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

 

Academic number spelling
Numbers in the science

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Unfortunately, academic numbers aren’t as manageable as in most math books. Very big, as well as very small numbers can occur. 

Example: The distance between the earth and sun is 150 000 000 km.

Example 2: The mass of a hydrogen atom (that is about the smallest thing humans know about) is 0,000 000 000 000 000 000 000 001 674 g.

But who wants to write such long numbers all the time? You could say that the first example is 150 gigameters but if you to write the number out nothing changes. For the second example you say …. It’s also different. All the zeros can be eliminated by mathematical expressions.

For 100 you could say: 10 ∙ 10 or 102

For 1 000 you could say 10 ∙ 10 ∙ 10 or 103

That’s easy. 1 000 has three zeros and so 10 to the power of three is 1 000.

So 15 ∙ 107 is 15 with 7 zeros. The ten is omitted in some books and calculators. Then it says that 157 is the distance between the sun and the earth.

All the zeros after the comma in example 2 are characterized by negative exponents. You will learn how to calculate that in the 10th grade. So the hydrogen atom is:

 

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02/09/07