Q:

Which of the following should be done to write the number 1.65 × 102 in standard notation?THE CHOICES:move the decimal 2 places to the leftmove the decimal 2 places to the rightmove the decimal 10 places to the leftmove the decimal 10 places to the right

Accepted Solution

A:
The correct answer is:  [B]:  "move the decimal 2 places to the right" .
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Note: We are given the following number, in "exponential notation";
          or, "scientific notation" ;   " 1.65 * 10² " .

The " * 10² " ; indicates (* ten raised to the positive two")  ; which indicates that we are to move the decimal point of "1.65" ; TWO places to the "right" ; to rewrite the number in "standard form".  Thus, "1.65 * 10² = 165" .

      Also, we know that:  "10² = 10 * 10 = 100" .

Thus, "1.65 * 10² = 1.65 * 100 = 165".

{that is:  "1.65 * 100 = ? " ?

     → We move the decimal point, on the value of "1.65" , TWO places forward; or; "to the right" ;
         since we are multiplying by "100" ; and "100" has "2 (two) zeros" ;

     → thus;  "1.65 * 100 = 1.65" .
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