2.1 Powers of Ten

2.1 Powers of Ten
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2.1 Powers of Ten

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Scientific Notation - a shorter way to write really big or really small numbers.

Standard Form - a regular number.

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Scientific notation - big numbers

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Powers of ten 10
63=6.3⋅10
630=6.3⋅10⋅10=6.3⋅10​2​​
6300000=6.3⋅10⋅10⋅10⋅10⋅10⋅10
=6.3⋅10​6​​

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standard form
712000000000000000

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scientific notation
7.12⋅10​17​​

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Which number is written in scientific notation?
A
27.8⋅10​5​​
B
5⋅10​11​​
C
312⋅10​3​​

Slide 12 - Quiz

Which number is written in scientific notation?
A
55000
B
65⋅10
C
1.8⋅10​5112​​

Slide 13 - Quiz

convert to standard form
3.12⋅10​9​​

Slide 14 - Open question

convert to standard form
1.7⋅10​5​​

Slide 15 - Open question

Slide 16 - Video

scientific notation - small numbers
0.00000000652=6.52⋅10​−9​​

Slide 17 - Slide

0.63=​10​​(6.3)​​=6.3⋅10​−1​​
0.063=​10⋅10​​(6.3)​​=6.3⋅10​−2​​

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0.0000000000063=6.3⋅10​−12​​

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"regular" number = standard form
0.0000015

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Wetenschappelijke notatie
1.5⋅10​−6​​

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0.00235
A
235⋅10​−7​​
B
2.35⋅10​−5​​
C
2.35⋅10​−3​​
D
2.35

Slide 22 - Quiz

Is this written in scientific notation?
21.3⋅10​−5​​
A
yes
B
no

Slide 23 - Quiz

Is this written in scientific notation?
9.18⋅10​−5​​
A
yes
B
no

Slide 24 - Quiz

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Slide 31 - Video

Slide 32 - Video