Question

every repeating decimal is a rational number. give reason

Answer 1

Hi there,

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers

Answer 2

A rational number can also be represented in decimal form and the resulting decimal is a repeating decimal. (I see the decimal 0.25 as repeating since it can be written 0.25000...) Also any decimal number that is repeating can be written in the form a/b with b not equal to zero so it is a rational number..