Real Numbers
Class 9th Mathematics Part I MHB Solution
Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type.
i. 
ii. 
iii. 
iv. 
v. 
Answer:
i. 
∵ The division is exact
∴ it is a terminating decimal.
ii. 
∵ The division never ends and the digits ‘18’ is repeated endlessly
∴ it is a non-terminating recurring type decimal.
iii. 
∵ The division is exact
∴ it is a terminating decimal.
iv. 
∵ The division is exact
∴ it is a terminating decimal.
v. 
∵ The division never ends and the digit ‘3’ is repeated endlessly
∴ it is a non-terminating recurring type decimal.
Question 2.
Write the following rational numbers in decimal form.
i. 
ii. 
iii. 
iv. 
v. 
Answer:
i. 
ii. 
iii. 
iv. 
v. 
Question 3.
Write the following rational numbers in form.
i. 
ii. 
iii. 
iv. 
v. 
Answer:
i. 
Let 
⇒ 10x = 6.66666......
Now,
10x - x = 6.66 – 0.6666
⇒9x = 6
ii. 
Let 
⇒ 100x = 37.3737......
Now,
100x - x = 37.3737 – 0.3737
⇒ 99x = 37
iii. 
Let 
⇒ 100x = 317.1717......
Now,
100x - x = 317.1717 – 3.1717
⇒ 99x = 314
iv. 
Let 
⇒ 100x = 1589.8989......
Now,
100x - x = 1589.8989 – 15.8989
⇒ 99x = 1574
v. 
Let 
⇒ 1000x = 2514.514514......
Now,
1000x - x = 2514.514514 – 2.514514
⇒ 999x = 2512
