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Name _______________________________________ Date __________________ Class __________________
LESSON
4-4
Review for Mastery
Scientific Notation
Standard Notation
(
430,000
0.0000057
Scientific Notation
1st factor is
between 1 and 10.
2nd factor is an
integer power of 10.
4.3  105
5.7  106
positive integer for large number
negative integer for small number
)(
)
To convert from scientific notation, look at the power of 10 to tell
how many places and which way to move the decimal point.
Complete to write each in standard notation.
1. 4.12  106
2. 3.4  10-5
Is the exponent positive or negative?
_______________
_______________
Move the decimal point right or left?
How many places?
_______________
_______________
Write the number in standard notation.
_______________
_______________
Write each number in standard notation.
3. 8  105
____________________________________
4. 7.1  10-4
5. 3.14  108
____________________________________
___________________________________
To convert to scientific notation, determine the coefficient between 1 and
10. Then determine the power of 10 by counting from the decimal
point in the coefficient to the decimal point in the given number.
Complete to write each in scientific notation.
6. 32,000,000
7.
0.0000000712
What is the coefficient?
_______________
________________
From its location in the coefficient, which
way must the decimal move to its location
in the given number? How many places?
_______________
________________
Write the number in scientific notation.
_______________
________________
Write each number in scientific notation.
8. 41,000,000
____________________________________
9. 0.0000000643
____________________________________
10. 1,370,000,000
___________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
36
Holt McDougal Mathematics
Name _______________________________________ Date __________________ Class __________________
4.4 Scientific vs. Standard Homework
1. How can you tell if a number is in scientific notation?
2. Complete the missing information in the table.
Standard Form
1,230,000,000
Scientific Notation
7.459 * 10-5
2 * 108
.0000009
8.05 * 107
-0.0034
63,910,000
3.331 * 10-4
-2.081 * 105
.0000147
3. Circle the numbers that are in scientific notation below. If they are NOT in scientific
notation, rewrite them so that they are.
a. 12.8 * 105
b. 5.06 * 10-4
c. 8 * 107
d. .93 * 10-6
e. 308 * 10-5
f. 10.2 * 107
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
37
Holt McDougal Mathematics