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Сила натуральной степени

" People unfamiliar with algebra can not imagine the wonderful things that can be achieved with the help of ... called science."

Слайды и текст этой презентации

Слайд 1Arkalyk state pedagogical Institute named after
Y. Altynsarin





Theme:
Power

Prepared by:

Shoibasov A. M-31.
Checked by: Sarsenbaeva Zh.

Arkalyk 2016

Arkalyk state pedagogical Institute named after Y. AltynsarinTheme: PowerPrepared by: Shoibasov A. M-31.Checked by: Sarsenbaeva Zh. Arkalyk

Слайд 2" People unfamiliar with algebra can not imagine the wonderful

things that can be achieved with the help of ...

called science."
G.W Leibniz

Слайд 3Determination of a natural indicator
Powers of a with natural exponent

n is the product of n factors, each of which

is equal to a.
Determination of a natural indicatorPowers of a with natural exponent n is the product of n factors,

Слайд 4Properties with a natural indicator of the degree of

Properties with a natural indicator of the degree of

Слайд 5Determination of the zero indicator
The degree of a, not equal

to zero , with zero is equal to one

Determination of the zero indicatorThe degree of a, not equal to zero , with zero is equal

Слайд 6Multiplying powers with the same bases
For any number a and

any positive integers m and n
Multiplying powers with the same

bases of the base is left unchanged , and the figures add up
Multiplying powers with the same basesFor any number a and any positive integers m and nMultiplying powers

Слайд 7The division of powers with the same bases
For any
arbitrary natural
number


and m and n, such that m> n
When dividing powers

with the same base bases are left unchanged , and the dividend is subtracted from the index index divider
The division of powers with the same basesFor anyarbitrary naturalnumber and m and n, such that m>

Слайд 8Exponentiation works
For any numbers a and b and any positive

integer n
With the construction of the power works erected in

the degree of each factor and multiply the results
Exponentiation worksFor any numbers a and b and any positive integer nWith the construction of the power

Слайд 9Exponentiation degree
For any number and a random natural numbers m

and n
With the construction of the degree of the power

base is left unchanged , and the figures are multiplied
Exponentiation degreeFor any number and a random natural numbers m and nWith the construction of the degree

Слайд 10Exponentiation fraction
For any numbers a and b >0 and any

positive integer n
With the construction of the power fraction erected

in the degree of the numerator and denominator of the fraction
Exponentiation fractionFor any numbers a and b >0 and any positive integer nWith the construction of the

Слайд 11History of the number of degree
In his famous book "

Arithmetic " Diophantus of Alexandria described the first natural degree

History of the number of degreeIn his famous book

Слайд 12Rene Descartes in his
"geometry" ( 1637 ) ,
we

find the current
designation of degrees

а2,а3,...

Rene Descartes in his

Слайд 13" Silences " Game
1. Follow these steps:
х11∙х∙х2 ;

х14 : х5 ; (а4)3

; (-За)2.

2. Compare the expression to zero :
( - 5)7; (-6)18; (- 4)11. (-4)8 (- 5)18∙ (- 5)6; -(- 4)8.

3. Calculate the value of the expression :
-1∙ 32; (-1 ∙ 3)2 1∙(-3)2; - (2 ∙ 3)2; 12 ∙ (-3)2


Слайд 14THE GAME " THE PAIR OF NUMBERS "
Answers

THE GAME

Слайд 15ANSWERS :
(1, 4)
(2, 7)
(3, 6)
(4, 3)
(5,

2 )

ANSWERS :(1, 4) (2, 7) (3, 6) (4, 3) (5, 2 )

Слайд 16
Computational pause

Computational pause

Слайд 17Comparing expressions
Compare without performing calculations. Find the correct inequalities. From

their respective letters make up the name of the architect

, the project is the building of the Bolshoi Theater in Moscow was built in 1825 :







Comparing expressionsCompare without performing calculations. Find the correct inequalities. From their respective letters make up the name

Слайд 18What number illustrates a circle?






Find out how many shows a

circle, if the shaded portion shows a specified number .

A record in the form of a
degree .





What number illustrates a circle?  Find out how many shows a circle, if the shaded portion

Слайд 19Reflection

Reflection

Слайд 20THANK YOU FOR
ATTENTION

THANK YOU FOR ATTENTION

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