### Concept (1)

In the applied sciences, scientific notation is often employed as a method of notation for ease of writing and reading. When dealing with real world situations, the numbers we get as solutions are rarely whole numbers and scientific notation gives us rules to follow when using ugly numbers that have a lot of decimal places. In order to understand scientific notation, we must also have a solid understanding of exponents.

### Sample Problems (8)

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Write each number in scientific notation:

a) 15,600,000
b) 0.000053
c) 0.00005
###### Problem 1
How to change a number in standard notation into scientific notation..

Write each number in standard notation:

a) 9.0 × 10⁻⁸
b) 5.24 × 10⁵
###### Problem 2
How to change a number in scientific notation into standard notation.

Write 8(7.1 × 10⁻⁵) in scientific and standard notation.

###### Problem 3
How to evaluate products involving scientific notation.
###### Problem 4
Dividing numbers written in scientific notation.
###### Problem 5
How to type scientific notation into a graphing or scientific calculator.
###### Problem 6
How to change a number from standard form to scientific notation.
###### Problem 7
Finding products and quotients of numbers given in scientific notation.
###### Problem 8
How to re-write scientific notation in standard form by moving the decimal point.