4 years, 3 months ago

Andreas Vohns 4 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: `integer`

Parts

Gap-fill

{c1}

{c2}

{c3}

{c4}

|

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Division nach Adam Ries

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Andreas Vohns 4 years, 3 months ago

Andreas Vohns 4 years, 3 months ago

Andreas Vohns 4 years, 3 months ago

Error in variable testing condition

Error

Warning

Generated value: integer

Parts

Gap-fill

{c1}

{c2}

{c3}

{c4}

|

Generated value: `integer`