1-5 Standard notation (p. 18)

1-5 Standard notation (p. 18)

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Slide 1: Tekstslide

NatuurkundeMiddelbare schoolhavoLeerjaar 3

In deze les zitten 24 slides, met interactieve quizzen en tekstslides.

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1-5 Standard notation (p. 18)

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Slide 1 - Tekstslide

Determine the factor when there is exponential growth.
Determine the formula if you have the table for exponential growth between two variables.

Determine the factor when there is exponential growth.
Determine the formula if you have the table for exponential growth between two variables.

Slide 2 - Tekstslide

Standard notation

Large numbers are often written in standard notation or scientific notation.
This is the product of a number between 1 and 10 and a power of 10

Slide 3 - Tekstslide

34 a to f

Slide 4 - Tekstslide

34 a. The standard notation of
123 000 is ...

1, 23 \cdot 10^{​ 3 ​ ​}

1, 23 \cdot 10^{​ 4 ​ ​}

12, 3 \cdot 10^{​ 4 ​ ​}

1, 23 \cdot 10^{​ 5 ​ ​}

Slide 5 - Quizvraag

34 b. The standard notation of
7 809 000 000 is ...

7, 908 \cdot 10^{​ 8 ​ ​}

7, 809 \cdot 10^{​ 9 ​ ​}

7, 809 \cdot 10^{​ 10 ​ ​}

7, 809 \cdot 10^{​ 6 ​ ​}

Slide 6 - Quizvraag

34 c. The standard notation of
14 569,5 is ...

0, 145695 \cdot 10^{​ 5 ​ ​}

1, 45695 \cdot 10^{​ 4 ​ ​}

1, 45695 \cdot 10^{​ 5 ​ ​}

14, 5695 \cdot 10^{​ 3 ​ ​}

Slide 7 - Quizvraag

34 d. The standard notation of
is ...

200 \cdot 10^{​ 3 ​ ​}

2 \cdot 10^{​ 5 ​ ​}

2 \cdot 10^{​ 2 ​ ​}

2 \cdot 10^{​ 6 ​ ​}

2 \cdot 10^{​ 3 ​ ​}

Slide 8 - Quizvraag

34 e. The standard notation of
is ...

10.4 \cdot 10^{​ 5 ​ ​}

10, 4 \cdot 10^{​ 5 ​ ​}

1, 04 \cdot 10^{​ 5 ​ ​}

1, 04 \cdot 10^{​ 6 ​ ​}

10, 4 \cdot 10^{​ 6 ​ ​}

Slide 9 - Quizvraag

34 f. The standard notation of
is ...

1356 \cdot 10^{​ 2 ​ ​}

1, 356 \cdot 10^{​ 6 ​ ​}

1, 356 \cdot 10^{​ 4 ​ ​}

1, 356 \cdot 10^{​ 5 ​ ​}

1, 356 \cdot 10^{​ 3 ​ ​}

Slide 10 - Quizvraag

Slide 11 - Tekstslide

Negative exponents

Standard notation is not only used for very large numbers but also for very small numbers. For small numbers you use negative exponents. For example:

and

10^{​ - 1 ​ ​} = \frac{​ 1 ​ ​}{​ 1 0 ​} = 0, 1

10^{​ - 5 ​ ​} = \frac{​ 1 ​ ​}{​ 1 0 ^{​ 5 ​ ​} ​} = \frac{​ 1 ​ ​}{​ 1 0 0 0 0 0 ​} = 0, 00001

Slide 12 - Tekstslide

38 a to f

Slide 13 - Tekstslide

38 a. What should come in the place
of the ...

10^{​ - 3 ​ ​} = . . .

0,1

0,01

0,001

Slide 14 - Quizvraag

38 b. What should come in the place
of the ...

10^{​ - 6 ​ ​} = . . .

0,000 1

0,000 01

0,000 001

0,000 000 1

Slide 15 - Quizvraag

38 c. What should come in the place
of the ...

3 \cdot 10^{​ - 4 ​ ​} = . . .

30 000

3 000

0,003

0,000 3

Slide 16 - Quizvraag

38 d. What should come in the place
of the ...

0, 000001 = 10^{​ . . . ​ ​}

-3

-4

-5

-6

Slide 17 - Quizvraag

38 e. What should come in the place
of the ...

0, 045 = 4, 5 \cdot 10^{​ . . . ​ ​}

-2

-3

Slide 18 - Quizvraag

38 f. What should come in the place
of the ...

0, 00123 = 1, 23 \cdot 10^{​ . . . ​ ​}

-3

-4

Slide 19 - Quizvraag

Slide 20 - Tekstslide

39 a-f

timer

2:30

Slide 21 - Tekstslide

Slide 22 - Tekstslide

Conclusion:

Large numbers can be written in standard or scientific notation. That is, as a product of a number between 1 and 10 and a power of 10.
Small numbers can also be written in standard

or scientific notation. That is, as a product of a
number between 1 and 10 and a negative
power of 10

Slide 23 - Tekstslide

Try on your own

1, 2, 5 and 7

TRY ON YOUR OWN

31, 32, 33, 35, 36, 37, 40 (p. 18)

RULES:

In your writingbook
Use: Textbook
Discussion when you are stuck is allowed