options: Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
problem_activity: Task
Use long division to find the repeating decimal that represents $\frac{29}{13}$
Take the number obtained by including only the first two digits after the decimal point, and multiply that by $13$.
Take the number obtained by including only the first four digits after the decimal point, and multiply that by $13$.
Take the number obtained by including only the first six digits after the decimal point, and multiply that by $13$.
What do you notice about the product of $13$ and decimal approximations of $\frac{29}{13}$ as more and more digits are included after the decimal point?
How does what you observed in Part (e) help make sense of what it means for $\frac{29}{13}$ to be equal to the repeating decimal expression you found in the Part (a)?


correct_option_index: 1