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im learning about scientific notation in math, one of the problems is to express this product in scientific notation(4×103×2×102)=800000  i just wanted to know if 800,000 is the correct answer. If it is how would i show my work?

 Nov 6, 2014

Best Answer 

 #1
avatar+23254 
+5

There are two ways that you can get the answer:

One way:  remove the powers:

     4 x 10³ =  4000         and         2 x 10²  =  200         and            4000 x 200  =  800 000

Other way:  when you multiply two numbers that have the same base, add the exponents:

    4 x 10³ x 2 x 10²   =  4 x 2 x 10³ x 10²  =  8 x 10^5  =  800 000

    because the exponents were added (2 + 3 = 5). 

 Nov 7, 2014
 #1
avatar+23254 
+5
Best Answer

There are two ways that you can get the answer:

One way:  remove the powers:

     4 x 10³ =  4000         and         2 x 10²  =  200         and            4000 x 200  =  800 000

Other way:  when you multiply two numbers that have the same base, add the exponents:

    4 x 10³ x 2 x 10²   =  4 x 2 x 10³ x 10²  =  8 x 10^5  =  800 000

    because the exponents were added (2 + 3 = 5). 

geno3141 Nov 7, 2014

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