Scientific Notation and Dimensional Analysis

A systematic approach to problem solving that uses conversion factors to move from one unit to another

• dimensional analysis
• conversion factor
• scientific notation
• percent error

Expresses any number as a number between 1 and 10 (known as a coefficient) multiplied by 10 raised to a power (known as an exponent). Makes it easier to write large or small quantities.

• metric system

• scientific notation

• standard notation

• dimensional analysis

You know 1000 mg = 1 g.  Convert 2.5 grams into milligrams.

• 25 mg
• 25,000 mg
• 250 mg
• 2500 mg

Convert 3.5 gallons into cups. (1gal = 16cups)

• 56 cups

• 0.21875 cups

• 19.5 cups

• 48 cups

What is scientific notation?

• A long way to write really short  numbers
• A short way to write really long numbers
• I don't know...
• None of the above

Tags

CCSS.8.EE.A.3

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number
• you will get a small number

Tags

CCSS.HSA.APR.A.1

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number
• you will get a smaller number

Tags

CCSS.8.EE.A.1

How would you write 4.3756 x 10⁴ in standard form?

• 437,560,000
• 0.00043756
• 43,756
• 4,3756

Tags

CCSS.8.EE.A.3

How would you write 0.0005 in scientific notation?

• 50 x 10⁵

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

Write the answer in scientific notation.
5 x 10⁸ -   3.4 x 10⁸  =

• 2.4 x 10⁸
• 2.4 x 10⁰
• 1.6 x 10⁰
• 1.6 x 10⁸