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

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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.
\(17 \times 11 \times 13 + 11\) is
- a prime number.
- multiple of 17.
- a composite number.
- an odd number.
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2.
Find the missing frequencies p and q in the following frequency distribution, when sum of frequencies is 40 and mean is 19 :
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3.
In the given figure, two triangles ABC and PQR are shown such that \(\angle A = \angle P\) and \(\angle C = \angle R\). If \(AD \perp BC\) and \(PS \perp QR\), then prove that (i) \(\Delta ADB \sim \Delta PSQ\) (ii) \(AD \times QS = BD \times PS\).
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4.
In the given figure, \(\Delta ABC\) is a right-angled triangle with \(\angle A = 90^\circ\). AD is perpendicular to BC.

35(a)(i) Prove that \(\Delta DBA \sim \Delta DAC\)
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5.
Seema daily goes to a park to exercise on machines available there. When Seema spent 15 minutes on exercise bicycle and 30 minutes on double cross walker, she received a message of burning 435 calories on her fitness watch. When she spent 30 minutes on exercise bicycle and 40 minutes on double cross walker, she received a message of burning 690 calories. Based on above information, answer the following questions:

38(i) Represent the above situation in terms of a pair of linear equations in two variables.
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6.
There are many varieties of mushrooms available in the world. One such mushroom ‘Amanita muscaria’ has a upper part which is like red cap (hemispherical) and lower part is like white stem (cylindrical). The hemispherical cap’s radius = 3 cm and cylindrical stem is 2 cm high with diameter 1.4 cm. Considering mushroom a solid object, answer the following questions:

36(i) What is the total height of a mushroom ?
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