Warm UpSimplify each expression.

1) 2)

3) 4)

Section 8 – 2 Scientific Notation

Objectives:To write numbers in scientific and standard notation

To use scientific notation

Jupiter has a radius of 69,111km. Using the formula & your calculator find the Volume of Jupiter.

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

Write each number in scientific notation.

E) 0.0000325

F) 46,205,000

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.

Write each number in standard notation.

C)

D)

E)

F)

Homework

Section 8 – 2 Continued…

Objectives:To use scientific notation

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.

Simplify. Write each number in scientific notation.

C)

D)

E) 8