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College Algebra
Answer/Discussion to Practice Problems 
Tutorial 3: Scientific Notation


WTAMU > Virtual Math Lab > College Algebra > Tutorial 3: Scientific Notation


 

Answer/Discussion to 1a


 
Step 1:  Move the decimal point so that you have a number that is between 1 and 10.

 
*Decimal is at the end of the number
 

*Move decimal to create a number between 1 and 10


 
Step 2:   Count the number of decimal places moved in Step 1 .

 
How many decimal places did we end up moving?
We started at the end of the number 123400 and moved it between the 1 and 2.  That looks like a move of 5 places.

What direction did it move?
Looks like we moved it to the left.

So, our count is +5.


 
Step 3:   Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).

 

 
Note how the number we started with is a bigger number than the one we are multiplying by in the scientific notation.  When that is the case, we will end up with a positive exponent.

 
(return to problem 1a)


 

Answer/Discussion to 2a


 

*Move the decimal 6 to the left

 
(return to problem 2a)


 

Answer/Discussion to 3a


 

*When mult. like bases you add your exponents: 7 + (-2) = 5

*Move the decimal 5 to the right
 


 
(return to problem 3a)


 

Answer/Discussion to 3b


 
*When div. like bases you subtract your exponents: -4 - 9 = -13
 

*Move the decimal 13 to the left
 


 
(return to problem 3b)

 

 

WTAMU > Virtual Math Lab > College Algebra > Tutorial 3: Scientific Notation


All contents copyright (C) 2002 - 2008, WTAMU and Kim Seward. All rights reserved.
Last revised on Feb. 15, 2008 by Kim Seward.