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Hi, what is (0.0042) (280,000)/4,900,000 in Scientific Notation?

Is it 2.4 x 10^-5? Not sure how to do it.

 Jan 31, 2015

Best Answer 

 #3
avatar+128475 
+5

(0.0042) (280,000)/4,900,000=

(4.2 x 10-3) (2.8 x 105)/ (4.9 x 106) =

(4.2)(2.8)/(4.9) x 10-3 x 105 x 10-6=

(4.2)(2.8)/(4.9) x 10-4

2.4 x 10-4

 

 Jan 31, 2015
 #1
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its 24 000 smeg head

 Jan 31, 2015
 #2
avatar+118609 
+5

(0.0042) (280,000)/4,900,000

 

$$\\=\frac{42*10^{-4}\;\;\times\;\;28*10^4}{49*10^5}\\\\
$divide top and bottom by 7$\\\\
=\frac{6*10^{-4}\;\;\times\;\;28*10^4}{7*10^5}\\\\
$divide top and bottom by 7 again$\\\\
=\frac{6*10^{-4}\;\;\times\;\;4*10^4}{10^5}\\\\
=\frac{6*4*10^{-4}*10^4}{10^5}\\\\
=\frac{24*10^{-4+4}}{10^5}\\\\
=\frac{24}{100000}\\\\
or\\\\
=24*10^{-5}\\\\
=2.4*10^1*10^{-5}\\\\
=2.4*10^{-4}$$

 

My answer is different from what you were expecting - I cannot spot a mistake bur maybe someone else can 

 Jan 31, 2015
 #3
avatar+128475 
+5
Best Answer

(0.0042) (280,000)/4,900,000=

(4.2 x 10-3) (2.8 x 105)/ (4.9 x 106) =

(4.2)(2.8)/(4.9) x 10-3 x 105 x 10-6=

(4.2)(2.8)/(4.9) x 10-4

2.4 x 10-4

 

CPhill Jan 31, 2015

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