5th grade
Natural numbers
Basic arithmetic operations
Calculation laws and advantages
Geometry

6th grade
Divisibility of numbers
Factions
Decimal fractions
Angles and angle measures

7th grade
Assignment and rule of three
Calculation of percentage
Rational numbers
Equation and inequation
Probability calculus

8th grade
Function and assignment
Triangles
Quadrangles
Calculation of surfaces
Transformation of terms
Probability calculus

9th grade
The root
Record set of the pythagoras

10th grade
Circle calculation
The cone
Power calculation
Power laws
Exponential function
Logarithm
Trigonometry
Probability calculus

 

Written division
 

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To divide (division), which can be very troublesome to do in your head, there is also a written procedure which can be used even with the biggest of numbers.

Example: How much is 21 873 : 23?

Just like by written multiplication, the problem has to first be carefully written.

Then you look at the first digit of the number which is to be divided (dividend). If the first digit is not dividable, then revise if the second, third, forth and so on, are divisible together. (In our example, the first three digits (together) are the smallest divisible unit. As soon as the division is possible, then the smallest divisible unit is divided by the divisor. Most of the time the answer will turn out to be an uneven one though. So you write the next lower multiple of the divisor under the first divisible unit and notes the result behind "="-character.

Then a line is drawn under the multiples and the difference between the first digits is subtracted (àyou subtract the answers from the numbers you have just divided). Afterwards, the next digit is written behind the difference of the dividend with which you haven’t calculated yet, and use the same procedure.

 

Attention: Under some circumstances, a zero may be the answer which has to be written into the answer also.

Keep calculating, using this procedure until all numbers have been calculated.

2

1

8

7

3

:

2

3

=

9

5

1

2

0

7

 

 

 

 

 

 

 

 

1

1

7

 

 

 

 

 

 

 

 

 

1

1

5

 

 

 

 

 

 

 

 

 

 

 

2

3

 

 

 

 

 

 

 

 

 

 

2

3

 

 

 

 

 

 

 

 

 

 

 

0

 

 

 

 

 

 

 

 

Differenz / Rest

 

 

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02/09/07