Practice Set 2.1 Real Numbers Class 9th Mathematics Part I MHB Solution

Real Numbers

Class 9th Mathematics Part I MHB Solution

Practice Set 2.1

Question 1.

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