Section 8-2
I can perform operations
with scientific notation
Scientific Notation
Check Skills You’ll Need
Simplify Each Expression.
1.
2.
3.
4.
5.
6.
7.
Simplify
The planet Jupiter has an average radius of 69, 111 km. What is Jupiter’s volume?
Since Jupiter is a sphere, to answer this question we can use the formula for the volume of a
sphere.
Calculator: __________________________
Scientific notation is a _______________________ way to write very large or very small numbers.
Definition
Scientific Notation
A number in scientific notation is written as the product of two factors in the form
, where n is an integer and
.
Example #1
Recognizing Scientific Notation
Is each number written in scientific notation? If not, explain?
a.
b.
c.
You try…
a.
b.
c.
In scientific notation, you use _________________ exponents to write a number greater than 1.
You use _________________ exponents to write a number between 0 and 1.
Example #2
Writing a Number in Scientific Notation
Write each number in scientific notation.
a.
b.
You try…
a.
b.
Example #3
c.
d.
Writing a Number in Standard Notation
Write each number in standard notation.
a.
An elephant’s mass:
You try…
a.
kg
b.
b.
An ant’s mass:
c.
kg
d.
You can compare and order numbers in scientific notation. First compare the powers of 10, and
then compare the decimals.
Example #4
Real-World Problem Solving
List the planets in order of their distance from the sun from least to greatest.
Jupiter:
Earth:
Neptune:
Mercury:
You try…
The following masses of parts of an atom are measured in grams. Order the parts of
an atom from least to greatest.
Neutron:
Electron:
Proton:
Example #5
Order
Using Scientific Notation to Order Numbers
from least to greatest.
You try…
Order
from least to greatest.
Example #6
Multiplying a Number in Scientific Notation
Simplify. Write each answer using scientific notation.
a.
b.
You try…
a.
b.
Example #7
Simplify
You try…
Multiplying Numbers in Scientific Notation
. Write the answer in scientific notation.
a.
b.
Example #8
Simplify
You try…
Simplifying a Number in Scientific Notation to a Power
. Write the answer in scientific notation.
a.
b.
Example #9
Simplify
You try…
Homework:
Dividing Numbers in Scientific Notation
. Write the answer in scientific notation.
a.
b.
Pg.
Pg.
Pg.
Pg.
438
444
450
456
#1-39 Odds, 42-44 All
#48-54 Evens
#23-31 Odds
#13-19 Odds, 20