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
Question
Answer:
The correct answer is: [B]: "move the decimal 2 places to the right" .__________________________________________________________
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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solved
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10 months ago
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