1. Section 8.2 Scientific Notation

2. is written in the form: a x 10n Where n is an integer a is between
Scientific Notation
is written in the form:
a x 10n
Where n is an integer
a is between
<10

3. Is each number written in scientific notation? If not, explain.
Lesson 8-2
Additional Examples
Is each number written in scientific notation? If not, explain.
a  104
No; is less than 1.
b  10–2
yes
c  106
No; is greater than 10.

4. Write each number in scientific notation.
Lesson 8-2
Additional Examples
Write each number in scientific notation.
a. 234,000,000
Move the decimal point 8 places to the left and use 8 as an exponent.
234,000,000 =
Drop the zeros after the 4.
2.34  108 b
Move the decimal point 5 places to the right and use –5 as an exponent. =
6.3  10–5
Drop the zeros before the 6.

5. Write each number in standard notation.
Scientific Notation
Lesson 8-2
Additional Examples
Write each number in standard notation.
a. elephant’s mass: 8.8  104 kg
8.8  104 =
A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right.
= 88,000
b. ant’s mass: 7.3  10–5 kg  
7.3  10–5 =
A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left. =

6. Write each number in scientific notation.
Lesson 8-2
Additional Examples
Order  105, 6.03  104, 6103, and 63.1  103 from least to greatest.
Write each number in scientific notation.
   103
6.3     104
Order the powers of 10. Arrange the decimals with the same power of 10 in order.
6.3     104
Write the original numbers in order.
   103

7. Simplify. Write each answer using scientific notation.
Lesson 8-2
Additional Examples
Simplify. Write each answer using scientific notation.
(6 • 8)  10–4 = a.
6(8  10–4)
= 48  10–4
Simplify inside the parentheses.
= 4.8  10–3
Write the product in scientific notation.
(0.3 • 1.3)  103 = b.
0.3(1.3  103)
= 0.39  103
Simplify inside the parentheses.
= 3.9  102
Write the product in scientific notation.

8. Homework Pg
2-32evens 44