Post on 02-Jan-2016
Section 8 – 2 Scientific Notation
Objectives:To write numbers in scientific and standard notation
To use scientific notation
Scientific NotationA number in scientific notation is written as a product of two factors in the form ,
where n is an integer and 1 ≤ a < 10.
Examples:
Example 1 Recognizing Scientific Notation
Is each number written in scientific notation. Why or Why Not?
Example 2 Writing a Number in Scientific Notation
Write each number in scientific notation.
A) 56,900,000
B) 267,000
C) 0.00985
D) 0.0568
Example 3 Writing a Number in Standard Notation
Write each number in standard notation.
A) The temperature at the sun’s core: kelvins.
B) The lowest temperature recorded in a lab: kelvin.
Example 4 Real-World Problem solving
A) List the planets in order from least to greatest mass.
Uranus Neptune Saturn Jupiter
B) List the planets in order of their distance from the sun from least to greatest.
Jupiter Earth Neptune Mercury
Example 5 Using Scientific Notation to Order
NumbersA) Order the following numbers in order from greatest to least.
Example 5 Using Scientific Notation to Order
NumbersB) Order the following numbers in order from greatest to least.
0
Example 5 Using Scientific Notation to Order
NumbersC) Order the following numbers in order from greatest to least.
Example 6 Multiplying a Number in Scientific Notation
Simplify. Write each answer using scientific notation.