NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

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NCERT Solutions for Class 7 Mathematics Chapter 9 Rational Numbers are provided in this article. A rational number is a number that can be expressed as a ratio of p/q, where p and q are integers, and q does not equal to zero. The numerator and the denominator of a rational number will be integers. Some of the important topics in Rational Numbers chapter include:

Rationalize the Denominator
Number Systems
Operations on Rational Numbers
Relation Between HCF and LCM
Decimal Expansion of Rational Numbers
Irrational Numbers

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers is given below.

Class 7 Maths Chapter 9 Rational Numbers – Important Topics

Rational Number: A rational number is a number which is represented as a ratio of two numbers in the form p/q where 'q' is not equal to zero and both 'p' and 'q' are integers.

Number 8 can be written as fraction 8/1, it will be a rational number.
3/4 can be written as a fraction since it is a rational number.
We can write the decimal 1.5 as the ratio of 3/2. Therefore, it is also a rational number
O.333...can be written as 1/3. So it is a rational number
Recurring decimals like 0.262626..., all finite decimals andl integers are also rational numbers.

Example: If A had 5/8 litres of milk and gave 3/5 literes of milk to B. How much is left with A?

Ans. A gave 3/5 litres of milk from 5/8 litres.

Thus,

5/8 – 3/5

= (25 – 24) / 40

= 1/40 litres of milk is left with A.

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers Exercises are given below.

Read More:

Reciprocal and Division of Fractions	Properties of Rational Numbers	Reciprocals
Additive Identity and Multiplicative Identity	Distributive Properties	Distributive Properties Formula

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NCERT Solutions for Class 7 Maths	Number System	Geometry
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CBSE X Related Questions

1.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals
- $x^2 + 5x - 4$
- $(x + 3) (-x + 8)$
- $a(x^2 + 5x - 24)$
- $x^2 - 24$
View Solution
2.
If $\alpha, \beta$ are the zeroes of the polynomial $p(x) = x^2 - 3x - 1$, then find the value of $\frac{1}{\alpha} + \frac{1}{\beta}$.
View Solution
3.
The HCF of 960 and 432 is :
- 48
- 54
- 72
- 36
View Solution
4.
Assertion (A) : H.C.F. $(36 m^{2}, 18 m) = 18 m$, where $m$ is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.
- Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
View Solution
5.
Prove that :
$\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta$.
View Solution
6.
If the pair of linear equations : $ a_1x + b_1y + c_1 = 0 $ and $ a_2x + b_2y + c_2 = 0 $ is consistent and dependent, then
- $ \frac{a_1}{a_2} \neq \frac{b_1}{b_2} $
- $ \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} $
- $ \frac{a_1}{a_2} = \frac{b_1}{b_2} \neq \frac{c_1}{c_2} $
- $ \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} $
View Solution

View All

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NCERT Solutions for Class 7 Mathematics Chapter 5: Lines and Angles

NCERT Solutions For Class 7 Science Chapter 15 : Visualizing Solid Shapes

NCERT Solutions For Class 7 Mathematics Chapter 4: Simple Equations

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NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Class 7 Maths Chapter 9 Rational Numbers – Important Topics

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

CBSE X Related Questions

1.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

2.
If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

3.
The HCF of 960 and 432 is :

4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.
Prove that :
\(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

6.
If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

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NCERT Solutions for Class 7 Mathematics Chapter 9: Rational Numbers

​Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

NCERT Solutions for Class 7 Maths Chapter 9 Rational Numbers

Class 7 Maths Chapter 9 Rational Numbers – Important Topics

NCERT Solutions for Class 7 Maths Chapter 9 Exercises

CBSE X Related Questions

1.If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

2.If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

3.The HCF of 960 and 432 is :

4.Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number. Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.Prove that : \(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

6.If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then

Comments

SUBSCRIBE TO OUR NEWS LETTER

Download PDF: NCERT Solutions for Class 7 Mathematics Chapter 9 pdf

1.
If the zeroes of a polynomial p(x) are $-3$ and 8, then p(x) equals

2.
If \(\alpha, \beta\) are the zeroes of the polynomial \(p(x) = x^2 - 3x - 1\), then find the value of \(\frac{1}{\alpha} + \frac{1}{\beta}\).

3.
The HCF of 960 and 432 is :

4.
Assertion (A) : H.C.F. \((36 m^{2}, 18 m) = 18 m\), where \(m\) is a prime number.
Reason (R) : H.C.F. of two numbers is always less than or equal to the smaller number.

5.
Prove that :
\(\frac{\tan \theta}{1 - \cot \theta} + \frac{\cot \theta}{1 - \tan \theta} = 1 + \tan \theta + \cot \theta\).

6.
If the pair of linear equations : \( a_1x + b_1y + c_1 = 0 \) and \( a_2x + b_2y + c_2 = 0 \) is consistent and dependent, then