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zlopas [31]
3 years ago
14

The approximate value of 5.5 million x 1.9 thousand is(scientific notation)

Mathematics
1 answer:
Andreas93 [3]3 years ago
5 0
The answer is:  " <span>1.045 * 10¹⁰  " .</span>
_____________________________________
Explanation:
______________________________________
 "5.5 million = 5,500,000 = 5.5 * 10 ⁶ "  ;
______________________________________
 "1.9 thousand = 1,900 = 1.9 * 10³  "   ;
______________________________________
   So;  "<span>5.5 million * 1.9 thousand" ; 
_________________________________________
  =  (</span>5.5 * 10 ⁶) * (1.9 * 10³) =  5.5 * 10⁶ * 1.9 * 10³ ;
 
     =  5.5 * 1.9 * 10⁶ * 10³ ;
 ___________________________________________
    Note the following properties of exponents:
____________________________________________
    xᵃ * xᵇ  =  x⁽ᵃ⁺ᵇ⁾ ;
____________________________________________

As such, " 10⁶ * 10³  = 10⁽ ⁶ ⁺ ³⁾  = 10⁹ " ; 
_____________________________________
So; rewrite:  
______________________________________
5.5 * 1.9 * 10⁶ * 10³  ;
_______________________________________
= 5.5 * 1.9 * 10⁹   ;
__________________________________
    5.5 * 1.9 = 10.45 ;
__________________________________
Rewrite as:  " 10.45 * 10⁹ " ;

In scientific notation, we need to rewrite as an single digit integer, followed by a decimal and other values (if applicable); following by * 10 raised to the appropriately adjusted exponential power.
_________________________________________________
As such, we write the value as:
________________________________________________
   " 1.045 * 10¹⁰  " . 
________________________________________________
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========================================================

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