In calculus, it is frequently important to write an expression in the form , where c is a constant and n is a rational number. Write the expression in this form.

Question

In calculus, it is frequently important to write an expression in the form  , where c is a constant and n is a rational number. Write the expression in this form. ​  ​

Quizplus · Accepted Answer

In order to write the expression in the given form, we need to identify the constant and rational number. The constant is the part of the number that comes after the first 11 digits and before the last 11 digits, which in this case is 5218. 
To find the rational number we need to divide this constant by a power of 10 that is equal to the number of digits after the constant. In this case there are four digits after, so we divide by 10000. 
Therefore, the rational number is 5218/10000, which can be simplified to 259/500. 
So the expression in the required form is 11eb0d3b_9768_521b_9790_bfb326966df7_TB1243_11, which corresponds to choice C.

In Calculus, It Is Frequently Important to Write an Expression