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

Class 7 Maths Study Guides:

NCERT Solutions for Class 7 Maths	Number System	Geometry
Arithmetics	Basic Maths	Maths Formulas

CBSE X Related Questions

1.
The graph of \(y = f(x)\) is given. The number of zeroes of \(f(x)\) is :
- 0
- 1
- 3
- 2
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2.
In the adjoining figure, the slant height of the conical part is :
- 4 cm
- 7 cm
- 5 cm
- 25 cm
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3.
Which of the following sequence is \(\textit{not }\)an A.P. ?
- \( 2, \frac{5}{2}, 3, \frac{7}{2}, \dots \)
- \( -1.2, -3.2, -5.2, -7.2, \dots \)
- \( \sqrt{2}, \sqrt{8}, \sqrt{18}, \dots \)
- \( 1^2, 3^2, 5^2, 7^2, \dots \)
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4.
In the given figure, \( \triangle AHK \sim \triangle ABC \). If \( AK = 10 \text{ cm} \), \( BC = 3.5 \text{ cm} \) and \( HK = 7 \text{ cm} \), find the length of \( AC \).
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5.
Verify that roots of the quadratic equation \((p - q)x^2 + (q - r)x + (r - p) = 0\) are equal when \(q + r = 2p\).
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6.
The dimensions of a window are 156 cm \(\times\) 216 cm. Arjun wants to put grill on the window creating complete squares of maximum size. Determine the side length of the square and hence find the number of squares formed.
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