Question

EXERCISE 1.3
1. Write the following in decimal form and say what kind of decimal expansin
has:
(1) 36/100
-=-=
(iv)​

Answer 1

Q.1 Write the following in decimal form and say what kind of decimal expansion each has :

(i) 36/100

(ii) 1/11

(iii) 4 1/8

(iv) 3/13

(v) 2/11

(vi) 329/400

Step-by-step explanation:

Sol.

(i) 36/100 in decimal form -

36100=0.36,, terminating decimal.

(ii) By long division,we have

1.3

Therefore 1/11=0.090909.....=0.09¯¯¯¯¯, non- terminating and repeating decimal.

(iii) 4 1/8=4×8+18=338 By long division , we have

1.4

Therefore 338=4.125, terminating decimal.

(iv) By long division, we have

1.5

Therefore 3/13=0.23076923..=0.230769¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯,

non- terminating and repeating decimal.

(v) By long division we have1.6

Therefore 2/11=0.181818..=0.18¯¯¯¯¯,

non- terminating and repeating decimal.

(vi) By long division, we have

1.7

Therefore 329/400=0.8225, terminating decimal.

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