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Scientific notation
This lesson:
- Welcome
- 'I like' game
- Explanation Scientific notation
- Make homework exercises
- Conclusion
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Slide 1:
Diapositive
Wiskunde
Middelbare school
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This lesson:
- Welcome
- 'I like' game
- Explanation Scientific notation
- Make homework exercises
- Conclusion
Slide 1 - Diapositive
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 - Diapositive
Scientific notation
Paragraph 1.6
Slide 3 - Diapositive
First calculate:
a.
b.
c.
1
0
4
1
0
−
5
3
.
2
⋅
1
0
6
Slide 4 - Diapositive
What is the scientific notation?
- Easier
- Shorter
Slide 5 - Diapositive
How to use it, example
6
.
5
4
⋅
1
0
5
=
Slide 6 - Diapositive
How to use it, example
6
.
5
4
⋅
1
0
5
=
6
.
5
4
⋅
1
0
0
,
0
0
0
Slide 7 - Diapositive
How to use it, example
So, the makes the decimal point move 5 places to the right.
6
.
5
4
⋅
1
0
5
=
6
.
5
4
⋅
1
0
0
,
0
0
0
=
6
5
4
,
0
0
0
1
0
5
Slide 8 - Diapositive
How to use it, example
So, the makes the decimal point move 5 places to the right. This also means that:
6
.
5
4
⋅
1
0
5
=
6
.
5
4
⋅
1
0
0
,
0
0
0
=
6
5
4
,
0
0
0
1
0
5
6
5
4
,
0
0
0
=
6
.
5
4
⋅
1
0
5
Slide 9 - Diapositive
Please note:
The first factor, the number before the decimal point, is ALWAYS between 1 and 10.
Slide 10 - Diapositive
What about smaller numbers?
5
.
7
6
⋅
1
0
−
3
=
Slide 11 - Diapositive
What about smaller numbers?
5
.
7
6
⋅
1
0
−
3
=
5
.
7
6
⋅
1
0
0
0
1
Slide 12 - Diapositive
What about smaller numbers?
Conclusion: for the negative powers we move the decimal point to the left.
5
.
7
6
⋅
1
0
−
3
=
5
.
7
6
⋅
1
0
0
0
1
=
0
.
0
0
5
7
6
Slide 13 - Diapositive
How do I write in the scientific notation?
Example:
7,890,000,000 =
Slide 14 - Diapositive
How do I write in the scientific notation?
Example:
7,890,000,00
0
=
Slide 15 - Diapositive
How do I write in the scientific notation?
Example:
7,890,000,0
00
=
Slide 16 - Diapositive
How do I write in the scientific notation?
Example:
7,890,000,
000
=
Slide 17 - Diapositive
How do I write in the scientific notation?
Example:
7,890,
000,000
=
Slide 18 - Diapositive
How do I write in the scientific notation?
Example:
7,
890
,
000,000
=
Slide 19 - Diapositive
How do I write in the scientific notation?
Example:
7,890,000,000 =
7
.
8
9
⋅
1
0
9
Slide 20 - Diapositive
Write 257,300,000 in the scientific notation
Slide 21 - Question ouverte
What about smaller numbers?
5
.
7
6
⋅
1
0
−
3
Slide 22 - Diapositive
What about smaller numbers?
5
.
7
6
⋅
1
0
−
3
=
5
.
7
6
⋅
1
0
0
0
1
Slide 23 - Diapositive
What about smaller numbers?
5
.
7
6
⋅
1
0
−
3
=
5
.
7
6
⋅
1
0
0
0
1
=
0
.
0
0
5
7
6
Slide 24 - Diapositive
What about smaller numbers?
Conclusion: makes the decimal point go to the LEFT
makes the decimal point go to the RIGHT
5
.
7
6
⋅
1
0
−
3
=
5
.
7
6
⋅
1
0
0
0
1
=
0
.
0
0
5
7
6
1
0
n
e
g
a
t
i
v
e
1
0
p
o
s
i
t
i
v
e
Slide 25 - Diapositive
Write 0.00000009347 in the scientific notation
Slide 26 - Question ouverte
Why use scientific notation?
- Shorter
- Easier
- Less errors
- Clearer
- Science
Slide 27 - Diapositive
Homework:
Slide 28 - Diapositive
Conclusion
Slide 29 - Diapositive
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