1. Standard notation to Scientific Notation
Lesson 4a-9

2. Math Vocabulary Review
Scientific Notation: Shorthand way of writing numbers that are very large, and using the powers of 10 ex: x 10⁸

3. Standard Notation to Scientific Notation
When changing standard notation to scientific notation…
Determine where original decimal started
*(always after 1st non-zero digit)
Identify direction [of movement] original spot moved to given spot
Count # of moves from original spot to given spot
Direction = (+) or (-) exponent
# of moves = exponent

4. Standard Notation to Scientific Notation
Change to standard form:
Place of original decimal pt?
Direction of original to given?
# of moves?
x 10⁷
Change to standard form:
7563.2
Place of original decimal pt?
Direction of original to given?
# of moves?
7.5632
x 10³

5. Standard Notation to Scientific Notation
Change to standard form:
Place of original decimal pt?
Direction of original to given?
# of moves?
03.876
x 10ˉ²
Change to standard form:
Place of orginal decimal pt?
Direction of original to given?
# of moves?
5.31 x 10ˉ⁶

6. Practice… Change each to standard form: 823.61 45,000,000,000

7. Homework
p. 212 #1-8, 14, 15, 22, 23