Algebra 1Algebra 1

Section 8.2 Scientific NotationSection 8.2 Scientific Notation

Algebra 1Algebra 1

Scientific NotationScientific Notation

is written in the form:

a x 10n

Where n is an integer

a is between

1 <10 a

Algebra 1Algebra 1Lesson 8-2

Is each number written in scientific notation? If not, explain.

a. 0.46 104 No; 0.46 is less than 1.

b. 3.25 10–2 yes

c. 13.2 106 No; 13.2 is greater than 10.

Scientific NotationScientific Notation

Additional Examples

Algebra 1Algebra 1

Write each number in scientific notation.

a. 234,000,000

Drop the zeros after the 4.

2.34 108

b. 0.0000636.3 10–5

Drop the zeros before the 6.

Lesson 8-2

Move the decimal point 8 places to the left and use 8 as an exponent. 234,000,000 =

Move the decimal point 5 places to the right and use –5 as an exponent.0.000063 =

Scientific NotationScientific Notation

Additional Examples

Algebra 1Algebra 1

Write each number in standard notation.

a. elephant’s mass: 8.8 104 kg

= 88,000

b. ant’s mass: 7.3 10–5 kg  

= 0.000073

Lesson 8-2

8.8 104 = A positive exponent indicates a number greater than 10. Move the decimal point 4 places to the right.

8.8000.

7.3 10–5 = A negative exponent indicates a number between 0 and 1. Move the decimal point 5 places to the left.

0.00007.3

Scientific NotationScientific Notation

Additional Examples

Algebra 1Algebra 1

Order 0.0063 105, 6.03 104, 6103, and 63.1 103 from

least to greatest.

Write each number in scientific notation.

0.0063 105 6.03 104 6103 63.1 103

6.3 102 6.03 104 6.103 103 6.31 104

Order the powers of 10. Arrange the decimals with the same power of 10

in order.

6.3 102 6.103 103 6.03 104 6.31 104

Write the original numbers in order.

0.0063 105 6103 6.03 104 63.1 103

Lesson 8-2

Scientific NotationScientific Notation

Additional Examples

Algebra 1Algebra 1

Simplify. Write each answer using scientific notation.

Lesson 8-2

6(8 10–4)a.

= 48 10–4 Simplify inside the parentheses.

= 4.8 10–3 Write the product in scientific notation.

0.3(1.3 103)b.

= 0.39 103 Simplify inside the parentheses.

= 3.9 102 Write the product in scientific notation.

Scientific NotationScientific Notation

(6 • 8) 10–4=

(0.3 • 1.3) 103=

Additional Examples

Algebra 1Algebra 1

Homework Homework

Pg438-439

2-32evens

44