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and
Scientific
Notation
7-2
Powers
and
Scientific
Notation
7-2 Powers
Warm Up
Lesson Presentation
Lesson Quiz
Holt
Algebra
Holt
Algebra
11
7-2 Powers of 10 and Scientific Notation
Objectives
Evaluate and multiply by powers of 10.
Convert between standard notation and
scientific notation.
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Vocabulary
standard notation
scientific notation
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Example 1: Evaluating Powers of 10
Find the value of each power of 10.
A. 10–6
Holt Algebra 1
B. 104
C. 109
7-2 Powers of 10 and Scientific Notation
Check It Out! Example 1
Find the value of each power of 10.
a. 10–2
b. 105
c. 1010
Start with 1
and move the
decimal point
two places to
the left.
0.01
Start with 1
and move the
decimal point
five places to
the right.
100,000
Start with 1
and move the
decimal point
ten places to
the right.
10,000,000,000
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Example 2: Writing Powers of 10
Write each number as a power of 10.
A. 1,000,000
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B. 0.0001
C. 1,000
7-2 Powers of 10 and Scientific Notation
Scientific notation is a method of writing
numbers that are very large or very small. A
number written in scientific notation has two
parts that are multiplied.
The first part is a number that is greater than or equal
to 1 and less than 10.
The second part is a power of 10.
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Example 4A: Astronomy Application
Saturn has a diameter of about
Its distance from the Sun is about
1,427,000,000 km.
km.
Write Saturn’s diameter in standard form.
120000
120,000 km
Holt Algebra 1
Move the decimal point 5 places to
the right.
7-2 Powers of 10 and Scientific Notation
Example 4B: Astronomy Application
Write Saturn’s distance from the Sun in
scientific notation.
Count the number of places
1,427,000,000
you need to move the
decimal point to get a
1,4 2 7,0 0 0,0 0 0
number between 1 and 10.
9 places
1.427  109 km
Holt Algebra 1
Use that number as the
exponent of 10.
7-2 Powers of 10 and Scientific Notation
Example 5: Comparing and Ordering Numbers in
Scientific Notation
Order the list of numbers from least to greatest.
Step 1 List the numbers in order by powers of 10.
Step 2 Order the numbers that have the same
power of 10
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Check It Out! Example 5
Order the list of numbers from least to greatest.
Step 1 List the numbers in order by powers of 10.
2  10-12, 4  10-3, 5.2  10-3, 3  1014, 4.5  1014,
4.5  1030
Step 2 Order the numbers that have the same
power of 10
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Lesson Quiz: Part I
Find the value of each expression.
1.
3,745,000
2.
0.00293
3. The Pacific Ocean has an area of about 6.4 х 107
square miles. Its volume is about 170,000,000
cubic miles.
a. Write the area of the Pacific Ocean in standard
form.
b. Write the volume of the Pacific Ocean in scientific
notation. 1.7  108 mi3
Holt Algebra 1
7-2 Powers of 10 and Scientific Notation
Lesson Quiz: Part II
Find the value of each expression.
4. Order the list of numbers from least to
greatest
Holt Algebra 1