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Kind of decimal expansion | Terminating or non terminating and repeating or non repeating Decimal Exapnsion

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00:02 Q1. Write the rational numbers in decimal form and say what kind of decimal expansion each has :

00:28 (i)Find the decimal expansion of 36/100

00:49 kind of decimal expansion : terminating

01:03 (ii)Obtain the decimal expansion of 1/11

01:15 process of long division

02:33 kind of decimal expansion : non-terminating and recurring (repeating)

(iii)Find the decimal expansion of 4 and 1/8

02:52 (iv)Obtain the decimal expansion 3/13

03:10 long division method

06:30 kind of decimal expansion : non-terminating and repeating

06:44 (v)Find the decimal expansions of 2/11

08:05 decimal expansion of rational number 2/11 : non-terminating and repeating

08:22 (vi)Obtain the decimal expansion 329/400

09:48 decimal expansion of rational number 329/400 is terminating

09:58 Q2. You know that 1/7 = 0.142857142857... Can you predict what the decimal expansions of 2/7, 3/7,4/7, 5/7, 6/7 are, without actually doing the long division? If so, how?

Given decimal expansion of rational number 1/7 = 0.142857142857...

11:00 decimal expansion of rational number 2/7

11:42 decimal expansion of rational number 3/7

12:20 decimal expansion 4/7

12:58 decimal expansion of rational number 5/7

13:40 decimal expansion 6/7

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