Answer:
.272727.... = .27/(1 - .01) = .27/.99 = 27/99 = 3/11
To convert a repeating decimal to a rational number in simplest form, multiply the decimal by a power of 10 to eliminate the repeating part. Then, divide the result by the appropriate power of 10. For 0.27¯¯¯¯¯, the simplest form is 27/100.
To convert a repeating decimal to a rational number in simplest form, we can use the algebraic technique. Let x be the repeating decimal. Multiply x by a power of 10 so that all the repeating digits are to the left of the decimal point. Subtract x from the result to eliminate the repeating part. Finally, divide the result by the appropriate power of 10 to get the rational number in simplest form.
In this case, 0.27¯¯¯¯¯ is equal to 27¯¯¯¯¯/100¯¯¯¯¯. Now, let's simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 1. The simplified form of 27¯¯¯¯¯/100¯¯¯¯¯ is 27/100.
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The statement can be written in the mathematical form will be 10 - n. Then the correct option is A.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.
The statement is given as "10 less than n".
The statement can be written in mathematical form and will be
⇒ 10 - n
The statement can be written in the mathematical form will be 10 - n.
Then the correct option is A.
More about the Algebra link is given below.
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