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Grade 9:  The Learning Equation Math

12.04 Scientific Notation

Numbers

Number Operations

Refresher pp 24-25

 

SeekAWord2ech.class Author

Prerequisite Skills:

 

Key Terms                 

standard notation, scientific notation, power of ten

Interactive Component Under Construction

 

Learning Objectives:

The student will:

 

 

Power and Power Properties Review

Powers Review

 

Laws of Exponents 1 Review

 

Laws of Exponents 2

 

Laws of Exponents 3 Part 1

 

Laws of Exponents 3 Part 2

 

 

 
Press Reload/Refresh if calculator does not function.
Follow the directions to learn how to convert from scientific notation to whole numbers using the scientific calculator, then make your own examples.
4.8 x 10-3 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB2.jpg (775 bytes) wpe59.jpg (777 bytes) wpeB3.jpg (732 bytes) 0.0048
4.8 x 10-4 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB6.jpg (768 bytes) wpe5A.jpg (777 bytes) wpeB3.jpg (732 bytes) 0.00048
4.8 x 10-5 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB7.jpg (773 bytes) wpe5B.jpg (777 bytes) wpeB3.jpg (732 bytes) 0.000048
4.8 x 10-6 = 4.8 wpeAF.jpg (718 bytes) 10 wpeB1.jpg (772 bytes) wpeB8.jpg (765 bytes) wpe5C.jpg (777 bytes) wpeB3.jpg (732 bytes) 0.0000048

 

Practice Tests - Scientific Notation

Scientific Notation in Everyday Life

An Exponential Notation Meta Page

 

Review:

Scientific Notation

Change a number to scientific notation

 

 843 000 000 = 8.43 x 108

843 000 = 8.43 x 105

843 = 8.43 x 102

84.3 = 8.43 x 101

8.43 = 8.43 x 100

 Scientific notation is a product of a number between 1 and 10 and a power of 10.
Change scientific notation to a number

 

 5.69 x 100 =  5.69

5.69 x 101 =  56.9

5.69 x 102 =  569

5.69 x 103 =  5690

5.69 x 104 =  56 900

 Scientific notation is a product of a number between 1 and 10 and a power of 10.

Scientific notation has the following form:

N X 10x

where N is a number greater than 1 but less than 10 and

x is an exponent of a power with base 10.

Scientific notation is a convenient way of writing very large or very small numbers:

Standard Form Scientific Notation
153 000 000 000 000 1.53 x 1014
49 000 000 000 000 000 000 4.9 x 1019
93 000 000 9.3 x 107
0.000 000 000 131 1.31 x 10-10
0.000 000 000 000 002 354 2.354 x 10-15
0.000 000 25 2.5 x 10-7

Try this!!

  

 

 

Exponent Laws

  • ^ refers to an exponent.  3^3 refers to 32.
  • use / to represent divide and * to represent multiply.
  • use + and - for add and subtract.
  • any letter can be used as a variable.

product law

xmxn = xm+n

power of a product law

(xy)m = xm  ym

power of a power law

(xm)n =xmn

quotient law

xm/ xn = xm-n

power of a quotient law

(x/y)m = xm ym

1/x-m = xm

QuickMath Automatic Math Solutions - permission to place on page and link to their site

Converting to and from scientific notation

Decimal to Scientific Conversion

Scientific to Decimal Conversion

 

Enrichment:

Scientific Notation Product Calculator

This selection will show you how to multiply together two numbers in scientific notation.

Multiply two numbers:

  • both in scientific notation

  • with only one of them in scientific notation

Multiplying Numbers in Scientific Notation

 

Scientific Notation Dividing Calculator

This selection will show you how to divide two numbers in scientific notation.

Divide two numbers:

  • both in scientific notation

  • with only one of them in scientific notation

Dividing Numbers in Scientific Notation

 

 

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