Question

9th class maths 1.3exercise

Answer 1

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

(i) 

(ii) 

iii) 

(iv) 

(v) 

(vi) 

Ans. (i) 

On dividing 36 by 100, we get

Therefore, we conclude that

, which is a terminating decimal.

(ii) 

On dividing 1 by 11, we get

We can observe that while dividing 1 by 11, we got the remainder as 1, which will continue to be 1.

Therefore, we conclude that

, which is a non-terminating decimal and recurring decimal.

(iii) 

On dividing 33 by 8, we get

We can observe that while dividing 33 by 8, we got the remainder as 0.

Therefore, we conclude that

, which is a terminating decimal.

(iv) 

On dividing 3 by 13, we get

We can observe that while dividing 3 by 13 we got the remainder as 3, which will continue to be 3 after carrying out 6 continuous divisions.

Therefore, we conclude that

, which is a non-terminating decimal and recurring decimal.

(v) 

On dividing 2 by 11, we get

We can observe that while dividing 2 by 11, first we got the remainder as 2 and then 9, which will continue to be 2 and 9 alternately.

Therefore, we conclude that

, which is a non-terminating decimal and recurring decimal.

(vi) 

On dividing 329 by 400, we get

We can observe that while dividing 329 by 400, we got the remainder as 0.

Therefore, we conclude that

, which is a terminating decimal.

Answer 2

Step-by-step explanation:

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