Scientific notation

This lesson:

- Welcome

- 'I like' game

- Explanation Scientific notation

- Make homework exercises

- Conclusion

1 / 29

Slide 1: Tekstslide

WiskundeMiddelbare school

In deze les zitten 29 slides, met interactieve quizzen en tekstslides.

Onderdelen in deze les

This lesson:

- Welcome

- 'I like' game

- Explanation Scientific notation

- Make homework exercises

- Conclusion

Slide 1 - Tekstslide

Learning objectives

At the end of the lesson you

- will understand the scientific notation

- can write numbers from decimal- to scientific notation

- can write numbers from scientific- to decimal notation

Slide 2 - Tekstslide

Scientific notation

Paragraph 1.6

Slide 3 - Tekstslide

First calculate:

10^{​ 4 ​ ​}

10^{​ - 5 ​ ​}

3.2 \cdot 10^{​ 6 ​ ​}

Slide 4 - Tekstslide

What is the scientific notation?

- Easier

- Shorter

Slide 5 - Tekstslide

How to use it, example

6.54 \cdot 10^{​ 5 ​ ​} =

Slide 6 - Tekstslide

How to use it, example

6.54 \cdot 10^{​ 5 ​ ​} = 6.54 \cdot 100, 000

Slide 7 - Tekstslide

How to use it, example

So, the makes the decimal point move 5 places to the right.

6.54 \cdot 10^{​ 5 ​ ​} = 6.54 \cdot 100, 000

= 654, 000

10^{​ 5 ​ ​}

Slide 8 - Tekstslide

How to use it, example

So, the makes the decimal point move 5 places to the right. This also means that:

6.54 \cdot 10^{​ 5 ​ ​} = 6.54 \cdot 100, 000

= 654, 000

10^{​ 5 ​ ​}

654, 000 = 6.54 \cdot 10^{​ 5 ​ ​}

Slide 9 - Tekstslide

Please note:

The first factor, the number before the decimal point, is ALWAYS between 1 and 10.

Slide 10 - Tekstslide

What about smaller numbers?

5.76 \cdot 10^{​ - 3 ​ ​} =

Slide 11 - Tekstslide

What about smaller numbers?

5.76 \cdot 10^{​ - 3 ​ ​} = 5.76 \cdot \frac{​ 1 ​ ​}{​ 1 0 0 0 ​}

Slide 12 - Tekstslide

What about smaller numbers?

Conclusion: for the negative powers we move the decimal point to the left.

5.76 \cdot 10^{​ - 3 ​ ​} = 5.76 \cdot \frac{​ 1 ​ ​}{​ 1 0 0 0 ​}

= 0.00576