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
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Logarithm
Trigonometry
Probability calculus

 

Written subtracting
 

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The same procedure can be used to subtract big numbers like those in the first example.

All you have to do is write the numbers under each other; ones under ones, tens under tens, hundreds under hundreds, … so that we can overlook everything easily. The biggest number is always on top and the smaller number is then subtracted from it.

Then you start at the very right, with the ones, and start subtracting. First you add the numbers that are going to be subtracted in this column. (In our example it is 7+6=13) Then the answer is subtracted from the top number. (In out example=4)

 

But because we can’t write 4-13, we have to add a ten so that 4 becomes 14. You would have to add even more tens if we had 25 (for example) instead of 13. (we would have to add 3 tens) So that we can remember to move the ten over, we write a 1 in the tens column, left beside it, 2 by the two tens so on and so forth. This “carry-out” is written in the next column and subtracted from it. (In out example it’s in the tens column.) So instead of having just 7+2=9, it’s even 7+9+1=10.

In the lowest row you write the answer of each column. (In our first example it would be 14-13, so the answer is 1).

This is how you proceed in each column from left to right and at the very end you’ll have the answer.

Example: 163 324-65 477-8 126=????

Because the problem is too hard to calculate in your head, we have to write it out.

 

HT

ZT

T

H

Te

O

 

1

6

3

3

2

4

-

 

6

5

4

7

7

-

 

 

8

1

2

6

 

 

 

 

 

 

 

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1

2

1

1

1

 

 

0

8

9

7

2

1

 

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02/09/07