2.1 Powers of Ten

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This lesson contains 26 slides, with interactive quizzes, text slides and 1 video.

Items in this lesson

Slide 1 - Slide

Scientific Notation

At the end of the lesson, students can write big numbers in scientific notation or the other way around.

Slide 2 - Slide

Slide 3 - Slide

Powers of ten 10

63 = 6.3 x 10

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

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

= 6.3 x 10^{​ 6 ​ ​}

Slide 4 - Slide

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

Standard Form - a regular number.

Slide 5 - Slide

standard form

5 870 000 000 000

Slide 6 - Slide

scientific notation

5.87 x 10^{​ 12 ​ ​}

Slide 7 - Slide

Which number is written in scientific notation?

27.8 \cdot 10^{​ 5 ​ ​}

5 \cdot 10^{​ 11 ​ ​}

312 \cdot 10^{​ 3 ​ ​}

Slide 8 - Quiz

Which number is written in scientific notation?

55000

65 \cdot 10

1.8 \cdot 10^{​ 5112 ​ ​}

Slide 9 - Quiz

change to standard form

3.12 x 10^{​ 9 ​ ​}

Slide 10 - Open question

convert to standard form

1.7 x 10^{​ 5 ​ ​}

Slide 11 - Open question

Slide 12 - Video

scientific notation - small numbers

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

Slide 13 - Slide

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 ​ ​}

Slide 14 - Slide

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

Slide 15 - Slide

"regular" number = standard form

0.0000015

Slide 16 - Slide

Scientific Notation

1.5 \cdot 10^{​ - 6 ​ ​}

Slide 17 - Slide

0.00235

235 \cdot 10^{​ - 7 ​ ​}

2.35 \cdot 10^{​ - 5 ​ ​}

2.35 \cdot 10^{​ - 3 ​ ​}

2.35

Slide 18 - Quiz

Is this written in scientific notation?

21.3 \cdot 10^{​ - 5 ​ ​}

yes

Slide 19 - Quiz

Is this written in scientific notation?

9.18 x 10^{​ - 5 ​ ​}

yes

Slide 20 - Quiz

Can someone give the idea/summary of scientific notation?

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2.1 Powers of Ten

Items in this lesson

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Slide 2 - Slide

Slide 3 - Slide

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Slide 6 - Slide

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Slide 8 - Quiz

Slide 9 - Quiz

Slide 10 - Open question

Slide 11 - Open question

Slide 12 - Video

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Slide 18 - Quiz

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