Respuesta :
For the repeating fraction, It depends on the denominator as which power of 10 is the nearest factor of denominator.
According to the statement
we have to find that the power of 10 which is multiply the equation by which writing a decimal with repeating digits as a fraction.
So, For this purpose, we know that the
Fraction is a number expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are integers.
So, From the given information:
To decide the power of 10 to multiply an equation with repeating digits ; Round the equation to the required significant numbers.
when the numerator of an equation is divided by the denominator and the result is not a whole number ( i.e. number with some decimals)and sometimes the decimal places are unending. to present the result properly we have to round off the number to the nearest significant number, then you can multiply the equation with the power of 10, in relation to the number of significant places you rounded off.
Example :
5/200 = 0.025
To express this answer with the power of 10
0.025 = 2.5 * 10^-2
Here the power of 10 is -2.
So, For the repeating fraction, It depends on the denominator as which power of 10 is the nearest factor of denominator.
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