MATH SOLVE

3 months ago

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" .

__________________________________________________________

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" .

______________________________________________________

__________________________________________________________

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" .

______________________________________________________