2.1 Powers of Ten

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This lesson contains 32 slides, with interactive quizzes, text slides and 3 videos.

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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 \cdot 10

630 = 6.3 \cdot 10 \cdot 10 = 6.3 \cdot 10^{​ 2 ​ ​}

6300000 = 6.3 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10 \cdot 10

= 6.3 \cdot 10^{​ 6 ​ ​}

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standard form

712000000000000000

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scientific notation

7.12 \cdot 10^{​ 17 ​ ​}

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Which number is written in scientific notation?

27.8 \cdot 10^{​ 5 ​ ​}

5 \cdot 10^{​ 11 ​ ​}

312 \cdot 10^{​ 3 ​ ​}

Slide 12 - Quiz

Which number is written in scientific notation?

55000

65 \cdot 10

1.8 \cdot 10^{​ 5112 ​ ​}

Slide 13 - Quiz

convert to standard form

3.12 \cdot 10^{​ 9 ​ ​}

Slide 14 - Open question

convert to standard form

1.7 \cdot 10^{​ 5 ​ ​}

Slide 15 - Open question

Slide 16 - Video

scientific notation - small numbers

0.00000000652 = 6.52 \cdot 10^{​ - 9 ​ ​}

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0.63 = \frac{​ ( 6 . 3 ) ​ ​}{​ 1 0 ​} = 6.3 \cdot 10^{​ - 1 ​ ​}

0.063 = \frac{​ ( 6 . 3 ) ​ ​}{​ 1 0 \cdot 1 0 ​} = 6.3 \cdot 10^{​ - 2 ​ ​}

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0.0000000000063 = 6.3 \cdot 10^{​ - 12 ​ ​}

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"regular" number = standard form

0.0000015

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Wetenschappelijke notatie

1.5 \cdot 10^{​ - 6 ​ ​}

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0.00235

235 \cdot 10^{​ - 7 ​ ​}

2.35 \cdot 10^{​ - 5 ​ ​}

2.35 \cdot 10^{​ - 3 ​ ​}

2.35

Slide 22 - Quiz

Is this written in scientific notation?

21.3 \cdot 10^{​ - 5 ​ ​}

yes

Slide 23 - Quiz

Is this written in scientific notation?

9.18 \cdot 10^{​ - 5 ​ ​}

yes

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Slide 31 - Video

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2.1 Powers of Ten

Items in this lesson

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Slide 12 - Quiz

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Slide 14 - Open question

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Slide 16 - Video

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