Solutions, examples, videos, and lessons to help Grade 8 students learn to
how to use numbers expressed in the form of a single digit times an integer power of
10 to estimate very large or very small quantities, and to express how many times as
much one is than the other.

*For example, estimate the population of the
United States as 3 × 10*^{8} and the population of the world as
7 × 10^{9}, and determine that the world population is more than 20 times larger.

Common Core: 8.EE.3

### Suggested Learning Targets

** Estimating Using Scientific Notation (8.EE.3)**

Scientific Notation for Large Numbers.

Scientific Notation for Small Numbers.

Comparing Numbers.

Example:

The planet Lukon has 2 neighboring planets. Planet A is 9 x 10^{7} miles away, and Planet B is 3 x 10^{4} miles away. How many times further away is Planet A than Planet B?
**Positive Scientific Notation**

Examples:

Change these numbers into scientific notation.

56,900,000

267,000

46,205,000

Change these numbers into standard form

5.07 x 10^{4}

3.2 x 10^{12}
1.55 x 10^{6}
**Negative Scientific Notation**

**Ordering Numbers in Scientific Notation**

Example:

Order from Least to Greatest

0,052 x 10^{7}, 5.2 x 10^{5}, 53.2 x 10, 534

9 x 10^{-7}, 8 x 10^{-8}, 7 x 10^{-6}, 6 x 10^{-10}

50.1 x 10^{-3}, 4.8 x 10^{-1}, 0.52 x 10^{-3}, 56 x 10^{-2}

0.53 x 10^{7}, 5300 x 10^{-1}, 5.3 x 10^{5}, 530 x 10^{8}
**Compare numbers in scientific notation**

Example:

How much greater is:

6 x 10^{5} than 2 x 10^{3}

8.4 x 10^{9} than 2.1 x 10^{8}
**Scientific Notation**

- I can express numbers as a single digit times an integer power of 10 (Scientific Notation).
- I can use scientific notation to estimate very large and/or very small quantities.
- I can compare quantities to express how much larger one is compared to the other.

Scientific Notation for Large Numbers.

Scientific Notation for Small Numbers.

Comparing Numbers.

Example:

The planet Lukon has 2 neighboring planets. Planet A is 9 x 10

Examples:

Change these numbers into scientific notation.

56,900,000

267,000

46,205,000

Change these numbers into standard form

5.07 x 10

3.2 x 10

Example:

Order from Least to Greatest

0,052 x 10

9 x 10

50.1 x 10

0.53 x 10

Example:

How much greater is:

6 x 10

8.4 x 10

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