CBSE Class 9MathematicsNumber System
THE NON- TERMINATING REPEATING NUMBERS Miss Rishika is a versatile mathematics teacher at secondary level in her school. She is popular amongst her students for making mathematics look simple. In today’s class she is going to explain the concept of non – terminating decimals and non – terminating repeating decimals. So she gives her students the fraction 3/13 and tells them to divide 3 by 13 by long division method.
Step-by-step solution
As we can see repetition starts after 6 steps. (b) Because the remainder comes out to be 3, which is the original dividend. (c) Decimal representation of is (d) No, Because they are rational numbers. (e) Let x = 0. = 0.666 ... (i) Multiplying above equation by 10, as only one digit is repeating 10x = 6.666... = 6.. ...(ii) Subtracting equation (i) from (ii), we get