Mathematics Part I Solutions Solutions for Class 9 Maths Chapter 2 Rational Numbers are provided here with simple step-by-step explanations. These solutions for Rational Numbers are extremely popular among Class 9 students for Maths Rational Numbers Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Part I Solutions Book of Class 9 Maths Chapter 2 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Part I Solutions Solutions. All Mathematics Part I Solutions Solutions for class Class 9 Maths are prepared by experts and are 100% accurate.
Page No 21:
Question 1:
Simplify the expressions below
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
Answer:
(i)
(ii)
(iii)
(iv)
(v)
= x + y
(vi)
=
(vii)
(viii)
Page No 23:
Question 1:
Can’t you do the following problem?
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
Answer:
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
(viii)
(ix)
Page No 24:
Question 1:
Try these problems on your own:
(i)
(ii)
(iii)
(iv)
Answer:
(i)
(ii)
(iii)
(iv)
Page No 28:
Question 1:
If , then what is
?
Answer:
We have
, i.e., the fractions
are the different forms of the same number.
Let
⇒ x = = 3z and y =
= 4z
Substituting in, we get:
⇒
Page No 28:
Question 2:
Prove that if then
. Will this be true if we use some other numbers instead of 2, 5, 4 and 6?
Answer:
We have
, i.e., the fractions
are the different forms of the same number.
Let
⇒ x = = uz and y =
= vz
Substituting in , we get:
⇒
Let us suppose we have numbers a, b, c and d instead of 2, 5, 4 and 6 in the given equation.
Therefore, we need to show
L.H.S. =
= R.H.S.
Hence, we can use any number instead of the numbers 2, 5, 4 and 6 for the given equation to hold true.
Page No 28:
Question 3:
Prove that if then each is equal to
. Is this true for other numbers, instead of 2 and 5?
Answer:
We have
, i.e., the fractions
are the different forms of the same number.
Let
⇒ x = = uz and y =
= vz
As , we get:
Let us suppose we have numbers a and b, c and d instead of 2 and 5 in the given equation.
Therefore, we need to show
As , we get:
Hence, we can use any number instead of the numbers 2 and 5 for the given equation to hold true.
Page No 34:
Question 1:
Try writing the following fractions as decimals.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
Answer:
(i)
The fraction can be expressed in decimals by division method as:
∴= 0.111…
(ii)
The fraction can be expressed in decimals by division method as:
∴= 0.222…
(iii)
The fraction can be expressed in decimals by division method as:
∴= 0.1428571…
(iv)
The fraction can be expressed in decimals by division method as:
∴= 0.0909….
(v)
The fraction can be expressed in decimals by division method as:
∴= 0.1818….
(vi)
The fraction can be expressed in decimals by division method as:
∴= 0.0833…
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