Question

convert the following rational numbers into decimal and stage whether it is terminating or non terminating 13/4, 145/8, 874/999
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Answer 1

Convert the following rational number into decimals and state the kind of decimal expansion.

(i)

100

42

(ii) 8

7

2

(iii)

55

13

(iv)

500

459

(v)

11

1

(vi) −

13

3

(vii)

3

19

(viii)−

32

7

.

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Answer

(i) 0.42, terminating

(ii) 8.

285714

, non-terminating and recurring

(iii) 0.2

36

, non-terminating and recurring

(iv) 0.918, terminating

(v) 0.

09

, non-terminating and recurring

(vi) −0.

230769

, non-terminating and recurring

(vii) 6.

3

, non-terminating and recurring

(viii) −0.21875, terminating.