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# 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.

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.

i.

ii.

iii.

iv.

v.

Question 3.

Write the following rational numbers in form.

i.  ii.

iii.  iv.

v.

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