1-5 Standard notation (p. 18)

1-5 Standard notation (p. 18)

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Slide 1: Slide

NatuurkundeMiddelbare schoolhavoLeerjaar 3

This lesson contains 24 slides, with interactive quizzes and text slides.

Lesson duration is: 50 min

Items in this lesson

1-5 Standard notation (p. 18)

Bluetooth

- ON

- VPN off

Stationary

- Texbook and

writing book

- Pen, pencil

- Calculator

- iPad

Report

- NO

Lessonup

- Yes

Bags in

the cuboard

Phones in the phone bag

Slide 1 - Slide

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 - Slide

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 - Slide

34 a to f

Slide 4 - Slide

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 - Quiz

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 - Quiz

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 - Quiz

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 - Quiz

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 - Quiz

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 - Quiz

Slide 11 - Slide

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 - Slide

38 a to f

Slide 13 - Slide

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

10^{​ - 3 ​ ​} = . . .

0,1

0,01

0,001

Slide 14 - Quiz

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 - Quiz

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 - Quiz

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

0, 000001 = 10^{​ . . . ​ ​}

-3

-4

-5

-6

Slide 17 - Quiz

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

0, 045 = 4, 5 \cdot 10^{​ . . . ​ ​}

-2

-3

Slide 18 - Quiz

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

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

-3

-4

Slide 19 - Quiz

Slide 20 - Slide

39 a-f

timer

2:30

Slide 21 - Slide

Slide 22 - Slide

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 - Slide

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

timer

15:00

Extra excercise: M1-M4 (p. 28)

Challenge: fun with maths (p. 31)

Slide 24 - Slide